RABENZIX Randomness Test Suite
The
article here below is about a total new randomness test, based upon the Laws of
Benford and Zipf. It is called the RABENZIX Randomness Test Suite. It reads the
suposed random file in 16 bit blocks from which a 8x8Real value is calculated.
The frequencies of the first two digits of these Reals are counted and on the
data a chi-square goodness of fit with 89 degrees of freedom is performed. This
for the fit with Newcomb-Benford law. For the fit with Zipf law the log10() of
the relative frequencies is scatter plotted against the log10() of the values
of the digits. The data is analysed and p-values are calculated. To my
knowledge the linear regression with Zipf is exceptional because it is not
based on chi-square.
SATOCONOR.COM
J.G. van der Galiën
‘RABENZIX Randomness Test Suite’ 5.4. (2006)
Full paper and documentation
S.A.T.O. Journal of RANDOMICS
RABENZIX Randomness Test Suite
One of the tools of
Randomics
By Johan Gerard van der
Galiën
For comments: johan.van.der.galien@satoconor.com
Version 1.0 September 19, 2006
Download
RABENZIX.exe plus source code
Abstract:
A totally new version of the RABENZIX Randomness Test Suite, formerly
called RABENZI, is presented in this paper which can also be regarded as the
documentation. Both suites are based on the Laws of Newcomb-Benford and Zipf
applied to the distribution of computer Reals read from random files.
Unorthodox 8 bits Mantissa and 8 bits Exponent Reals were used with a
fixed Significant to 0 (+, unsigned Reals). These 8x8 Reals have the advantage
that for one floating point number only 16 bits are required. And all these
bits are significant for the randomness test, which would not be the case for
bigger Reals. The frequency of the first two digits of the Reals is counted for
a sample and a Goodness-of-Fit Chi-square test is done with 89 degrees of
freedom against the expected values from the Law of Newcomb-Benford. The log10()
of the relative frequency of the digits is scatter plotted against the log10()
of the value of the digits.
Then linear regression is preformed for the fit with the Law of Zipf.
The 8x8 Reals have also the advantage that the total population can be scatter
plotted for the calibration of the Zipf tests. In other words the Pearson
product moment correlation coefficient of the total population is known (
The Newcomb-Benford test can be sampled up to thousand times for files
around 125 Mb. The RABENZIX results for 13 PRNG’s, some good and some bad are
compared to the NIST and DIEHARD results. The conclusion is that RABENZIX is
much more sensitive than the other suites and can discriminate between
Exceptional Good, Very Good, Good, Neutral, Dubious, Bad, Very Bad and
Exceptional Bad (P)RNG’s and put them in one of these 8 grades.
1. Introduction
1.1. Basic ideas of
RABENZIX
There are very
good references about the Laws of Newcomb-Benford and Zipf.1-4 So I
will not go in to detail of that. RABENZIX emanated from my earlier published
research on randomness of the factorial first digit distribution and the first
digit distribution of number spaces from unorthodox computer Reals.5,6
To my surprise I discovered that they follow indeed Newcomb-Benford and Zipf
Laws. To me this was counterintuitive. Then I learned that the formula (1.1)
the processor uses to calculate the Normals of Reals involved powers of two,
who themselves give an almost perfect Newcomb-Benford distribution.6
0
<= E < 256 Real8x8 = (-1)S2E-B(1+M/2P) (1.1.) B is the Exponent bias set to 127
P is the Mantissa
resolution set to 8
S
fixed at 0 (1 bit)
M
mantissa >= 0 and < 256 (8 bits)
E
exponent (8 bits)
There
are only Normals with Real8x8
A
Newcomb-Benford distribution is scale invariant, which means it retains its
property despite multiplying by any factor. Then multiplying a random Exponent
(E) by a random Mantissa part (1+M/2P) also has no effect on the
potential Newcomb-Benford distribution of the Exponent if the sample is truly
random and at least the size of the total number space. These ideas lead to the
improved RABENZIX Randomness Test Suite.
A
random file is divided into samples. The samples are divided into 16 bits
blocks. The Real8x8 value is calculated. The frequency of the 90 first two
digits classes is counted and a Goodness-of-Fit Chi-square with 89 degrees of
freedom against the expected values of Newcomb-Benford is calculated for each
sample. For the Zipf test the whole file is divided into 16 bits block. The log10()
values of the relative frequencies is scatter plotted against the log10()
values of the digit pairs. This gives 90 (x,y) coordinates, with these linear
regression is performed and compared to the results of the total number space.
1.2. Proportions of the
Newcomb-Benford test
NIST gives in
their documentation a good method how to calculate the approximate minimal
criterion (Cα) for the proportion of p-values above a specified criterion
that a truly random file certainly should have.7
Cα = P’-3√(P’(1-P’)/N) (1.2.) α level of significance 99%
probability = 0.01
P’
= (1-α)
N
is number of measured p-values
proportion = (number of p-values above
α) / N (1.3.)
1.3. P-of-the-p’s
Newcomb-Benford test
From the p-values
of all the samples one can test for the uniformity of the distribution between
0 and 1 divided into 10 classes. Wherefore again a Chi-square value is
calculated this time with 9 degrees of freedom. The program gives an overall
p-value (P) for these p’s. The criterion NIST has developed, but no
justification is given in their documentation, is only P > 0.0001.7
I adapted RABENZIX so that this only works for number of samples >= 50,
because it is a general rule in Statistics that one should have at least 5 as
expected value for the classes.8
1.4. Results linear regression
Zipf test
There are no hard criteria for the
observed slope and intersection. They can only be compared to the results of
the total number space (Log 1). On the other hand the Pearson product moment
correlation coefficient (R) is suitable for confidence intervals. Correlation
coefficients of samples from the same distribution are not normally
distributed. It is said that the distribution is skewed. In other words the
confidence intervals are asymmetrical. Calculation goes by Fisher R-to-Z transformation.9
Z = 0.5log((1+R)/(1-R)) (1.4.)
95% Z1 =
Z–1.96/√(N-3) and Z2 = Z+1.96/√(N-3) (1.5.) N number of data points = 90
99%
Z1 = Z–2.58/√(N-3) and Z2 = Z+2.58/√(N-3) (1.5.)
Interval
[(e2Z1-1)/(e2Z1+1), (e2Z2-1)/(e2Z2+1)]
(1.6.)
The
p-value of the difference between
Zdiff =|(ZRho-ZR)/√(1/(NRho-3)+1/(NR-3))|
(1.7.)
The
result of 1.7 is put into the Z-to-p polynomial from which you
can find many examples on the internet with different kinds of accuracy.10,11
2. Materials and Methods
RABENZIX was programmed with
Borland C++Builder 3 and is mainly pure Borland C. For the p-values the
pochisq() and poz() functions were used, programmed by Gery Perlman and they
are copyright free.12 11 or 12 Mb test files from good and bad
PRNG’s were made by APTEST5.exe (PI.DAT), adapted MTRAND.exe (TWISTER.DAT),
FRAG.exe (FRAG.DAT), QREG.exe (QREG.DAT) or the Sts-1.7.exe GUI of the NIST
Statistical Test Suite For Random And Pseudorandom Number Generators For
Cryptographic Applications (all the others).13-15a,17,18 Sts-1.7.exe
did not do all the SHA based generators on my Windows XP Pentium-4
configuration most likely that they are not ported from SUN Solaris to Windows.
So I could only use 9 PRNG’s from the GUI.
|
PRNG keywords used in this paper |
Full name |
|
PI |
Hexadecimal expansion of PI, two digits stored in a byte, APTEST5 |
|
MS |
Miscali Schnorr generator, NIST |
|
LCG |
A linear congruential generator, NIST |
|
XOR |
XOR generator, NIST |
|
GDES |
G using DES generator, NIST |
|
QCG1 |
First Quadratic Congruential Generator, NIST |
|
QCG2 |
Second Quadratic Congruential Generator, NIST |
|
BBS |
Blum-Blum-Shub cryptographic generator, NIST |
|
CCG |
Cubic Congruential Generator, NIST |
|
MODEXP |
MODular EXPonentiation, NIST |
|
TWISTER |
Mersenne Twister 19937, MTRAND |
|
FRAG1 |
Factorial
RAndomness Generator (6.25 Mb, Minimum file size) Home made |
|
FRAG2 |
Factorial
RAndomness Generator (12 Mb, Recommended file size) Home made |
|
FRAG3 |
Factorial
RAndomness Generator (125 Mb, Maximum file size) Home made |
|
QREG |
Quantum Randomness
Emulation Generator, Home made |
Table 1: The
keywords used for the tested PRNG’s in this paper.
3. Results
3.1. Calibration of
RABENZIX
----------------------------
Uniform and Zipf tests
with samples of Normals
from 8 bits exponent and
8 bits mantissa Reals (8x8)
----------------------------
Total amount of Reals
tested = 64633
Upper limit = 1.0E+38
Lower limit = 1.0E-38
----------------------------
Test for the fit with
Newcomb-Benford Distribution
of the first two digits
of the Reals
CHI-Benford 8x8 Reals =
3.979E+00
CHI 89 degrees of freedom
1% = 6.093E+01
CHI 89 degrees of freedom
5% = 6.825E+01
CHI 89 degrees of freedom
95% = 1.120E+02
CHI 89 degrees of freedom
99% = 1.229E+02
----------------------------
Counts observed e10 =
2663
Counts observed e11 =
2457
Counts observed e12 =
2234
Counts observed e13 =
2064
Counts observed e14 =
1946
Counts observed e15 =
1815
Counts observed e16 =
1690
Counts observed e17 =
1606
Counts observed e18 =
1531
Counts observed e19 =
1450
Counts observed e20 =
1366
Counts observed e21 =
1297
Counts observed e22 =
1249
Counts observed e23 =
1208
Counts observed e24 =
1145
Counts observed e25 =
1089
Counts observed e26 =
1051
Counts observed e27 =
1013
Counts observed e28 = 989
Counts observed e29 = 957
Counts observed e30 = 924
Counts observed e31 = 891
Counts observed e32 = 858
Counts observed e33 = 832
Counts observed e34 = 810
Counts observed e35 = 796
Counts observed e36 = 774
Counts observed e37 = 757
Counts observed e38 = 736
Counts observed e39 = 714
Counts observed e40 = 692
Counts observed e41 = 674
Counts observed e42 = 658
Counts observed e43 = 639
Counts observed e44 = 634
Counts observed e45 = 615
Counts observed e46 = 608
Counts observed e47 = 600
Counts observed e48 = 581
Counts observed e49 = 564
Counts observed e50 = 551
Counts observed e51 = 538
Counts observed e52 = 536
Counts observed e53 = 515
Counts observed e54 = 510
Counts observed e55 = 503
Counts observed e56 = 495
Counts observed e57 = 494
Counts observed e58 = 482
Counts observed e59 = 475
Counts observed e60 = 462
Counts observed e61 = 462
Counts observed e62 = 447
Counts observed e63 = 444
Counts observed e64 = 427
Counts observed e65 = 431
Counts observed e66 = 417
Counts observed e67 = 415
Counts observed e68 = 412
Counts observed e69 = 398
Counts observed e70 = 400
Counts observed e71 = 396
Counts observed e72 = 386
Counts observed e73 = 388
Counts observed e74 = 384
Counts observed e75 = 373
Counts observed e76 = 368
Counts observed e77 = 368
Counts observed e78 = 361
Counts observed e79 = 353
Counts observed e80 = 349
Counts observed e81 = 343
Counts observed e82 = 339
Counts observed e83 = 335
Counts observed e84 = 332
Counts observed e85 = 326
Counts observed e86 = 319
Counts observed e87 = 320
Counts observed e88 = 319
Counts observed e89 = 315
Counts observed e90 = 312
Counts observed e91 = 303
Counts observed e92 = 311
Counts observed e93 = 297
Counts observed e94 = 302
Counts observed e95 = 298
Counts observed e96 = 290
Counts observed e97 = 291
Counts observed e98 = 286
Counts observed e99 = 278
Benford expected 10 =
2675
Benford expected 11 =
2442
Benford expected 12 =
2246
Benford expected 13 =
2080
Benford expected 14 =
1936
Benford expected 15 =
1811
Benford expected 16 =
1701
Benford expected 17 =
1604
Benford expected 18 =
1517
Benford expected 19 =
1439
Benford expected 20 =
1369
Benford expected 21 =
1305
Benford expected 22 =
1247
Benford expected 23 =
1194
Benford expected 24 =
1145
Benford expected 25 =
1100
Benford expected 26 =
1059
Benford expected 27 =
1020
Benford expected 28 = 985
Benford expected 29 = 951
Benford expected 30 = 920
Benford expected 31 = 891
Benford expected 32 = 863
Benford expected 33 = 837
Benford expected 34 = 813
Benford expected 35 = 790
Benford expected 36 = 769
Benford expected 37 = 748
Benford expected 38 = 729
Benford expected 39 = 710
Benford expected 40 = 693
Benford expected 41 = 676
Benford expected 42 = 660
Benford expected 43 = 645
Benford expected 44 = 630
Benford expected 45 = 616
Benford expected 46 = 603
Benford expected 47 = 590
Benford expected 48 = 578
Benford expected 49 = 567
Benford expected 50 = 555
Benford expected 51 = 545
Benford expected 52 = 534
Benford expected 53 = 524
Benford expected 54 = 515
Benford expected 55 = 505
Benford expected 56 = 496
Benford expected 57 = 488
Benford expected 58 = 479
Benford expected 59 = 471
Benford expected 60 = 463
Benford expected 61 = 456
Benford expected 62 = 449
Benford expected 63 = 442
Benford expected 64 = 435
Benford expected 65 = 428
Benford expected 66 = 422
Benford expected 67 = 415
Benford expected 68 = 409
Benford expected 69 = 403
Benford expected 70 = 398
Benford expected 71 = 392
Benford expected 72 = 387
Benford expected 73 = 381
Benford expected 74 = 376
Benford expected 75 = 371
Benford expected 76 = 366
Benford expected 77 = 362
Benford expected 78 = 357
Benford expected 79 = 353
Benford expected 80 = 348
Benford expected 81 = 344
Benford expected 82 = 340
Benford expected 83 = 336
Benford expected 84 = 332
Benford expected 85 = 328
Benford expected 86 = 324
Benford expected 87 = 320
Benford expected 88 = 317
Benford expected 89 = 313
Benford expected 90 = 310
Benford expected 91 = 306
Benford expected 92 = 303
Benford expected 93 = 300
Benford expected 94 = 297
Benford expected 95 = 293
Benford expected 96 = 290
Benford expected 97 = 287
Benford expected 98 = 284
Benford expected 99 = 282
----------------------------
Test for correlation with
Zipf (Double)
Slope = -9.8384198119E-01
Intersection =
-3.9461499402E-01
Correlation coefficient
(R) = -9.9987966742E-01
----------------------------
Log 1: The total Real8x8 number space tested. One can also call this the
total population because these are the results to be expected from an infinite
random file. Then the R is actually
3.2. RABENZIX compared to
other test suites
|
|
|
DIEHARD |
|
|
|
PRNG |
RABENZIX parts passed |
Parts passed (0 < p < 1) out of 229 |
Overall KS value |
NIST parts passed out of 390 |
|
PI |
7 |
229 |
0.221918 |
389 |
|
MS |
5 |
194 |
0 |
390 |
|
LCG |
2 |
189 |
0 |
390 |
|
XOR |
3 |
177 |
0 |
287 |
|
GDES |
3 |
197 |
0 |
389 |
|
QCG1 |
4 |
192 |
0 |
379 |
|
QCG2 |
0 |
2 |
0 |
90 |
|
BBS |
3 |
196 |
0 |
387 |
|
CCG |
0 |
187 |
0 |
361 |
|
MODEXP |
4 |
191 |
0 |
356 |
|
TWISTER |
5 |
229 |
0.609256 |
384 |
|
FRAG1 |
7 |
143 (out of 143) |
0.165354 |
378 |
|
FRAG2 |
7 |
228 |
0.023995 |
381 |
|
FRAG3 |
4 |
230 (out of 231) |
0.023458 |
374 |
|
QREG |
5 |
229 |
0.565217 |
389 |
Table 2: RABENZIX compared
to most used test suites.7,15ab See also Appendix A, B and C.
4. Discussion
The
Chi-square for the whole population (3.979, p = 0.9999) from Log 1 shows
actually an too good fit to be true (random) according to the fact that it is
far above the 99% probability (<< 60.93, p = 0.9900). But the lower limit
of Chi-square does not seem to apply for testing PRNG’s because NIST also does
not use that for their Level of Significance (α = 0.01, p > α) of
the sixteen tests, P of the p’s and proportions.7 Also the total
Real8x8 number space, in other words the whole population, gives equal results
as a (near) INFINITE random file. Then you can talk about a true entropy of
exact 1 bits per bit. Should that not give also a very good fit? That the
Chi-square is not exactly 0 and the
From
Log 1 also comes the size of the Real8x8 number space (between 1.0E-38 and
1.0E+38) 64633 floating-point numbers. This is equal to 126 Kb and I think the
Newcomb-Benford test should be set up so that the size of one sample is around
126 Kb. You could say the test is calibrated for that because then you are most
likely to get a good fit for Newcomb-Benford just like the total number space.
Combined with the fact that Chi-square will always show a deviation if the
expected and observed values are large enough.16 So to be on the
save side do not use sample sizes much larger or lower than 126 Kb. The linear
regression results for the fit with Zipf on the contrary get worse if the
number of tested Reals get smaller. In the development phase I discovered that
for a 5.5 Mb file size the results are still good for my ultimate reference
PI.dat. Remember that Newcomb-Benford divides the file in to samples and Zipf
uses the whole file. One needs an expected value of 5 for the P-of-the-p’s
(minimum 50 samples). Also for the proportions there must be a reasonable
change that there will be at least one p-value below the 0.01 (minimum number
of samples is around 100) or the 0.05 (minimum number of samples is around 20)
criteria. Combining this knowledge I come to Table 3.
|
Indication file size (Mb) |
Number of samples |
Recommendation |
|
6.25 |
50 |
Minimum file size and
number of samples |
|
(Around) 10 |
80 |
Recommended file size |
|
25 |
200 |
|
|
50 |
400 |
|
|
75 |
600 |
|
|
100 |
800 |
|
|
125 |
1000 |
Maximum file size and
number of samples |
Table 3: Recommendations
for file size and number of samples.
From Table 2 can be seen that some PRNG’s that
are very good according to NIST do not pass DIEHARD, where a PRNG really fails
big when there are more than 6 p=1 or 0. The bad generators were bad in all
tests. So RABENZIX filters them out! The generators that were more or less good
in DIEHARD and NIST were also good in RABENZIX. So RABENZIX can detect good
generators! Moreover it makes a distinction between the very good PRNG’s PI,
TWISTER and QREG according to DIEHARD, and which are also good according to
NIST. PI passes all the 7 RABENZIX tests and confirms my suspicion that it is
the best available source of pseudo randomness, but TWISTER and GREG pass only
5 tests. All FRAG files where good in RABENZIX and DIEHARD but not in NIST.
Biggest problem is the frequency and block frequency of the bits. NIST says
these tests are fundamental and must be passed or otherwise further testing is
not necessary. DIEHARD proves them wrong! FRAG1 (6.25 Mb), FRAG2 (12 Mb) and
FRAG3 (125 Mb) pass 7, 7 and 4 RABENZIX tests respectively. But there can be a
file size effect in these data for the proportions and P of the p’s. Maybe
these test get more critical with increasing number of samples. Contrary the
fit with Zipf gets better R = -0.99983, -0.99986 and –0.99987 respectively. Consequently
5. Conclusions
·
RABENZIX has recommendations for file size and number
of samples founded on solid arguments from Statistics and experience.
·
RABENZIX can discriminate between good and bad
generators. It even subdivides the very good generators detected by DIEHARD and
NIST into Exceptional Good, Very Good and Good and can give graduation in 8
classes as shown in Table 4.
|
Number of parts of the suite passed |
Conclusion from the RABENZIX Randomness Test Suite |
Tested PRNG’s |
|
7 |
Exceptional Good |
PI, FRAG1, FRAG2
|
|
6 |
Very Good |
|
|
5 |
Good |
MS, QREG, TWISTER |
|
4 |
Neutral |
QCG1, MODEXP, FRAG3 |
|
3 |
Dubious |
XOR, GDES, BBS |
|
2 |
Bad |
LCG |
|
1 |
Very Bad |
|
|
0 |
Exceptional Bad |
QCG2, CCG |
Table 4: The
graduation of tested generators.
|
PRNG |
RABENZIX v3.0
BETA |
DIEHARD v0.2
BETA |
NIST Sts-1.7 |
|
PI |
PASS |
PASS |
PASS |
|
MS |
PASS |
FAIL |
PASS |
|
LCG |
FAIL |
FAIL |
PASS |
|
XOR |
FAIL |
FAIL |
FAIL |
|
GDES |
FAIL |
FAIL |
PASS |
|
QCG1 |
FAIL |
FAIL |
FAIL |
|
QCG2 |
FAIL |
FAIL |
FAIL |
|
BBS |
FAIL |
FAIL |
PASS |
|
CCG |
FAIL |
FAIL |
FAIL |
|
MODEXP |
FAIL |
FAIL |
FAIL |
|
TWISTER |
PASS |
PASS |
PASS |
|
FRAG1 |
PASS |
PASS |
FAIL |
|
FRAG2 |
PASS |
PASS |
FAIL |
|
FRAG3 |
FAIL |
PASS |
FAIL |
|
QREG |
PASS |
PASS |
PASS |
Table 5: The passing score of the tested PRNG’s for the
different test suites. This is my personal interpretation!
·
From Table 5 is clear that RABENZIX is more “in
phase” with DIEHARD than with NIST. But it can make the distiction in 8 grades.
Since
this is a BETA version it must be thoroughly tested in the field by end users
on as many (P)RNG’s as possible and from their reports maybe I can improve the
source code and this documentation. I also have the following question to end
users and RNG and randomness tests experts:
1.
Is the way I derived the p-values of the difference
between Rho Rho Rho Rho
2.
Does anyone know how to calculate the minimum and
maximum number of observations for the Chi-square Goodness-of-Fit test to be
valid? Because it is a well-known fact that there is always a deviation if the
sample size is large enough.16 This is also my experience.
3.
Why does the Chi-based test of NIST only have a 1%
probability level and not also a 99%? Like 0.01 < p < 0.99. This (single)
Level of Significance (α) is hard coded as ALPHA=0.01.
4.
Is there a maximum number of what NIST calls Number
Of Generated Bit streams for their tests. I found nothing about it in the
documentation.
5.
Can you send me the Stats, FinalAnalysisReports and
a description of every (P)RNG you tested with RABENZIX? Remember it is a BETA
version and I would like feedback. johan.van.der.galien@satoconor.com
People who help me to improve RABENZIX can get the source code!
-o0o-
Notes & References:
1) Newcomb S. 'Note on
the frequency of use of the different digits in natural numbers' Amer. J. Math.
4 39-40 (1881).
2)
Benford F. 'The law of anomalous numbers' Proceedings of the American
Philosophical Society 78(4) 551-572 (1938)
3)
Wikipedia 'Zipf's Law'
http://en.wikipedia.org/wiki/Zipf's_law
4)
Mathworld 'Zipf's Law'
http://mathworld.wolfram.com/ZipfsLaw.html
5)
Not used anymore.
6)
Van der Galiën J.G. ‘Sample spaces from reals follow Newcomb-Newcomb-Benford
and Zipf laws’ SATOCONOR.COM 4.1. (2005) http://www.satoconor.com
7)
Rukhin A, Soto J, Nechvatal J, Smid M, Barker E, Leigh S, Levenson M, Vangel M,
Banks D, Heckert A, Dray J, Vo S, ‘A statistical test suite for random and
pseudorandom number generators for cryptographic applications’ NIST Special
Publication 800-22 (with revisions dated May 15, 2001)
8) NIST 'Chi-Square Goodness-of-Fit Test'
http://www.itl.nist.gov/div898/handbook/eda/section3/eda35f.htm
9) Anonymous 'Confidence Interval on Pearson's
Correlation'
http://davidmlane.com/hyperstat/B8544.html
10) VassarStats 'Significance of the
Difference Between Two Correlation Coefficients'
http://faculty.vassar.edu/lowry/rdiff.html
11) Perlman G. 'compute approximations to
normal z distribution probabilities'
http://www.acm.org/~perlman/stat/doc/z.c
12) Perlman G. 'compute approximations to
chisquare distribution probabilities'
http://www.acm.org/~perlman/stat/doc/chisq.c
13) Mikko Tommila 'apfloat A C++ High
Performance Arbitrary Precision Arithmetic Package'
http://www.apfloat.org/apfloat/
14) Rick Wagner 'Mersenne Twister Random
Number Generator'
http://www-personal.engin.umich.edu/~wagnerr/MersenneTwister.html
15a) NIST 'Random Number Generation and
Testing'
15b) Anonymous ‘DIEHARD battery of tests of randomness
v0.2 beta’
http://www.cs.hku.hk/~diehard/
16)
Scott P.D., Fasli M. 'Benford's Law: An empirical investigation and a novel
explanation' CSM Technical Report 349
http://cswww.essex.ac.uk/technical-reports/2001/CSM-349.pdf
17)
Van der Galiën J.G. ‘A factorial randomness generator (FRAG PRNG)’ SATOCONOR.COM
3.1 (2004)
18)
Still in the development phase because the QREG generator is still to slow for
practical purposes.
Appendix A
RABENZIX FinalAnalysisReport.txt
logs from the eleven tested PRNG’s
Wed Sep 20 00:27:22 2006
Wed Sep 20 00:30:30 2006
----------------------------
RABENZIX VERSION 3.0
COPYRIGHT (c) 2004, 2005, 2006
ALL RIGHTS RESERVED
JOHAN GERARD VAN DER
GALIEN johan.van.der.galien@satoconor.com
----------------------------
Newcomb-Benford and Zipf
randomness tests with 8 bits
exponent and 8 bits
mantissa reals first two digits for PI.DAT
-------------8x8
REALS---------------
Total amount 16 bits
blocks (8x8 Reals) read = 5767143
Total amount of Real
numbers between 1.0E-38 and
1.0E+38 = 5687296
Total amount of Reals
tested (no zeroes) = 5687296
----------------------------
Number of samples = 87
Size of one sample
(bytes) = 132578
----------------------------
----------------------------
Test NEWCOMB-BENFORD (8x8
Real SAMPLED) Fd=log10(1+1/d)
First two digits 10 up to
99. So 89 degrees of freedom.
Approximate proportion
95% p's > 0.05 for 87 samples >= 0.8799
Proportion 95%
observed = 0.9080
Approximate proportion
99% p's > 0.01 for 87 samples >= 0.9580
Proportion 99%
observed = 0.9885
----------------------------
P of the p's 9 degrees of
freedom = 0.025193
Criterion is >= 0.000100
----------------------------
----------------------------
I REMIND YOU THAT THE RHO
MUST FALL IN THE
CONFIDENCE INTERVALS (CI)
OF R TO PASS THE TEST!
Test ZIPF (8x8 Real
UNSAMPLED) Fd=(10^b)*d^a --> log10(Fd)=a*log10(d)+b
Slope observed (a) = -9.8374E-01
CRITERION a total number
space = -9.8384E-01
Intersection observed (b) = -3.9477E-01
CRITERION b total number
space = -3.9461E-01
Correlation observed (R)
= -9.9986E-01
RHO of total
population = -9.9988E-01
CI 95% -9.9991E-01 <= R <= -9.9978E-01
CI 99% -9.9992E-01 <= R <= -9.9975E-01
p-value difference =
0.2871
CRITERION 95% p >= 0.0500
CRITERION 99% p >= 0.0100
----------------------------
Wed Sep 20 00:31:45 2006
Wed Sep 20 00:35:15 2006
----------------------------
RABENZIX VERSION 3.0
COPYRIGHT (c) 2004, 2005, 2006
ALL RIGHTS RESERVED
JOHAN GERARD VAN DER
GALIEN johan.van.der.galien@satoconor.com
----------------------------
Newcomb-Benford and Zipf randomness
tests with 8 bits
exponent and 8 bits
mantissa reals first two digits for MS.DAT
-------------8x8
REALS---------------
Total amount 16 bits
blocks (8x8 Reals) read = 6445553
Total amount of Real
numbers between 1.0E-38 and
1.0E+38 = 6356458
Total amount of Reals
tested (no zeroes) = 6356458
----------------------------
Number of samples = 97
Size of one sample
(bytes) = 132898
----------------------------
----------------------------
Test NEWCOMB-BENFORD (8x8
Real SAMPLED) Fd=log10(1+1/d)
First two digits 10 up to
99. So 89 degrees of freedom.
Approximate proportion
95% p's > 0.05 for 97 samples >= 0.8836
Proportion 95%
observed = 0.9175
Approximate proportion
99% p's > 0.01 for 97 samples >= 0.9597
Proportion 99% observed = 0.9691
----------------------------
P of the p's 9 degrees of
freedom = 0.001691
Criterion is >= 0.000100
----------------------------
----------------------------
I REMIND YOU THAT THE RHO
MUST FALL IN THE
CONFIDENCE INTERVALS (CI)
OF R TO PASS THE TEST!
Test ZIPF (8x8 Real
UNSAMPLED) Fd=(10^b)*d^a --> log10(Fd)=a*log10(d)+b
Slope observed (a) = -9.8386E-01
CRITERION a total number
space = -9.8384E-01
Intersection observed (b) = -3.9459E-01
CRITERION b total number
space = -3.9461E-01
Correlation observed (R)
= -9.9979E-01
RHO of total
population = -9.9988E-01
CI 95% -9.9986E-01 <= R <= -9.9969E-01 *
CI 99% -9.9988E-01 <= R <= -9.9964E-01
p-value difference =
0.0376
CRITERION 95% p >= 0.0500 *
CRITERION 99% p >= 0.0100
----------------------------
Wed Sep 20 00:35:45 2006
Wed Sep 20 00:39:14 2006
----------------------------
RABENZIX VERSION 3.0
COPYRIGHT (c) 2004, 2005, 2006
ALL RIGHTS RESERVED
JOHAN GERARD VAN DER
GALIEN johan.van.der.galien@satoconor.com
----------------------------
Newcomb-Benford and Zipf
randomness tests with 8 bits
exponent and 8 bits
mantissa reals first two digits for LCG.DAT
-------------8x8
REALS---------------
Total amount 16 bits blocks
(8x8 Reals) read = 6445553
Total amount of Real
numbers between 1.0E-38 and
1.0E+38 = 6356177
Total amount of Reals
tested (no zeroes) = 6356177
----------------------------
Number of samples = 97
Size of one sample
(bytes) = 132898
----------------------------
----------------------------
Test NEWCOMB-BENFORD (8x8
Real SAMPLED) Fd=log10(1+1/d)
First two digits 10 up to
99. So 89 degrees of freedom.
Approximate proportion
95% p's > 0.05 for 97 samples >= 0.8836
Proportion 95%
observed = 0.8454 *
Approximate proportion
99% p's > 0.01 for 97 samples >= 0.9597
Proportion 99%
observed = 0.9691
----------------------------
P of the p's 9 degrees of
freedom = 0.000787
Criterion is >= 0.000100
----------------------------
----------------------------
I REMIND YOU THAT THE RHO
MUST FALL IN THE
CONFIDENCE INTERVALS (CI)
OF R TO PASS THE TEST!
Test ZIPF (8x8 Real
UNSAMPLED) Fd=(10^b)*d^a --> log10(Fd)=a*log10(d)+b
Slope observed (a) = -9.8346E-01
CRITERION a total number
space = -9.8384E-01
Intersection observed (b) = -3.9519E-01
CRITERION b total number
space = -3.9461E-01
Correlation observed (R)
= -9.9975E-01
RHO of total
population = -9.9988E-01
CI 95% -9.9984E-01 <= R <= -9.9962E-01 *
CI 99% -9.9986E-01 <= R <= -9.9957E-01 *
p-value difference =
0.0088
CRITERION 95% p >= 0.0500 *
CRITERION 99% p >= 0.0100 *
----------------------------
Wed Sep 20 00:44:23 2006
Wed Sep 20 00:47:52 2006
----------------------------
RABENZIX VERSION 3.0
COPYRIGHT (c) 2004, 2005, 2006
ALL RIGHTS RESERVED
JOHAN GERARD VAN DER
GALIEN johan.van.der.galien@satoconor.com
----------------------------
Newcomb-Benford and Zipf
randomness tests with 8 bits
exponent and 8 bits
mantissa reals first two digits for XOR.DAT
-------------8x8
REALS---------------
Total amount 16 bits
blocks (8x8 Reals) read = 6445553
Total amount of Real
numbers between 1.0E-38 and
1.0E+38 = 6356605
Total amount of Reals
tested (no zeroes) = 6356605
----------------------------
Number of samples = 97
Size of one sample
(bytes) = 132898
----------------------------
----------------------------
Test NEWCOMB-BENFORD (8x8
Real SAMPLED) Fd=log10(1+1/d)
First two digits 10 up to
99. So 89 degrees of freedom.
Approximate proportion
95% p's > 0.05 for 97 samples >= 0.8836
Proportion 95%
observed = 0.8763 *
Approximate proportion
99% p's > 0.01 for 97 samples >= 0.9597
Proportion 99%
observed = 0.9691
----------------------------
P of the p's 9 degrees of
freedom = 0.005557
Criterion is >= 0.000100
----------------------------
----------------------------
I REMIND YOU THAT THE RHO
MUST FALL IN THE
CONFIDENCE INTERVALS (CI)
OF R TO PASS THE TEST!
Test ZIPF (8x8 Real
UNSAMPLED) Fd=(10^b)*d^a --> log10(Fd)=a*log10(d)+b
Slope observed (a) = -9.8394E-01
CRITERION a total number
space = -9.8384E-01
Intersection observed (b) = -3.9447E-01
CRITERION b total number
space = -3.9461E-01
Correlation observed (R)
= -9.9976E-01
RHO of total
population = -9.9988E-01
CI 95% -9.9984E-01 <= R <= -9.9964E-01 *
CI 99% -9.9986E-01 <= R <= -9.9959E-01 *
p-value difference =
0.0125
CRITERION 95% p >= 0.0500 *
CRITERION 99% p >= 0.0100
----------------------------
Wed Sep 20 00:49:07 2006
Wed Sep 20 00:52:37 2006
----------------------------
RABENZIX VERSION 3.0
COPYRIGHT (c) 2004, 2005, 2006
ALL RIGHTS RESERVED
JOHAN GERARD VAN DER
GALIEN johan.van.der.galien@satoconor.com
----------------------------
Newcomb-Benford and Zipf
randomness tests with 8 bits
exponent and 8 bits
mantissa reals first two digits for GDES.DAT
-------------8x8
REALS---------------
Total amount 16 bits
blocks (8x8 Reals) read = 6445553
Total amount of Real
numbers between 1.0E-38 and
1.0E+38 = 6356262
Total amount of Reals
tested (no zeroes) = 6356262
----------------------------
Number of samples = 97
Size of one sample
(bytes) = 132898
----------------------------
----------------------------
Test NEWCOMB-BENFORD (8x8
Real SAMPLED) Fd=log10(1+1/d)
First two digits 10 up to
99. So 89 degrees of freedom.
Approximate proportion
95% p's > 0.05 for 97 samples >= 0.8836
Proportion 95%
observed = 0.8763 *
Approximate proportion
99% p's > 0.01 for 97 samples >= 0.9597
Proportion 99%
observed = 0.9381 *
----------------------------
P of the p's 9 degrees of
freedom = 0.001453
Criterion is >= 0.000100
----------------------------
----------------------------
I REMIND YOU THAT THE RHO
MUST FALL IN THE
CONFIDENCE INTERVALS (CI)
OF R TO PASS THE TEST!
Test ZIPF (8x8 Real
UNSAMPLED) Fd=(10^b)*d^a --> log10(Fd)=a*log10(d)+b
Slope observed (a) = -9.8286E-01
CRITERION a total number
space = -9.8384E-01
Intersection observed (b) = -3.9615E-01
CRITERION b total number
space = -3.9461E-01
Correlation observed (R)
= -9.9979E-01
RHO of total
population = -9.9988E-01
CI 95% -9.9986E-01 <= R <= -9.9968E-01 *
CI 99% -9.9988E-01 <= R <= -9.9964E-01
p-value difference =
0.0350
CRITERION 95% p >= 0.0500 *
CRITERION 99% p >= 0.0100
----------------------------
Wed Sep 20 00:57:34 2006
Wed Sep 20 01:01:04 2006
----------------------------
RABENZIX VERSION 3.0
COPYRIGHT (c) 2004, 2005, 2006
ALL RIGHTS RESERVED
JOHAN GERARD VAN DER
GALIEN johan.van.der.galien@satoconor.com
----------------------------
Newcomb-Benford and Zipf
randomness tests with 8 bits
exponent and 8 bits
mantissa reals first two digits for QCG1.DAT
-------------8x8
REALS---------------
Total amount 16 bits
blocks (8x8 Reals) read = 6445553
Total amount of Real
numbers between 1.0E-38 and
1.0E+38 = 6357119
Total amount of Reals
tested (no zeroes) = 6357119
----------------------------
Number of samples = 97
Size of one sample
(bytes) = 132898
----------------------------
----------------------------
Test NEWCOMB-BENFORD (8x8
Real SAMPLED) Fd=log10(1+1/d)
First two digits 10 up to
99. So 89 degrees of freedom.
Approximate proportion
95% p's > 0.05 for 97 samples >= 0.8836
Proportion 95% observed = 0.8969
Approximate proportion
99% p's > 0.01 for 97 samples >= 0.9597
Proportion 99%
observed = 0.9588 *
----------------------------
P of the p's 9 degrees of
freedom = 0.003851
Criterion is >= 0.000100
----------------------------
----------------------------
I REMIND YOU THAT THE RHO
MUST FALL IN THE
CONFIDENCE INTERVALS (CI)
OF R TO PASS THE TEST!
Test ZIPF (8x8 Real
UNSAMPLED) Fd=(10^b)*d^a --> log10(Fd)=a*log10(d)+b
Slope observed (a) = -9.8327E-01
CRITERION a total number
space = -9.8384E-01
Intersection observed (b) = -3.9551E-01
CRITERION b total number
space = -3.9461E-01
Correlation observed (R)
= -9.9980E-01
RHO of total
population = -9.9988E-01
CI 95% -9.9987E-01 <= R <= -9.9970E-01 *
CI 99% -9.9989E-01 <= R <= -9.9965E-01
p-value difference =
0.0466
CRITERION 95% p >= 0.0500 *
CRITERION 99% p >= 0.0100
----------------------------
Wed Sep 20 01:03:03 2006
Wed Sep 20 01:06:34 2006
----------------------------
RABENZIX VERSION 3.0
COPYRIGHT (c) 2004, 2005, 2006
ALL RIGHTS RESERVED
JOHAN GERARD VAN DER
GALIEN johan.van.der.galien@satoconor.com
----------------------------
Newcomb-Benford and Zipf
randomness tests with 8 bits
exponent and 8 bits mantissa
reals first two digits for QCG2.DAT
-------------8x8
REALS---------------
Total amount 16 bits
blocks (8x8 Reals) read = 6445553
Total amount of Real
numbers between 1.0E-38 and
1.0E+38 = 6402577
Total amount of Reals
tested (no zeroes) = 6402577
----------------------------
Number of samples = 97
Size of one sample
(bytes) = 132898
----------------------------
----------------------------
Test NEWCOMB-BENFORD (8x8
Real SAMPLED) Fd=log10(1+1/d)
First two digits 10 up to
99. So 89 degrees of freedom.
Approximate proportion
95% p's > 0.05 for 97 samples >= 0.8836
Proportion 95%
observed = 0.0000 *
Approximate proportion
99% p's > 0.01 for 97 samples >= 0.9597
Proportion 99%
observed = 0.0000 *
----------------------------
P of the p's 9 degrees of
freedom = 0.000000 *
Criterion is >= 0.000100
----------------------------
----------------------------
I REMIND YOU THAT THE RHO
MUST FALL IN THE
CONFIDENCE INTERVALS (CI)
OF R TO PASS THE TEST!
Test ZIPF (8x8 Real
UNSAMPLED) Fd=(10^b)*d^a --> log10(Fd)=a*log10(d)+b
Slope observed (a) = -1.0964E+00
CRITERION a total number
space = -9.8384E-01
Intersection observed (b) = -2.7745E-01
CRITERION b total number space
= -3.9461E-01
Correlation observed (R)
= -5.4365E-01
RHO of total
population = -9.9988E-01
CI 95% -6.7477E-01 <= R <= -3.7925E-01 *
CI 99% -7.0916E-01 <= R <= -3.2134E-01 *
p-value difference =
0.0000
CRITERION 95% p >= 0.0500 *
CRITERION 99% p >= 0.0100 *
----------------------------
Wed Sep 20 01:10:45 2006
Wed Sep 20 01:14:14 2006
----------------------------
RABENZIX VERSION 3.0
COPYRIGHT (c) 2004, 2005, 2006
ALL RIGHTS RESERVED
JOHAN GERARD VAN DER
GALIEN johan.van.der.galien@satoconor.com
----------------------------
Newcomb-Benford and Zipf
randomness tests with 8 bits
exponent and 8 bits
mantissa reals first two digits for BBS.DAT
-------------8x8
REALS---------------
Total amount 16 bits
blocks (8x8 Reals) read = 6445553
Total amount of Real numbers
between 1.0E-38 and
1.0E+38 = 6356022
Total amount of Reals
tested (no zeroes) = 6356022
----------------------------
Number of samples = 97
Size of one sample
(bytes) = 132898
----------------------------
----------------------------
Test NEWCOMB-BENFORD (8x8
Real SAMPLED) Fd=log10(1+1/d)
First two digits 10 up to
99. So 89 degrees of freedom.
Approximate proportion
95% p's > 0.05 for 97 samples >= 0.8836
Proportion 95%
observed = 0.8763 *
Approximate proportion
99% p's > 0.01 for 97 samples >= 0.9597
Proportion 99%
observed = 0.9897
----------------------------
P of the p's 9 degrees of
freedom = 0.000001 *
Criterion is >= 0.000100
----------------------------
----------------------------
I REMIND YOU THAT THE RHO
MUST FALL IN THE
CONFIDENCE INTERVALS (CI)
OF R TO PASS THE TEST!
Test ZIPF (8x8 Real
UNSAMPLED) Fd=(10^b)*d^a --> log10(Fd)=a*log10(d)+b
Slope observed (a) = -9.8382E-01
CRITERION a total number
space = -9.8384E-01
Intersection observed (b) = -3.9460E-01
CRITERION b total number
space = -3.9461E-01
Correlation observed (R)
= -9.9980E-01
RHO of total
population = -9.9988E-01
CI 95% -9.9987E-01 <= R <= -9.9969E-01 *
CI 99% -9.9988E-01 <= R <= -9.9965E-01
p-value difference =
0.0446
CRITERION 95% p >= 0.0500 *
CRITERION 99% p >= 0.0100
----------------------------
Wed Sep 20 01:17:46 2006
Wed Sep 20 01:21:16 2006
----------------------------
RABENZIX VERSION 3.0
COPYRIGHT (c) 2004, 2005, 2006
ALL RIGHTS RESERVED
JOHAN GERARD VAN DER
GALIEN johan.van.der.galien@satoconor.com
----------------------------
Newcomb-Benford and Zipf
randomness tests with 8 bits
exponent and 8 bits
mantissa reals first two digits for CCG.DAT
-------------8x8
REALS---------------
Total amount 16 bits
blocks (8x8 Reals) read = 6445553
Total amount of Real
numbers between 1.0E-38 and
1.0E+38 = 6356988
Total amount of Reals
tested (no zeroes) = 6356988
----------------------------
Number of samples = 97
Size of one sample
(bytes) = 132898
----------------------------
----------------------------
Test NEWCOMB-BENFORD (8x8
Real SAMPLED) Fd=log10(1+1/d)
First two digits 10 up to
99. So 89 degrees of freedom.
Approximate proportion
95% p's > 0.05 for 97 samples >= 0.8836
Proportion 95% observed =
0.8041 *
Approximate proportion
99% p's > 0.01 for 97 samples >= 0.9597
Proportion 99%
observed = 0.9381 *
----------------------------
P of the p's 9 degrees of
freedom = 0.000000 *
Criterion is >= 0.000100
----------------------------
----------------------------
I REMIND YOU THAT THE RHO
MUST FALL IN THE
CONFIDENCE INTERVALS (CI)
OF R TO PASS THE TEST!
Test ZIPF (8x8 Real
UNSAMPLED) Fd=(10^b)*d^a --> log10(Fd)=a*log10(d)+b
Slope observed (a) = -9.8311E-01
CRITERION a total number
space = -9.8384E-01
Intersection observed (b) = -3.9576E-01
CRITERION b total number
space = -3.9461E-01
Correlation observed (R)
= -9.9974E-01
RHO of total
population = -9.9988E-01
CI 95% -9.9983E-01 <= R <= -9.9960E-01 *
CI 99% -9.9985E-01 <= R <= -9.9955E-01 *
p-value difference =
0.0053
CRITERION 95% p >= 0.0500 *
CRITERION 99% p >= 0.0100 *
----------------------------
Wed Sep 20 01:22:56 2006
Wed Sep 20 01:26:25 2006
----------------------------
RABENZIX VERSION 3.0
COPYRIGHT (c) 2004, 2005, 2006
ALL RIGHTS RESERVED
JOHAN GERARD VAN DER
GALIEN johan.van.der.galien@satoconor.com
----------------------------
Newcomb-Benford and Zipf
randomness tests with 8 bits
exponent and 8 bits
mantissa reals first two digits for MODEXP.DAT
-------------8x8
REALS---------------
Total amount 16 bits
blocks (8x8 Reals) read = 6445553
Total amount of Real
numbers between 1.0E-38 and
1.0E+38 = 6356217
Total amount of Reals
tested (no zeroes) = 6356217
----------------------------
Number of samples = 97
Size of one sample
(bytes) = 132898
----------------------------
----------------------------
Test NEWCOMB-BENFORD (8x8
Real SAMPLED) Fd=log10(1+1/d)
First two digits 10 up to
99. So 89 degrees of freedom.
Approximate proportion
95% p's > 0.05 for 97 samples >= 0.8836
Proportion 95%
observed = 0.9278
Approximate proportion
99% p's > 0.01 for 97 samples >= 0.9597
Proportion 99%
observed = 0.9794
----------------------------
P of the p's 9 degrees of
freedom = 0.004802
Criterion is >= 0.000100
----------------------------
----------------------------
I REMIND YOU THAT THE RHO
MUST FALL IN THE
CONFIDENCE INTERVALS (CI)
OF R TO PASS THE TEST!
Test ZIPF (8x8 Real
UNSAMPLED) Fd=(10^b)*d^a --> log10(Fd)=a*log10(d)+b
Slope observed (a) = -9.8454E-01
CRITERION a total number
space = -9.8384E-01
Intersection observed (b) = -3.9356E-01
CRITERION b total number
space = -3.9461E-01
Correlation observed (R)
= -9.9980E-01
RHO of total
population = -9.9988E-01
CI 95% -9.9987E-01 <= R <= -9.9969E-01 *
CI 99% -9.9988E-01 <= R <= -9.9965E-01
p-value difference =
0.0399
CRITERION 95% p >= 0.0500 *
CRITERION 99% p >= 0.0100
----------------------------
Wed Sep 20 20:03:03 2006
Wed Sep 20 20:06:13 2006
----------------------------
RABENZIX VERSION 3.0
COPYRIGHT (c) 2004, 2005, 2006
ALL RIGHTS RESERVED
JOHAN GERARD VAN DER
GALIEN johan.van.der.galien@satoconor.com
----------------------------
Newcomb-Benford and Zipf
randomness tests with 8 bits
exponent and 8 bits
mantissa reals first two digits for TWISTER.DAT
-------------8x8
REALS---------------
Total amount 16 bits blocks
(8x8 Reals) read = 5767143
Total amount of Real
numbers between 1.0E-38 and
1.0E+38 = 5687618
Total amount of Reals
tested (no zeroes) = 5687618
----------------------------
Number of samples = 87
Size of one sample
(bytes) = 132578
----------------------------
----------------------------
Test NEWCOMB-BENFORD (8x8
Real SAMPLED) Fd=log10(1+1/d)
First two digits 10 up to
99. So 89 degrees of freedom.
Approximate proportion
95% p's > 0.05 for 87 samples >= 0.8799
Proportion 95%
observed = 0.8736 *
Approximate proportion
99% p's > 0.01 for 87 samples >= 0.9580 *
Proportion 99%
observed = 0.9540
----------------------------
P of the p's 9 degrees of
freedom = 0.010817
Criterion is >= 0.000100
----------------------------
----------------------------
I REMIND YOU THAT THE RHO
MUST FALL IN THE
CONFIDENCE INTERVALS (CI)
OF R TO PASS THE TEST!
Test ZIPF (8x8 Real
UNSAMPLED) Fd=(10^b)*d^a --> log10(Fd)=a*log10(d)+b
Slope observed (a) = -9.8326E-01
CRITERION a total number
space = -9.8384E-01
Intersection observed (b) = -3.9555E-01
CRITERION b total number
space = -3.9461E-01
Correlation observed (R)
= -9.9984E-01
RHO of total
population = -9.9988E-01
CI 95% -9.9990E-01 <= R <= -9.9976E-01
CI 99% -9.9991E-01 <= R <= -9.9973E-01
p-value difference =
0.1991
CRITERION 95% p >= 0.0500
CRITERION 99% p >= 0.0100
----------------------------
Thu Sep 21 18:36:42 2006
Thu Sep 21 18:38:28 2006
----------------------------
RABENZIX VERSION 3.0 COPYRIGHT (c) 2004, 2005, 2006
ALL RIGHTS RESERVED
JOHAN GERARD VAN DER GALIEN johan.van.der.galien@satoconor.com
----------------------------
Newcomb-Benford and Zipf randomness tests with 8
bits
exponent and 8 bits mantissa reals first two digits
for FRAG1.DAT
-------------8x8 REALS---------------
Total amount 16 bits blocks (8x8 Reals) read =
3277050
Total amount of Real numbers between 1.0E-38 and
1.0E+38 = 3231404
Total amount of Reals tested (no zeroes) = 3231404
----------------------------
Number of samples
= 50
Size of one sample (bytes) = 131082
----------------------------
----------------------------
Test NEWCOMB-BENFORD (8x8 Real SAMPLED)
Fd=log10(1+1/d)
First two digits 10 up to 99. So 89 degrees of
freedom.
Approximate proportion 95% p's > 0.05 for 50
samples >= 0.8575
Proportion 95%
observed = 0.9400
Approximate proportion 99% p's > 0.01 for 50
samples >= 0.9478
Proportion 99%
observed = 1.0000
----------------------------
P of the p's 9 degrees of freedom = 0.030806
Criterion is >= 0.000100
----------------------------
----------------------------
I REMIND YOU THAT THE RHO MUST FALL IN THE
CONFIDENCE INTERVALS (CI) OF R TO PASS THE TEST!
Test ZIPF (8x8 Real UNSAMPLED) Fd=(10^b)*d^a -->
log10(Fd)=a*log10(d)+b
Slope observed (a) = -9.8420E-01
CRITERION a total number space = -9.8384E-01
Intersection observed (b) = -3.9406E-01
CRITERION b total number space = -3.9461E-01
Correlation observed (R) = -9.9983E-01
RHO of total population = -9.9988E-01
CI 95% -9.9989E-01 <=
R <= -9.9974E-01
CI 99% -9.9990E-01 <=
R <= -9.9970E-01
p-value difference = 0.1183
CRITERION
95% p >= 0.0500
CRITERION
99% p >= 0.0100
----------------------------
Thu Sep 21 18:43:03 2006
Thu Sep 21 18:46:28 2006
----------------------------
RABENZIX VERSION 3.0 COPYRIGHT (c) 2004, 2005, 2006
ALL RIGHTS RESERVED
JOHAN GERARD VAN DER GALIEN johan.van.der.galien@satoconor.com
----------------------------
Newcomb-Benford and Zipf randomness tests with 8
bits
exponent and 8 bits mantissa reals first two digits
for FRAG2.DAT
-------------8x8 REALS---------------
Total amount 16 bits blocks (8x8 Reals) read =
6291840
Total amount of Real numbers between 1.0E-38 and
1.0E+38 = 6204268
Total amount of Reals tested (no zeroes) = 6204268
----------------------------
Number of samples
= 96
Size of one sample (bytes) = 131080
----------------------------
----------------------------
Test NEWCOMB-BENFORD (8x8 Real SAMPLED)
Fd=log10(1+1/d)
First two digits 10 up to 99. So 89 degrees of
freedom.
Approximate proportion 95% p's > 0.05 for 96
samples >= 0.8833
Proportion 95%
observed = 0.9271
Approximate proportion 99% p's > 0.01 for 96
samples >= 0.9595
Proportion 99%
observed = 1.0000
----------------------------
P of the p's 9 degrees of freedom = 0.016717
Criterion is >= 0.000100
----------------------------
----------------------------
I REMIND YOU THAT THE RHO MUST FALL IN THE
CONFIDENCE INTERVALS (CI) OF R TO PASS THE TEST!
Test ZIPF (8x8 Real UNSAMPLED) Fd=(10^b)*d^a -->
log10(Fd)=a*log10(d)+b
Slope observed (a) = -9.8400E-01
CRITERION a total number space = -9.8384E-01
Intersection observed (b) = -3.9439E-01
CRITERION b total number space = -3.9461E-01
Correlation observed (R) = -9.9986E-01
CI 95% -9.9991E-01 <=
R <= -9.9979E-01
CI 99% -9.9992E-01 <= R
<= -9.9976E-01
p-value difference = 0.3078
CRITERION
95% p >= 0.0500
CRITERION
99% p >= 0.0100
----------------------------
Thu Sep 21 18:54:35 2006
Thu Sep 21 19:30:09 2006
----------------------------
RABENZIX VERSION 3.0 COPYRIGHT (c) 2004, 2005, 2006
ALL RIGHTS RESERVED
JOHAN GERARD VAN DER GALIEN johan.van.der.galien@satoconor.com
----------------------------
Newcomb-Benford and Zipf randomness tests with 8
bits
exponent and 8 bits mantissa reals first two digits
for FRAG3.DAT
-------------8x8 REALS---------------
Total amount 16 bits blocks (8x8 Reals) read =
65536000
Total amount of Real numbers between 1.0E-38 and
1.0E+38 = 64629140
Total amount of Reals tested (no zeroes) = 64629140
----------------------------
Number of samples
= 1000
Size of one sample (bytes) = 131072
----------------------------
----------------------------
Test NEWCOMB-BENFORD (8x8 Real SAMPLED)
Fd=log10(1+1/d)
First two digits 10 up to 99. So 89 degrees of
freedom.
Approximate proportion 95% p's > 0.05 for 1000
samples >= 0.9293
Proportion 95%
observed = 0.9000 *
Approximate proportion 99% p's > 0.01 for 1000
samples >= 0.9806
Proportion 99%
observed = 0.9700 *
----------------------------
P of the p's 9 degrees of freedom = 0.000000 *
Criterion is >= 0.000100
----------------------------
----------------------------
I REMIND YOU THAT THE
CONFIDENCE INTERVALS (CI) OF R TO PASS THE TEST!
Test ZIPF (8x8 Real UNSAMPLED) Fd=(10^b)*d^a -->
log10(Fd)=a*log10(d)+b
Slope observed (a) = -9.8440E-01
CRITERION a total number space = -9.8384E-01
Intersection observed (b) = -3.9378E-01
CRITERION b total number space = -3.9461E-01
Correlation observed (R) = -9.9987E-01
CI 95% -9.9992E-01 <=
R <= -9.9981E-01
CI 99% -9.9993E-01 <=
R <= -9.9978E-01
p-value difference = 0.4345
CRITERION
95% p >= 0.0500
CRITERION
99% p >= 0.0100
----------------------------
Thu Sep 21 18:29:38 2006
Thu Sep 21 18:32:38 2006
----------------------------
RABENZIX VERSION 3.0 COPYRIGHT (c) 2004, 2005, 2006
ALL RIGHTS RESERVED
JOHAN GERARD VAN DER GALIEN johan.van.der.galien@satoconor.com
----------------------------
Newcomb-Benford and Zipf randomness tests with 8
bits
exponent and 8 bits mantissa reals first two digits
for QREG.DAT
-------------8x8 REALS---------------
Total amount 16 bits blocks (8x8 Reals) read =
5500000
Total amount of Real numbers between 1.0E-38 and
1.0E+38 = 5424496
Total amount of Reals tested (no zeroes) = 5424496
----------------------------
Number of samples
= 80
Size of one sample (bytes) = 137500
----------------------------
----------------------------
Test NEWCOMB-BENFORD (8x8 Real SAMPLED)
Fd=log10(1+1/d)
First two digits 10 up to 99. So 89 degrees of
freedom.
Approximate proportion 95% p's > 0.05 for 80
samples >= 0.8769
Proportion 95%
observed = 0.8625 *
Approximate proportion 99% p's > 0.01 for 80
samples >= 0.9566
Proportion 99%
observed = 0.9250 *
----------------------------
P of the p's 9 degrees of freedom = 0.002971
Criterion is >= 0.000100
----------------------------
----------------------------
I REMIND YOU THAT THE
CONFIDENCE INTERVALS (CI) OF R TO PASS THE TEST!
Test ZIPF (8x8 Real UNSAMPLED) Fd=(10^b)*d^a -->
log10(Fd)=a*log10(d)+b
Slope observed (a) = -9.8343E-01
CRITERION a total number space = -9.8384E-01
Intersection observed (b) = -3.9524E-01
CRITERION b total number space = -3.9461E-01
Correlation observed (R) = -9.9985E-01
CI 95% -9.9990E-01 <=
R <= -9.9977E-01
CI 99% -9.9991E-01 <=
R <= -9.9974E-01
p-value difference = 0.2410
CRITERION
95% >= 0.0500
CRITERION
99% >= 0.0100
----------------------------
Appendix B
NIST test suite
FinalAnalysisReport logs from the eleven tested PRNG’s
PI.DAT
------------------------------------------------------------------------------
RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE
PROPORTION OF PASSING SEQUENCES
------------------------------------------------------------------------------
------------------------------------------------------------------------------
C1 C2
C3 C4 C5
C6 C7 C8 C9
C10 P-VALUE PROPORTION
STATISTICAL TEST
------------------------------------------------------------------------------
10 8
7 12 10 7 10
14 8 6
0.717488 0.9891 frequency
8 10
12 9 10 9 8 11 10
5 0.925420 0.9891
block-frequency
9 8
7 9 13 6 11
6 13 10
0.671779 1.0000 cumulative-sums
8 6
8 9 17 8 9
9 9 9
0.490050 0.9891 cumulative-sums
9 10
6 13 13 6 12
5 11 7
0.407091 1.0000
runs
10 11
4 15 10 11 6
7 11 7
0.332797 0.9891 longest-run
9 8
12 13 12 10 7
10 6 5
0.602458 0.9891 rank
12 9
6 5 16 16 10
5 5 8
0.030354 0.9891 fft
11 14
13 7 7 8 9
7 13 3
0.201069 0.9674 nonperiodic-templates
13 10
8 9 9 12 9
12 4 6
0.556687 0.9783 nonperiodic-templates
10 18
9 9 10 9 4
7 8 8
0.178278 0.9891 nonperiodic-templates
12 5
9 16 5 14 7
10 9 5 0.087929
0.9783 nonperiodic-templates
8 9
11 8 10 6 13
9 10 8
0.925420 0.9891 nonperiodic-templates
11 10
11 9 7 7 10
4 10 13
0.671779 0.9783 nonperiodic-templates
8 4
8 9 12 9 10
7 13 12 0.602458 1.0000
nonperiodic-templates
9 3
7 12 11 14 10
10 6 10
0.350485 0.9891 nonperiodic-templates
17 8
5 9 7 6 12
11 6 11
0.148094 0.9674 nonperiodic-templates
5 13
5 7 11 9 18
9 8 7
0.071670 1.0000 nonperiodic-templates
10 9
5 6 14 7 12
5 10 14
0.226129 1.0000 nonperiodic-templates
9 10
9 9 9 6 7
10 13 10
0.938161 1.0000 nonperiodic-templates
5 13
10 10 11 10 9
5 10 9
0.717488 0.9891 nonperiodic-templates
5 8
16 5 11 12 9
11 13 2
0.032681 1.0000 nonperiodic-templates
16 7
10 5 17 6 5
4 16 6
0.001459 0.9891 nonperiodic-templates
13 10
4 7 17 6 7
7 11 10
0.100508 0.9674 nonperiodic-templates
8 14
4 11 14 7 12
12 6 4
0.087929 0.9783 nonperiodic-templates
9 15
13 13 8 7 10
9 5 3
0.122325 1.0000 nonperiodic-templates
9 8
7 10 12 6 6
10 11 13
0.739918 1.0000 nonperiodic-templates
2 13
10 14 6 5 6
11 14 11
0.040694 0.9891 nonperiodic-templates
9 13
6 13 8 7 11
9 6 10
0.671779 0.9783 nonperiodic-templates
14 6
7 10 4 7 9
15 9 11
0.213309 0.9783 nonperiodic-templates
13 6
5 8 11 9 15
9 4 12
0.167699 0.9674 nonperiodic-templates
13 8
9 8 8 10 11
7 10 8
0.949602 0.9891 nonperiodic-templates
10 8
9 9 11 5 7
12 14 7
0.625552 1.0000 nonperiodic-templates
13 14
10 9 7 7 12
8 6 6
0.468595 0.9565 * nonperiodic-templates
12 4
5 10 6 11 10
11 9 14
0.315717 1.0000 nonperiodic-templates
14 13
9 10 9 5 10
6 7 9
0.534146 0.9674 nonperiodic-templates
14 7
8 15 9 10 8
9 5 7
0.368773 0.9891 nonperiodic-templates
13 6
5 11 13 10 11
8 5 10
0.407091 0.9891 nonperiodic-templates
6 14
7 12 12 6 7
13 7 8
0.350485 0.9891 nonperiodic-templates
9 10
8 12 8 16 8
7 10 4
0.332797 0.9891 nonperiodic-templates
9 7
11 11 8 10 14
8 7 7
0.804337 1.0000 nonperiodic-templates
9 15
12 8 8 8 8
10 9 5
0.602458 1.0000 nonperiodic-templates
6 10
2 15 17 9 8
12 9 4
0.010399 0.9891 nonperiodic-templates
8 8
9 9 11 8 9
13 10 7
0.959726 0.9783 nonperiodic-templates
7 8
7 10 5 14 8
10 11 12
0.602458 1.0000 nonperiodic-templates
9 8
6 9 10 7 12
10 11 10
0.949602 0.9891 nonperiodic-templates
6 13
12 7 9 5 14
6 11 9
0.332797 0.9891 nonperiodic-templates
7 4
9 9 10 14 8
9 7 15
0.299251 0.9891 nonperiodic-templates
6 4
8 12 8 14 12
9 5 14
0.148094 1.0000 nonperiodic-templates
9 8
7 7 8 11 6
10 14 12
0.694743 0.9891 nonperiodic-templates
5 7
6 10 13 9 8
12 11 11
0.625552 0.9783 nonperiodic-templates
8 8
11 9 6
12 14 10
8 6 0.671779
1.0000 nonperiodic-templates
6 10
13 7 8 17 12
4 8 7
0.094034 0.9891 nonperiodic-templates
9 7
11 12 6 7 6
9 9 16
0.368773 0.9891 nonperiodic-templates
10 10
11 7 7
4 10 14
12 7 0.468595
1.0000 nonperiodic-templates
12 10
11 15 5 6 8
7 12 6
0.283402 0.9891 nonperiodic-templates
15 9
5 8 9 9 8
8 14 7
0.407091 0.9565 * nonperiodic-templates
8 9 9 11
7 5 7
9 16 11
0.427082 1.0000 nonperiodic-templates
5 11
16 8 8 5 8
14 5 12
0.082177 0.9891 nonperiodic-templates
9 10
13 5 9 8 16
7 9 6
0.299251 1.0000 nonperiodic-templates
5 12
8 7 7
12 5 11
12 13 0.368773
1.0000 nonperiodic-templates
12 8
9 9 12 11 9
14 4 4
0.283402 0.9891 nonperiodic-templates
13 12
9 12 8 7 2
9 9 11
0.332797 0.9565 * nonperiodic-templates
12 6
8 9 9
11 13 4
16 4 0.082177
0.9891 nonperiodic-templates
7 7
15 9 13 12 11
7 3 8
0.178278 0.9891 nonperiodic-templates
8 8
12 12 8 11 8
9 7 9
0.949602 0.9783 nonperiodic-templates
6 5
9 13 13 3 9
20 8 6
0.003097 1.0000 nonperiodic-templates
8 9
13 2 5 11 10
10 12 12
0.226129 0.9891 nonperiodic-templates
6 9
11 14 10 4 13
10 8 7
0.387648 1.0000 nonperiodic-templates
10 5
10 6 7 14 12
6 13 9
0.350485 1.0000 nonperiodic-templates
6 8
12 6 7 6 11
7 18 11
0.094034 1.0000 nonperiodic-templates
9 6
7 13 6 11 4
13 14 9
0.213309 1.0000 nonperiodic-templates
14 13
13 10 7 6 4 10 3
12 0.071670 0.9783
nonperiodic-templates
12 10
11 11 11 9 6
6 8 8
0.862344 0.9891 nonperiodic-templates
7 12
7 9 7 7 10
10 14 9
0.761937 0.9891 nonperiodic-templates
8 9
12 8 10 5 9
9 13 9
0.843884 0.9783 nonperiodic-templates
10 9
8 7 8 11 15
10 7 7
0.717488 0.9674 nonperiodic-templates
9 15
10 8 10 8 11
5 7 9
0.625552 1.0000 nonperiodic-templates
9 6
10 5 10 12 7
14 9 10
0.602458 0.9783 nonperiodic-templates
7 11
6 8 9 12 8
11 11 9
0.911413 1.0000 nonperiodic-templates
11 13
6 13 6 10 11
9 7 6
0.534146 0.9783 nonperiodic-templates
8 13
7 5 8 9 10
7 16 9 0.332797 0.9783
nonperiodic-templates
11 14
13 7 7 8 9
7 14 2
0.100508 0.9674 nonperiodic-templates
8 5
17 7 9 4 8
11 13 10
0.100508 0.9891 nonperiodic-templates
6 6
20 9 9 11 5
6 9 11
0.024265 0.9891 nonperiodic-templates
13 12
8 7 13 10 7
7 6 9
0.625552 0.9891 nonperiodic-templates
6 9
9 10 14 4 13
7 6 14
0.178278 1.0000 nonperiodic-templates
5 8
10 6 13 11 13
9 10 7
0.579479 1.0000 nonperiodic-templates
7 6
13 8 11 9 10
7 11 10
0.843884 0.9891 nonperiodic-templates
10 7
9 10 10 9 8
7 13 9
0.959726 1.0000 nonperiodic-templates
7 9
10 7 11 8 16
10 6 8
0.511916 1.0000 nonperiodic-templates
5 9
11 11 9 12 11
8 8 8
0.879806 0.9783 nonperiodic-templates
4 11
10 10 9 9 5
12 12 10
0.602458 1.0000 nonperiodic-templates
8 5
14 7 7 11 10
8 11 11
0.625552 1.0000 nonperiodic-templates
12 6
9 3 12 9 9
12 8 12
0.427082 0.9783 nonperiodic-templates
9 10
7 14 8 7 11
5 9 12
0.625552 1.0000 nonperiodic-templates
5 7
8 10 9 11 8
16 11 7
0.407091 1.0000 nonperiodic-templates
8 10
9 10 8 10 12
6 12 7
0.911413 0.9891 nonperiodic-templates
10 8
14 7 9 5 9
9 10 11
0.761937 0.9783 nonperiodic-templates
10 7
10 15 8 4 8
7 11 12
0.387648 1.0000 nonperiodic-templates
17 13
5 8 5 7 11
9 8 9
0.139036 1.0000 nonperiodic-templates
9 3
8 7 15 14 7
8 11 10
0.189397 0.9891 nonperiodic-templates
4 9
8 12 7 10 11
11 8 12
0.694743 1.0000 nonperiodic-templates
11 11
14 7 3 10 4
12 13 7
0.114637 0.9891 nonperiodic-templates
11 8
9 14 11 8 5
11 6 9
0.625552 0.9348 * nonperiodic-templates
12 9
8 10 14 11 8
6 3 11
0.350485 1.0000 nonperiodic-templates
9 13
6 11 14 11 7
9 6 6
0.447593 0.9674 nonperiodic-templates
5 10
10 13 8 12 6
11 5 12
0.427082 0.9891 nonperiodic-templates
14 7
9 9 13 6 6
12 8 8
0.511916 0.9891 nonperiodic-templates
5 7
12 13 7 5 10
10 14 9
0.332797 1.0000 nonperiodic-templates
10 5
9 14 7 6 10
10 10 11
0.648687 0.9891 nonperiodic-templates
13 6
10 7 11 6 9
18 6 6
0.071670 0.9891 nonperiodic-templates
10 11
14 10 6 10 8
11 6 6
0.625552 1.0000 nonperiodic-templates
10 13
8 7 5 10 15
10 7 7
0.407091 0.9891 nonperiodic-templates
11 10
11 7 14 11 9
6 9 4
0.490050 1.0000 nonperiodic-templates
7 11
11 14 5 9 10
5 10 10
0.534146 1.0000 nonperiodic-templates
8 8
13 10 7 12 6
7 11 10
0.783443 1.0000 nonperiodic-templates
6 8
12 8 18 5 10
8 9 8
0.148094 1.0000 nonperiodic-templates
14 5
8 7 8
14 8 5
10 13 0.226129
0.9891 nonperiodic-templates
8 10
10 10 10 7 12
8 12 5
0.843884 1.0000 nonperiodic-templates
9 9
10 9 7 6 12
11 10 9
0.959726 0.9783 nonperiodic-templates
10 10 11
9 8 8
8 7 11
10 0.991468 0.9891
nonperiodic-templates
9 14
7 11 12 6 4
5 11 13
0.189397 1.0000 nonperiodic-templates
10 9
10 12 7 7 8
9 10 10
0.982340 0.9783 nonperiodic-templates
5 11 11 9
9 10 9
8 12 8
0.911413 1.0000 nonperiodic-templates
9 7
8 8 7 10 9
15 10 9
0.804337 0.9891 nonperiodic-templates
11 6
12 13 4 10 7
7 16 6
0.107371 1.0000 nonperiodic-templates
13 12
9 10 12
8 6 4
10 8 0.534146
0.9565 * nonperiodic-templates
9 11
9 10 8 10 6
9 7 13
0.911413 1.0000 nonperiodic-templates
15 11
5 3 11 5 9
5 19 9
0.002624 1.0000 nonperiodic-templates
11 14
6 6 5 8
10 13 7
12 0.315717 0.9891
nonperiodic-templates
8 10
7 9 10 10 9
10 9 10
0.999136 0.9783 nonperiodic-templates
11 11
4 10 8 12 9
12 6 9
0.648687 0.9891 nonperiodic-templates
11 13
12 9 6 12 9
6 8 6
0.602458 1.0000 nonperiodic-templates
6 11
10 11 8 8 8
6 15 9
0.602458 1.0000 nonperiodic-templates
16 8
7 11 6 8 8
10 5 13
0.253551 0.9674 nonperiodic-templates
6 12
6 6 12 9 11 9
15 6 0.315717
0.9891 nonperiodic-templates
7 9
13 11 8 6 12
10 5 11
0.625552 0.9891 nonperiodic-templates
10 11
8 14 8 11 7
7 9 7
0.804337 0.9783 nonperiodic-templates
8 10
10 8 9 10 10 11 5
11 0.949602 0.9891
nonperiodic-templates
11 15
12 7 9 9 8
5 4 12
0.239540 1.0000 nonperiodic-templates
10 7
7 12 7 9 6
12 8 14
0.602458 0.9891 nonperiodic-templates
11 11
13 9 10 7 12
4 8 7
0.579479 0.9783 nonperiodic-templates
15 9
5 10 7 11 9
11 8 7
0.556687 0.9891 nonperiodic-templates
7 10
14 11 17 7 8
3 6 9
0.058161 1.0000 nonperiodic-templates
11 5
5 10 13 8 9
11 9 11 0.648687
0.9891 nonperiodic-templates
7 6
13 7 11 12 7
12 9 8
0.671779 1.0000 nonperiodic-templates
7 6
12 8 9 12 7
9 14 8
0.648687 1.0000 nonperiodic-templates
13 10
7 10 11 9 10
7 7 8 0.911413 0.9891
nonperiodic-templates
12 10
7 10 10 7 4
14 8 10
0.534146 1.0000 nonperiodic-templates
10 9
9 13 11 5 12
4 10 9
0.534146 0.9891 nonperiodic-templates
7 7
13 13 6 11 10
6 8 11
0.579479 0.9783 nonperiodic-templates
10 9
6 11 6 7 12
18 5 8
0.094034 1.0000 nonperiodic-templates
8 10
8 7 11 12 10
10 7 9
0.968538 0.9783 nonperiodic-templates
8 10
11 7 6 11 9
6 13 11
0.761937 1.0000 nonperiodic-templates
8 13
7 5 8 10 9
7 16 9
0.332797 0.9783 nonperiodic-templates
9 7
9 13 9 8 8
8 11 10
0.959726 0.9891 overlapping-templates
16 8
9 4 13 9 9
7 10 7
0.268170 0.9891 universal
7 8
6 16 8 12 8
11 6 10
0.368773 1.0000 apen
4 4
3 6 4 9 9
4 3 11
0.062821 1.0000 random-excursions
5 7
5 3 3 6 5
9 8 6
0.554420 1.0000 random-excursions
4 6 7 4
5 5 8
7 6 5
0.897763 0.9825 random-excursions
5 8
6 5 6 2 5
5 8 7
0.678686 1.0000 random-excursions
2 7
7 7 5 11 6
2 2 8
0.048716 1.0000 random-excursions
4 4
10 4 3 5 5
5 7 10
0.202268 1.0000 random-excursions
6 3
7 9 3 5 6
4 4 10
0.249284 0.9825 random-excursions
6 4
4 6 4 9 4
4 8 8
0.514124 0.9649 random-excursions
4 2
10 2 4 9 9
4 4 9 0.025193 1.0000
random-excursions-variant
4 2
2 8 10 6 4
8 8 5
0.102526 1.0000 random-excursions-variant
2 4
6 7 5 10 2
8 7 6
0.181557 1.0000 random-excursions-variant
4 4
5 4 7 11 2
9 3 8
0.062821 1.0000 random-excursions-variant
4 5
8 2 8 6 4
7 7 6
0.554420 1.0000 random-excursions-variant
6 5
4 5 4 4 7
10 4 8
0.474986 0.9825 random-excursions-variant
5 6
3 4 5 5 7
6 9 7
0.719747 1.0000 random-excursions-variant
4 5
7 2 7 10 4
5 6 7
0.366918 0.9825 random-excursions-variant
5 3
5 6 6 8 11
3 8 2
0.102526 0.9825 random-excursions-variant
3 2
8 6 9
9 2 8
4 6 0.090936
1.0000
random-excursions-variant
1 5
6 10 4 6 9
8 5 3
0.102526 1.0000 random-excursions-variant
1 3
6 6 6 8 8
5 6 8
0.334538 1.0000 random-excursions-variant
1 5 5 3
5 5 13
4 10 6
0.008266 1.0000 random-excursions-variant
3 4
5 2 12 5 8
7 5 6
0.080519 1.0000 random-excursions-variant
3 6
5 4 7 6 8
4 7 7
0.759756 1.0000 random-excursions-variant
5 7
3 3 6
6 8 5
7 7 0.719747
1.0000
random-excursions-variant
5 5
10 4 6 3 0
6 8 10
0.032923 1.0000 random-excursions-variant
3 11
6 5 5 4 3
3 7 10
0.071177 1.0000 random-excursions-variant
10 13
8 13 9 3 9
12 6 9
0.368773 0.9891 serial
11 14
6 11 11 7 8
6 12 6
0.468595 1.0000 serial
11 5
8 12 9 8 12
7 8 12
0.739918 0.9891 linear-complexity
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
The minimum pass rate for each statistical test
with the exception of the random
excursion (variant) test is approximately =
0.958880 for a sample size = 92
binary sequences.
The minimum pass rate for the random excursion
(variant) test is approximately
0.950463 for a sample size = 57 binary sequences.
For further guidelines construct a probability
table using the MAPLE program
provided in the addendum section of the
documentation.
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
PI.DAT SECOND RUN NON OVERLAPPING TEMPLATES M = 10
------------------------------------------------------------------------------
RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE PROPORTION
OF PASSING SEQUENCES
------------------------------------------------------------------------------
------------------------------------------------------------------------------
C1 C2
C3 C4 C5 C6 C7
C8 C9 C10 P-VALUE
PROPORTION STATISTICAL TEST
------------------------------------------------------------------------------
17 11
8 5 4 11 11
12 7 6
0.076763 0.9674 nonperiodic-templates
12 12
10 8 9 11 7
8 7 8
0.925420 0.9783 nonperiodic-templates
15 8
6 13 7 8 10
9 7 9
0.534146 0.9783 nonperiodic-templates
9 14
9 11 16 7 8
8 7 3
0.130453 1.0000 nonperiodic-templates
13 6
14 9 8 8 9
10 8 7
0.694743 0.9783 nonperiodic-templates
10 7
14 10 6 10 6
10 10 9
0.761937 0.9891 nonperiodic-templates
11 10
8 3 8 6 11
10 15 10
0.315717 0.9891 nonperiodic-templates
13 11
11 9 4 2 6
10 12 14
0.071670 0.9783 nonperiodic-templates
10 15
13 4 6
10 5 8
11 10 0.201069
0.9674 nonperiodic-templates
9 11
9 16 7 4 4
13 6 13
0.058161 0.9891 nonperiodic-templates
6 6
11 6 13 14 6
11 10 9
0.387648 1.0000 nonperiodic-templates
9 10
9 12 8
12 8 5
7 12 0.783443
1.0000 nonperiodic-templates
13 8
12 5 8 6 9
7 13 11
0.490050 0.9783 nonperiodic-templates
3 11
14 7 6 7 10
10 13 11
0.239540 0.9891 nonperiodic-templates
10 10 8 8
10 6 7
10 9 14
0.843884 0.9891 nonperiodic-templates
7 10
10 9 11 5 11
9 11 9
0.925420 0.9891 nonperiodic-templates
12 11
10 10 8 2 5
10 11 13
0.253551 0.9891 nonperiodic-templates
6 11
9 14 10
6 9 10
10 7 0.739918
0.9891 nonperiodic-templates
5 8
11 9 13 14 5
9 11 7
0.387648 1.0000 nonperiodic-templates
11 6
10 10 11 7 2
12 7 16
0.094034 0.9891 nonperiodic-templates
10 9
13 6 5
11 8 8
9 13 0.625552
1.0000 nonperiodic-templates
9 8
8 10 9 19 6
5 10 8
0.107371 0.9783 nonperiodic-templates
13 11
6 9 7 8 11
10 9 8
0.879806 0.9891 nonperiodic-templates
12 11
10 9 3 11 10
7 11 8
0.625552 1.0000 nonperiodic-templates
6 9
17 6 11 4 8
12 12 7
0.094034 0.9783 nonperiodic-templates
12 8
6 4 9 14 11
8 11 9
0.468595 0.9891 nonperiodic-templates
11 6
7 7 12 13 13
2 11 10
0.167699 1.0000 nonperiodic-templates
7 8
11 13 8 7 7
9 14 8
0.671779 0.9891 nonperiodic-templates
15 9
4 9 9 10 13
7 4 12
0.167699 0.9783 nonperiodic-templates
10 10
13 6 6 10 11 4 11
11 0.511916 1.0000
nonperiodic-templates
6 12
4 13 7 16 8
9 12 5
0.082177 0.9891 nonperiodic-templates
9 12
14 10 6 6 10
7 9 9
0.694743 1.0000 nonperiodic-templates
10 9
8 11 12 8 7
9 9 9
0.987446 0.9891 nonperiodic-templates
10 14
11 10 3 8 12
8 9 7
0.427082 0.9783 nonperiodic-templates
8 9
7 12 13 6 11
11 5 10
0.625552 0.9891 nonperiodic-templates
10 8
13 11 12 8 10
5 9 6
0.694743 0.9891 nonperiodic-templates
5 6
12 9 11 9 13
5 12 10
0.447593 0.9891 nonperiodic-templates
9 11
6 8 10 9 6
14 8 11
0.739918 0.9783 nonperiodic-templates
11 7
11 7 8 8 7
8 13 12 0.804337 0.9891
nonperiodic-templates
12 9
12 6 6 8 11
9 11 8
0.824517 0.9891 nonperiodic-templates
7 11
13 9 8 11 7
13 4 9
0.511916 0.9891 nonperiodic-templates
7 9
11 12 5 15 9
5 9 10
0.387648 1.0000 nonperiodic-templates
11 9
11 4 4 5 12
11 10 15
0.130453 1.0000 nonperiodic-templates
8 11
7 13 6 16 9
7 4 11
0.167699 1.0000 nonperiodic-templates
9 5
8 12 9 5 12
8 10 14
0.468595 0.9783
nonperiodic-templates
9 13
6 10 5 7 8
9 12 13
0.534146 1.0000 nonperiodic-templates
12 9
12 5 10 13 7
8 8 8
0.694743 0.9891 nonperiodic-templates
12 8
7 11 5 8 12
6 12 11
0.602458 1.0000 nonperiodic-templates
13 7
10 8 10 12 9
9 8 6
0.862344 1.0000 nonperiodic-templates
13 12
7 7 7 4 8
9 9 16
0.189397 1.0000 nonperiodic-templates
6 19
10 6 8 10 9
7 6 11
0.082177 1.0000 nonperiodic-templates
8 11
9 7 7 10 9
7 11 13
0.896187 0.9891 nonperiodic-templates
11 7
13 8 12 9 6
14 7 5
0.368773 1.0000 nonperiodic-templates
16 5
8 10 8 15 7
6 10 7
0.139036 0.9783 nonperiodic-templates
9 6
4 10 6 14 2
11 18 12
0.005062 0.9783 nonperiodic-templates
10 17
6 1 9 10 11
6 5 17
0.002221 0.9783 nonperiodic-templates
7 9
5 7 6 9 15
11 9 14
0.283402 1.0000 nonperiodic-templates
8 9
13 9 6 15 8
3 14 7
0.114637 0.9891 nonperiodic-templates
8 14
9 6 9 10 5
10 12 9
0.648687 1.0000 nonperiodic-templates
10 7
6 9 15 13 8
13 8 3
0.148094 0.9891 nonperiodic-templates
10 6
10 14 14 10 5
7 8 8
0.407091 1.0000 nonperiodic-templates
6 16
7 4 16 8 7
9 10 9
0.071670 0.9891 nonperiodic-templates
7 7
5 11 13 7 14
9 9 10
0.511916 1.0000 nonperiodic-templates
9 11
13 10 5 10 9
13 5 7
0.511916 0.9891 nonperiodic-templates
10 6
10 12 7 7 10
8 11 11
0.896187 0.9891 nonperiodic-templates
10 4
6 14 12 10 10
10 6 10
0.427082 0.9891 nonperiodic-templates
5 10
16 7 8 10 11
7 8 10
0.427082 0.9783 nonperiodic-templates
5 9
8 7 13 11 9
7 11 12
0.694743 0.9891 nonperiodic-templates
9 7
12 9 10 7 9
8 10 11
0.976060 0.9891 nonperiodic-templates
5 12
11 9 8 6 13
6 15 7
0.239540 1.0000 nonperiodic-templates
9 10
10 4 11 14 7
9 8 10
0.648687 0.9783 nonperiodic-templates
6 9
6 15 9 4 8
14 9 12
0.178278 1.0000 nonperiodic-templates
6 6
8 9 10
13 8 7
14 11 0.556687
1.0000 nonperiodic-templates
7 10
17 6 9 8 7
8 9 11
0.368773 0.9891 nonperiodic-templates
7 6
11 9 5 12 6
11 12 13
0.447593 0.9783 nonperiodic-templates
9 11
6 12 9
10 10 7
8 10 0.949602
0.9891 nonperiodic-templates
10 6
5 10 13 16 8
8 9 7
0.283402 0.9674 nonperiodic-templates
10 8
7 9 13 7 13
9 7 9
0.824517 0.9891 nonperiodic-templates
9 8 9 7
6 7 11
12 11 12
0.843884 0.9783 nonperiodic-templates
11 7
9 13 12 5 9
11 7 8
0.694743 0.9891 nonperiodic-templates
8 11
10 12 8 11 5
9 10 8
0.896187 1.0000 nonperiodic-templates
11 15
6 6 9
5 6 11
14 9 0.189397
1.0000 nonperiodic-templates
16 12
5 4 7 14 13
6 7 8
0.040694 1.0000 nonperiodic-templates
9 11
10 11 9 5 9
7 11 10
0.925420 0.9783 nonperiodic-templates
6 9
12 8 12
14 8 11
5 7 0.468595
0.9891 nonperiodic-templates
10 10
9 8 8 12 8
8 8 11
0.987446 0.9891 nonperiodic-templates
5 13
6 7 14 15 8
3 10 11
0.058161 1.0000 nonperiodic-templates
5 14
10 6 3 13 7
12 13 9
0.100508 0.9891 nonperiodic-templates
8 13
9 6 9 8 12
10 10 7
0.862344 0.9891 nonperiodic-templates
15 8
11 11 7 5 10
4 14 7
0.148094 0.9783 nonperiodic-templates
13 6
12 8 8 8 6
12 9 10
0.717488 0.9891 nonperiodic-templates
8 8
9 9 11 9 10
7 13 8
0.959726 1.0000 nonperiodic-templates
14 6
13 7 12 8 7
12 9 4
0.253551 0.9783 nonperiodic-templates
12 9
7 7 12 9 12 6 7
11 0.761937 0.9674
nonperiodic-templates
12 10
10 8 12 7 6
11 7 9
0.862344 0.9891 nonperiodic-templates
7 10
11 16 7 12 6
6 6 11
0.253551 0.9783 nonperiodic-templates
11 7
8 8 9 8 7
12 10 12
0.925420 0.9891 nonperiodic-templates
13 7
13 10 7 8 10
5 10 9
0.671779 1.0000 nonperiodic-templates
10 12
8 14 10 15 6
2 6 9
0.076763 0.9891 nonperiodic-templates
13 9
14 3 11 3 12
9 11 7
0.094034 0.9783 nonperiodic-templates
5 11
10 16 9 12 3
9 8 9
0.167699 1.0000 nonperiodic-templates
15 3
7 5 4 10 10
13 15 10
0.024265 1.0000 nonperiodic-templates
9 5
10 8 8 16 6
6 11 13 0.226129 1.0000
nonperiodic-templates
9 12
7 14 7 7 12
7 12 5
0.407091 1.0000 nonperiodic-templates
6 6
8 11 11 6 9
11 11 13
0.671779 1.0000 nonperiodic-templates
11 8
11 7 16 12 4
10 8 5
0.178278 0.9891 nonperiodic-templates
10 13
8 10 7 11 7
6 10 10
0.862344 0.9891 nonperiodic-templates
12 8
15 5 10 9 9
7 10 7
0.534146 0.9891 nonperiodic-templates
6 10
9 7 10 7 13
16 7 7
0.332797 1.0000 nonperiodic-templates
5 16
8 8 10 11 12
4 8 10
0.213309 0.9891 nonperiodic-templates
10 5
9 7 7 10 8
14 8 14
0.468595 0.9891 nonperiodic-templates
7 10
8 6 8 12 6
9 11 15
0.511916 1.0000 nonperiodic-templates
8 12
9 11 12 7 7
10 8 8
0.925420 1.0000 nonperiodic-templates
14 8
11 9 7 5 9
12 14 3
0.148094 0.9891 nonperiodic-templates
7 9
11 11 8 13 5
8 8 12
0.717488 0.9891 nonperiodic-templates
6 13
3 11 11 9 9
10 9 11
0.511916 0.9783 nonperiodic-templates
7 8
8 9 12 5 12
11 9 11
0.804337 1.0000 nonperiodic-templates
10 13
7 13 10 9 7
6 9 8
0.761937 0.9891 nonperiodic-templates
7 14
5 6 12 8 11
7 11 11
0.447593 0.9783 nonperiodic-templates
7 11
10 7 6 9 12
10 10 10
0.925420 0.9891 nonperiodic-templates
8 6
8 6 6 8 11
11 11 17
0.226129 0.9674 nonperiodic-templates
12 9
8 10 6 11 8
6 11 11
0.862344 0.9891 nonperiodic-templates
10 12
9 6 8 8 5
12 13 9
0.648687 0.9783 nonperiodic-templates
10 6
4 8 8 10 12
13 4 17
0.050485 1.0000 nonperiodic-templates
5 9
14 7 6 9 9
9 14 10
0.447593 0.9783 nonperiodic-templates
14 8
6 7 11 18 7
9 7 5
0.058161 0.9565 * nonperiodic-templates
13 11
4 19 9 5 10
6 5 10
0.013153 0.9674 nonperiodic-templates
12 6
10 12 8 6 10
11 5 12
0.579479 1.0000 nonperiodic-templates
11 11
8 11 8 9 4
14 9 7
0.579479 0.9783 nonperiodic-templates
14 8
11 11 9 4 11
6 13 5
0.239540 0.9891 nonperiodic-templates
7 8
13 8 12 9 12
6 5 12
0.511916 0.9891 nonperiodic-templates
11 7
13 8 6 6 15
10 8 8
0.427082 0.9891 nonperiodic-templates
6 11
5 8 6 8 12
16 10 10
0.268170 1.0000 nonperiodic-templates
9 8
5 5 4 18 12
7 14 10
0.019334 1.0000 nonperiodic-templates
7 6
15 9 12 7 10
8 6 12
0.427082 0.9891 nonperiodic-templates
7 12
10 10 9 12 12
5 8 7
0.739918 1.0000 nonperiodic-templates
10 2
7 19 5 9 10
12 8 10
0.016589 0.9891 nonperiodic-templates
11 6
6 5 12 12 9
11 10 10
0.648687 0.9891 nonperiodic-templates
9 11
11 8 5 8 11
6 11 12
0.761937 1.0000 nonperiodic-templates
10 10
8 7 10
9 7 11
10 10 0.991468
0.9783 nonperiodic-templates
15 7
10 10 7 7 8
13 6 9
0.490050 0.9674 nonperiodic-templates
11 8
12 9 9 13 7
5 8 10
0.761937 1.0000 nonperiodic-templates
17 11 8
5 4 11
11 11 8
6 0.100508 0.9674
nonperiodic-templates
11 11
10 10 8 10 8
10 8 6
0.976060 0.9891 nonperiodic-templates
12 2
6 17 9 6 10
9 14 7
0.026154 1.0000 nonperiodic-templates
9 12 12 6
11 6 12
9 10 5
0.602458 0.9891 nonperiodic-templates
8 11
6 15 8 11 10
10 8 5
0.511916 1.0000 nonperiodic-templates
12 5
7 13 6 9 6
14 11 9
0.332797 1.0000 nonperiodic-templates
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
The minimum pass rate for each statistical test
with the exception of the random
excursion (variant) test is approximately =
0.958880 for a sample size = 92
binary sequences.
For further guidelines construct a probability
table using the MAPLE program
provided in the addendum section of the
documentation.
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
MS.DAT
------------------------------------------------------------------------------
RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE
PROPORTION OF PASSING SEQUENCES
------------------------------------------------------------------------------
------------------------------------------------------------------------------
C1 C2
C3 C4 C5 C6 C7
C8 C9 C10 P-VALUE
PROPORTION STATISTICAL TEST
------------------------------------------------------------------------------
4 11
9 12 10 7 13
14 10 10
0.574903 0.9900 frequency
12 11 14 11
4 7 10
7 11 13
0.474986 1.0000 block-frequency
6 8
8 6 13 9 13
9 19 9
0.115387 0.9700 cumulative-sums
6 8
7 15 13 9 10
12 9 11
0.637119 0.9800 cumulative-sums
8 11
10 9 9 9 13
9 11 11
0.991468 0.9900 runs
15 8
6 9 8 11 10
11 10 12
0.779188 0.9900 longest-run
6 10
11 9 15 5 9
7 17 11
0.171867 0.9900 rank
12 9
17 3 7 12 12
7 10 11
0.162606 1.0000 fft
15 9
11 7 7
8 17 9
13 4 0.108791
0.9900 nonperiodic-templates
19 12
14 6 8 8 10
12 4 7
0.042808 0.9800 nonperiodic-templates
6 9
17 12 12 6 12
9 7 10
0.319084 0.9900 nonperiodic-templates
9 12
7 6 12 9
10 17 10
8 0.455937 0.9900
nonperiodic-templates
6 12
7 11 10 9 13
9 14 9
0.759756 0.9900 nonperiodic-templates
6 8
10 15 13 6 8
7 13 14
0.289667 1.0000 nonperiodic-templates
11 10
12 4 9 12 9
5 12 16
0.262249 0.9900 nonperiodic-templates
6 11
10 11 9 15 7
12 11 8
0.719747 1.0000 nonperiodic-templates
12 11
11 10 12 10 9
9 6 10
0.971699 1.0000 nonperiodic-templates
14 13
9 6 13 12 7 8
7 11 0.554420
0.9900 nonperiodic-templates
20 9
10 6 10 6 13
9 11 6
0.066882 0.9800 nonperiodic-templates
12 8
11 13 11 8 9
9 8 11
0.964295 1.0000 nonperiodic-templates
7 10
11 14 6 9 9 9 8
17 0.366918 0.9700
nonperiodic-templates
13 8
16 6 11 10 9
7 7 13
0.401199 0.9800 nonperiodic-templates
12 10
7 11 15 9 4
7 14 11
0.334538 1.0000 nonperiodic-templates
4 11
9 13 8 8 12
11 16 8
0.350485 1.0000 nonperiodic-templates
7 6
12 11 10 19 7
7 11 10
0.162606 1.0000 nonperiodic-templates
10 7
8 13 12 6 14
10 8 12
0.678686 1.0000 nonperiodic-templates
13 10
6 10 12 12 9
10 13 5 0.657933
1.0000 nonperiodic-templates
9 8
10 11 2 19 9
12 11 9
0.071177 0.9900 nonperiodic-templates
9 11
2 13 13 15 7
9 11 10
0.213309 0.9900 nonperiodic-templates
10 8
6 10 12 8 13
10 15 8 0.678686 1.0000
nonperiodic-templates
9 14
12 7 15 8 7
5 11 12
0.366918 0.9800 nonperiodic-templates
7 16
4 11 11 13 9
12 10 7
0.304126 0.9900 nonperiodic-templates
13 7
13 6 12 4 15
9 9 12
0.249284 0.9900 nonperiodic-templates
9 4
7 13 8 11 18
9 10 11
0.181557 0.9900 nonperiodic-templates
6 9
8 12 7 10 12
12 14 10
0.759756 1.0000 nonperiodic-templates
9 8
11 9 9 11 9
13 12 9
0.983453 0.9900 nonperiodic-templates
12 14
10 9 13 5 8
10 6 13
0.494392 0.9900 nonperiodic-templates
11 5
11 6 7 11 11
12 14 12
0.554420 1.0000 nonperiodic-templates
6 6
14 11 11 9 11
8 14 10
0.616305 1.0000 nonperiodic-templates
9 10
10 12 13 14 9
9 7 7
0.834308 1.0000 nonperiodic-templates
9 12
10 7 10 12 8
11 14 7
0.851383 1.0000 nonperiodic-templates
8 7
7 14 6 13 13
10 16 6
0.191687 1.0000 nonperiodic-templates
3 12
13 10 10 8 7
13 13 11
0.401199 0.9900 nonperiodic-templates
6 8
5 7 14 15 12
15 9 9
0.181557 0.9900 nonperiodic-templates
12 6
10 7 16 13 11
10 6 9
0.419021 1.0000 nonperiodic-templates
10 4
14 15 15 13 8
8 7 6
0.108791 0.9700 nonperiodic-templates
13 11
14 5 8 9 7
16 8 9
0.304126 1.0000 nonperiodic-templates
11 13
12 13 10 4 9
11 8 9
0.678686 0.9700 nonperiodic-templates
14 4
5 12 13 10 10
8 11 13
0.319084 0.9900 nonperiodic-templates
5 8
21 12 5 7 11
8 13 10
0.016717 0.9700 nonperiodic-templates
11 6
8 14 9 9 9
11 13 10
0.834308 0.9900 nonperiodic-templates
9 16
6 11 9 7 6
13 11 12
0.401199 1.0000 nonperiodic-templates
8 15
8 11 11 10 5
10 11 11
0.719747 0.9800 nonperiodic-templates
13 10
12 8 11 10 6
8 11 11
0.911413 0.9800 nonperiodic-templates
8 12
14 9 9 6 16
10 8 8
0.474986 0.9900 nonperiodic-templates
9 8
11 14 10 9 10
12 4 13
0.616305 0.9800 nonperiodic-templates
13 12
8 3 4 10 12
10 14 14
0.129620 0.9900 nonperiodic-templates
12 7
12 12 9 8 7
17 10 6
0.350485 1.0000 nonperiodic-templates
11 8
7 11 11 9 12
9 10 12
0.978072 1.0000 nonperiodic-templates
6 12
11 14 9 9 9
10 11 9
0.897763 0.9800 nonperiodic-templates
10 12
10 8 6 4 13
9 16 12
0.275709 1.0000 nonperiodic-templates
10 15
11 11 8 9 9
8 10 9
0.924076 0.9700 nonperiodic-templates
8 7
11 10 13 10 12
9 7 13
0.867692 1.0000 nonperiodic-templates
8 10
7 10 9 12 8
8 16 12
0.678686 1.0000 nonperiodic-templates
9 8
9 18 8 5 7
11 13 12
0.202268 0.9900 nonperiodic-templates
7 8
11 9 14 12 10
7 9 13
0.798139 0.9800 nonperiodic-templates
13 14
11 8 9 15 7
4 7 12
0.249284 0.9900 nonperiodic-templates
4 11
10 15 14 7 12
8 12 7
0.289667 0.9900 nonperiodic-templates
8 7
12 10 8 13 15
12 9 6
0.574903 1.0000 nonperiodic-templates
7 15
16 6 9 7 8
7 12 13
0.202268 0.9900 nonperiodic-templates
11 9
14 9 5 8 7
11 11 15
0.494392 1.0000 nonperiodic-templates
13 13
10 12 14 9 11
6 9 3
0.304126 0.9900 nonperiodic-templates
7 14
10 10 9 9 11
14 6 10
0.739918 1.0000 nonperiodic-templates
11 9
10 18 7 11 5
10 13 6
0.181557 0.9900 nonperiodic-templates
8 9
22 11 8 7 9
8 11 7
0.037566 0.9800 nonperiodic-templates
9 10
10 10 5 9 10
16 11 10
0.699313 1.0000 nonperiodic-templates
13 9
15 6 4 13 10
6 16 8
0.085587 1.0000 nonperiodic-templates
8 6
11 12 10 8 15
7 11 12
0.657933 0.9900 nonperiodic-templates
10 11
16 8 12
7 6 8
11 11 0.574903
0.9900 nonperiodic-templates
15 7
13 10 8 11 9
8 7 12
0.678686 0.9700 nonperiodic-templates
11 10
9 9 17 18 7
5 7 7
0.051942 0.9900 nonperiodic-templates
9 4
15 10 8
10 12 12
10 10 0.595549
0.9800 nonperiodic-templates
15 9
11 7 7 8 17
9 13 4
0.108791 0.9900 nonperiodic-templates
13 9
9 12 8 13 8
7 11 10
0.897763 0.9800 nonperiodic-templates
16 10 6 8
6 9 14
7 12 12
0.304126 1.0000 nonperiodic-templates
8 13
12 10 7 8 5
9 18 10
0.213309 0.9900 nonperiodic-templates
8 8
10 2 5 10 14
10 19 14
0.012650 1.0000 nonperiodic-templates
8 10
11 14 10
9 10 13
10 5 0.779188
1.0000 nonperiodic-templates
7 14
10 13 12 6 7
12 9 10
0.657933 1.0000 nonperiodic-templates
11 9
7 9 8 12 11
8 13 12
0.924076 1.0000 nonperiodic-templates
12 9
11 7 5 13
7 14 11 11 0.574903
0.9800 nonperiodic-templates
12 6
17 8 8 10 7
11 14 7
0.262249 1.0000 nonperiodic-templates
8 11
13 10 10 13 10
8 11 6
0.883171 0.9900 nonperiodic-templates
8 8
11 9 12 9
10 16 9
8 0.779188 0.9900
nonperiodic-templates
14 13
11 8 7 8 7
8 12 12
0.699313 0.9900 nonperiodic-templates
11 11
11 15 5 9 15
10 4 9
0.236810 0.9900 nonperiodic-templates
12 11
12 9 3 14 16
9 8 6
0.153763 0.9800 nonperiodic-templates
10 7
9 13 7 9 13
9 11 12
0.883171 1.0000 nonperiodic-templates
11 4
11 8 11 11 8
13 13 10
0.678686 0.9800 nonperiodic-templates
6 17
12 11 5 10 12 7
11 9 0.275709
0.9900 nonperiodic-templates
10 11
10 11 9 10 12
10 4 13
0.816537 1.0000 nonperiodic-templates
10 11
16 8 7 14 7
12 7 8
0.419021 0.9900 nonperiodic-templates
11 11
10 12 12 10 7
13 9
5 0.798139 1.0000
nonperiodic-templates
7 11
20 7 7 9 12
7 6 14
0.042808 0.9900 nonperiodic-templates
9 7
11 15 14 6 8
10 9 11
0.595549 0.9900 nonperiodic-templates
13 9
8 11 9 10 14
8 6 12
0.779188 0.9800 nonperiodic-templates
14 10
8 11 3 18 5
4 15 12
0.007694 1.0000 nonperiodic-templates
7 8
9 11 9 13 13
7 20 3
0.023545 1.0000 nonperiodic-templates
9 5
8 11 9 10 16
7 13 12 0.437274 0.9900
nonperiodic-templates
10 8
8 9 14 17 11
8 9 6
0.383827 1.0000 nonperiodic-templates
9 8
11 9 10 7 8
13 9 16
0.678686 1.0000 nonperiodic-templates
10 7
6 12 17 6 11
12 13 6
0.191687 1.0000 nonperiodic-templates
13 5
7 11 8 8 15
14 11 8
0.366918 0.9900 nonperiodic-templates
9 5
13 15 8 8 11
6 11 14
0.334538 0.9900 nonperiodic-templates
9 6
11 12 10 11 8
14 6 13
0.657933 1.0000 nonperiodic-templates
14 9
7 12 12 7 10
9 12 8
0.816537 1.0000 nonperiodic-templates
5 9
8 17 10 12 11
9 6 13
0.275709 0.9800 nonperiodic-templates
9 11
14 8 9 12 11
10 7 9
0.924076 0.9900 nonperiodic-templates
11 13
8 6 16 4 13
11 8 10
0.236810 1.0000 nonperiodic-templates
9 15
13 11 12 6 6
8 3 17
0.042808 1.0000 nonperiodic-templates
9 14
12 14 15 3 8
11 7 7
0.145326 0.9900 nonperiodic-templates
11 15
6 8 9 11 11
15 8 6
0.401199 1.0000 nonperiodic-templates
16 9
10 10 7 7 7
14 9 11
0.514124 0.9800 nonperiodic-templates
13 12
11 9 6 7 9
12 10 11
0.867692 0.9600 nonperiodic-templates
5 11
14 8 6 12 11
9 11 13
0.554420 0.9900 nonperiodic-templates
6 9
13 17 8 16 7
6 11 7
0.090936 0.9900 nonperiodic-templates
7 11
8 11 10 9 12
10 9 13
0.964295 1.0000 nonperiodic-templates
7 11
10 8 13 14 6
10 9 12
0.739918 0.9800 nonperiodic-templates
10 5
12 10 10 14 5
10 13 11
0.534146 0.9800 nonperiodic-templates
11 6
8 8 7 9 10
13 11 17
0.401199 0.9900 nonperiodic-templates
15 5
12 7 11 9 15
10 6 10
0.304126 1.0000 nonperiodic-templates
11 9
11 7 7 13 12
9 15 6
0.574903 1.0000 nonperiodic-templates
7 10
10 11 10 11 9
11 14 7
0.924076 1.0000 nonperiodic-templates
10 11
11 5 12 11 12
12 7 9
0.834308 0.9900 nonperiodic-templates
6 10
9 6 13 16 7
11 11 11
0.437274 0.9900 nonperiodic-templates
14 5
11 16 9 12 10
6 8 9
0.319084 1.0000 nonperiodic-templates
11 5
11 15 6 16 8
12 10 6
0.171867 0.9800 nonperiodic-templates
16 5
12 10 14 13 12
7 8 3
0.075719 1.0000 nonperiodic-templates
9 10
8 13 5 10 13
12 4 16
0.191687 0.9700 nonperiodic-templates
9 8
10 12 7 9 12
6 14 13
0.699313 0.9900 nonperiodic-templates
6 11
8 10 9 7 11
10 17 11
0.514124 0.9900 nonperiodic-templates
11 11
18 13 10 5 7
8 9 8
0.224821 1.0000 nonperiodic-templates
4 9
10 11 16 11 2
16 14 7
0.017912 1.0000 nonperiodic-templates
5 7
14 6 14 9 11
11 8 15
0.249284 0.9800 nonperiodic-templates
8 10
7 12 13 13 12
14 7 4
0.350485 1.0000 nonperiodic-templates
9 18
10 7 5
7 14 9
6 15 0.055361
1.0000 nonperiodic-templates
11 11
5 9 9 11 12
7 16 9
0.534146 0.9800 nonperiodic-templates
5 9
9 9 6 17 9
6 13 17
0.051942 1.0000 nonperiodic-templates
11 7 12
5 11 13
9 16 7
9 0.383827 1.0000
nonperiodic-templates
16 7
10 4 19 14 6
10 6 8
0.010988 0.9800 nonperiodic-templates
8 10
9 10 15 12 11
6 10 9
0.816537 0.9800 nonperiodic-templates
9 21 10 8
11 7 8
9 9 8
0.102526 1.0000 nonperiodic-templates
5 10
10 8 18 7 7
12 12 11
0.213309 0.9900 nonperiodic-templates
10 12
5 9 11 13 13
8 13 6
0.554420 1.0000 nonperiodic-templates
9 9
12 10 11
5 14 11
13 6 0.595549
0.9900 nonperiodic-templates
9 4
16 9 8 10 12
12 10 10
0.474986 0.9800 nonperiodic-templates
9 15
12 6 10 12 8
7 13 8
0.574903 0.9900 overlapping-templates
10 16
7 13 9 8
7 9 13
8 0.514124 0.9800
universal
14 13
12 13 11 9 5
4 10 9
0.334538 0.9700 apen
11 6
7 6 6 9 6
8 8 4
0.834308 1.0000 random-excursions
7 4
11 9 5 9 6
5 9 6
0.666838 0.9859 random-excursions
6 9
11 8 7 9 7
6 4 4
0.696376 0.9718 random-excursions
6 7
7 8 12 4 7
3 4 13
0.127498 1.0000 random-excursions
6 6
6 9 6 8 9
8 7 6
0.989002 1.0000 random-excursions
6 6
11 8 9 7 6
9 3 6
0.696376 1.0000 random-excursions
8 5
8 6 6 9 7
6 5 11
0.858470 1.0000 random-excursions
6 5
9 15 6 9 7
5 1 8
0.048716 1.0000 random-excursions
6 5 5
9 4 10
8 10 3
11 0.316916 1.0000
random-excursions-variant
7 5
5 5 8 13 5
4 9 10
0.295803 1.0000 random-excursions-variant
6 5
5 8 11 8 7
6 7 8
0.901761 1.0000 random-excursions-variant
7
4 10 7
9 5 7
10 5 7
0.781926 1.0000 random-excursions-variant
9 7
4 7 8 9 8
5 8 6
0.937294 1.0000 random-excursions-variant
11 9
2 5 6 9 8
14 4 3
0.030515 1.0000 random-excursions-variant
11 9
3 12 5 10 5
6 5 5
0.190212 0.9859 random-excursions-variant
9 13
6 12 7 7 5
1 4 7
0.058454 0.9859 random-excursions-variant
7 10
10 8 10 5 5
6 6 4
0.666838 0.9859 random-excursions-variant
7 5
5 6 6 8 5
7 10 12
0.637119 1.0000 random-excursions-variant
5 5
4 6 9 8 11
8 5 10
0.577844 1.0000 random-excursions-variant
3 9
4 5 7 7 12
8 8 8
0.464055 0.9859 random-excursions-variant
4 8
7 10 5 8 10
5 5 9
0.696376 0.9859 random-excursions-variant
4 5
12 8 4 9 10
7 7 5
0.411329 0.9859 random-excursions-variant
4 6
5 11 11 6 5
10 4 9
0.316916 0.9859 random-excursions-variant
5 6
11 6 7 13 4
8 3 8
0.205375 1.0000 random-excursions-variant
6 5
11 11 5 5 5
9 8 6
0.548605 1.0000 random-excursions-variant
5 9
6 10 7 5 6
7 6 10
0.858470 1.0000 random-excursions-variant
14 9
8 12 12 18 9
5 10 3
0.051942 1.0000 serial
10 14
16 10 13 7 6
10 8 6
0.304126 1.0000 serial
17 11
9 7 9 4 11
9 12 11
0.319084 0.9900 linear-complexity
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
The minimum pass rate for each statistical test
with the exception of the random
excursion (variant) test is approximately =
0.960150 for a sample size = 100
binary sequences.
The minimum pass rate for the random excursion
(variant) test is approximately
0.954575 for a sample size = 71 binary sequences.
For further guidelines construct a probability
table using the MAPLE program
provided in the addendum section of the
documentation.
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
LCG.DAT
------------------------------------------------------------------------------
RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE PROPORTION
OF PASSING SEQUENCES
------------------------------------------------------------------------------
------------------------------------------------------------------------------
C1 C2
C3 C4 C5 C6 C7
C8 C9 C10 P-VALUE
PROPORTION STATISTICAL TEST
------------------------------------------------------------------------------
6 15
8 9 11 7 10
11 13 10
0.678686 0.9900 frequency
11 7
11 6 10 13 15
13 6 8
0.437274 0.9900 block-frequency
6 12
17 10 3
11 10 15
9 7 0.080519
0.9900 cumulative-sums
7 13
11 10 9 10 11
13 11 5
0.779188 0.9900 cumulative-sums
12 10
11 8 9 8 14
11 9 8
0.935716 0.9700 runs
8 8
10 18 7 9 13
10 11 6
0.289667 1.0000 longest-run
12 9
9 8 8 7 18
10 10 9
0.455937 0.9900 rank
5 11
12 11 13 5 15
13 8 7
0.262249 1.0000 fft
13 13
10 9 12 7 11
9 8 8
0.897763 0.9900 nonperiodic-templates
10 13 7 9
10 12 10
13 6 10
0.851383 1.0000 nonperiodic-templates
6 15
11 6 10 8 8
13 14 9
0.419021 1.0000 nonperiodic-templates
14 7
10 6 14 17 9
5 11 7
0.115387 0.9700 nonperiodic-templates
12 6
13 7 11
11 15 12
6 7 0.401199
0.9900 nonperiodic-templates
7 12
12 7 8 11 10
12 15 6
0.574903 1.0000 nonperiodic-templates
13 9
9 12 9 8 7
9 11 13
0.911413 0.9900 nonperiodic-templates
18 10
13 3 8
9 11 9
12 7 0.115387
0.9900 nonperiodic-templates
5 9
9 6 13 13 12
14 6 13
0.304126 1.0000 nonperiodic-templates
19 9
9 8 15 13 8
7 7 5
0.051942 0.9800 nonperiodic-templates
10 13
11 9 6 13 5
10 10 13
0.637119 0.9700 nonperiodic-templates
14 11
10 9 6 10 14
13 7 6
0.494392 0.9800 nonperiodic-templates
14 10
11 10 7 9 13
12 7 7
0.759756 0.9800 nonperiodic-templates
15 9
8 10 11 6 9
10 8 14
0.657933 1.0000 nonperiodic-templates
12 13
4 8 14 6 6
9 17 11
0.085587 0.9900 nonperiodic-templates
12 13
8 13 10 9 10
8 7 10
0.911413 0.9800 nonperiodic-templates
10 10
7 11 8 16 12 8 8
10 0.719747 0.9900
nonperiodic-templates
6 15
11 9 12 12 5
4 14 12
0.153763 1.0000 nonperiodic-templates
10 11
14 15 9 12 8
9 7 5
0.474986 0.9900 nonperiodic-templates
6 12
16 8 11 15 6
8 10 8
0.275709 1.0000 nonperiodic-templates
14 10
9 5 10 10 9
14 13 6
0.494392 0.9700 nonperiodic-templates
11 7
11 15 16 8 14
5 7 6
0.115387 0.9800 nonperiodic-templates
15 7
9 12 14 8 11
10 7 7
0.554420 0.9600 nonperiodic-templates
8 14
11 8 6 14 9
8 12 10
0.678686 0.9800 nonperiodic-templates
8 14
11 9 15 9 8
8 6 12
0.574903 0.9900 nonperiodic-templates
12 8
13 10 6 9 11
11 12 8 0.883171 1.0000
nonperiodic-templates
9 11
12 6 9 8 7
11 16 11
0.595549 0.9900 nonperiodic-templates
8 13
5 10 9 7 14
11 12 11
0.637119 1.0000 nonperiodic-templates
8 14
9 13 11 14 6
9 6 10
0.534146 0.9900 nonperiodic-templates
9 5
8 9 13 9 18
8 13 8
0.202268 1.0000 nonperiodic-templates
10 11
3 9 15 14 11
12 10 5
0.202268 0.9900 nonperiodic-templates
13 8
11 12 6 7 11
11 10 11
0.867692 1.0000
nonperiodic-templates
7 9
11 10 12 10 11
10 10 10
0.996335 0.9900 nonperiodic-templates
9 14
9 7 4 14 9
11 9 14
0.366918 1.0000 nonperiodic-templates
11 15
12 8 13 5 14
12 2 8
0.075719 0.9900 nonperiodic-templates
10 9
3 10 9 11 13
10 19 6
0.071177 1.0000 nonperiodic-templates
14 18
5 6 16 9 12
5 7 8
0.017912 1.0000 nonperiodic-templates
7 9
11 12 11 8 11
12 6 13
0.834308 1.0000 nonperiodic-templates
11 8
6 14 9 13 8
12 12 7
0.657933 0.9800 nonperiodic-templates
7 12
8 8 14 10 13
9 11 8
0.816537 0.9800 nonperiodic-templates
13 5
8 12 9 11 8
15 6 13
0.366918 0.9700 nonperiodic-templates
11 8
10 11 11 8 14
9 11 7
0.924076 1.0000 nonperiodic-templates
13 9
12 10 7 13 4
11 8 13
0.514124 1.0000 nonperiodic-templates
10 13
14 9 10 8 9
6 12 9
0.816537 0.9900 nonperiodic-templates
10 6
10 13 12 11 12
16 2 8
0.129620 0.9800 nonperiodic-templates
9 13
8 13 4 8 11
11 10 13
0.595549 1.0000 nonperiodic-templates
13 5
8 14 11 12 8
12 4 13
0.262249 0.9900 nonperiodic-templates
8 10
11 12 10 8 12
8 10 11
0.987896 0.9900 nonperiodic-templates
10 10
5 9 8 12 13
13 11 9
0.798139 0.9900 nonperiodic-templates
11 9
14 11 13 11 6
11 8 6
0.678686 0.9900 nonperiodic-templates
16 9
9 6 11 12 17
5 9 6
0.090936 0.9800 nonperiodic-templates
11 8
10 11 11 10 10
15 6 8
0.816537 0.9900 nonperiodic-templates
14 9
9 14 8 7 9
8 14 8
0.616305 0.9800 nonperiodic-templates
11 18
9 9 10 7 11
9 8 8
0.474986 0.9900 nonperiodic-templates
9 4
15 9 16 6 13
6 14 8
0.066882 1.0000 nonperiodic-templates
10 7
11 11 10 7 18
7 10 9
0.401199 1.0000 nonperiodic-templates
13 6
11 9 11 12 13
7 10 8
0.798139 0.9600 nonperiodic-templates
10 12
13 10 9 10 5
9 9 13
0.834308 0.9900 nonperiodic-templates
15 14
6 6 11 10 7
9 11 11
0.474986 0.9900 nonperiodic-templates
12 12
9 8 9 12 12
9 10 7
0.955835 1.0000 nonperiodic-templates
10 7
11 9 8 10 12
9 14 10
0.935716 0.9800 nonperiodic-templates
13 11
11 10 9 6 7
13 11 9
0.851383 0.9800 nonperiodic-templates
8 9
8 13 8
11 16 10
9 8 0.699313
0.9900 nonperiodic-templates
12 8
8 13 4 10 9
12 10 14
0.554420 0.9900 nonperiodic-templates
7 15
9 12 10 11 7
9 11 9
0.816537 0.9800 nonperiodic-templates
10 7
13 14 7
13 8 11
9 8 0.719747
1.0000 nonperiodic-templates
11 9
13 8 7 16 8
11 8 9
0.637119 0.9900 nonperiodic-templates
7 13
10 12 11 11 8
11 5 12
0.759756 1.0000 nonperiodic-templates
11 5 10 19
11 5 11
13 6 9
0.066882 0.9900 nonperiodic-templates
15 15
10 11 3 6 11
13 8 8
0.145326 0.9800 nonperiodic-templates
15 10
7 9 14 11 10
16 5 3
0.062821 1.0000 nonperiodic-templates
10 14
13 9 8
9 13 9
6 9 0.759756
0.9800 nonperiodic-templates
7 11
6 10 7 7 15
13 13 11
0.455937 0.9900 nonperiodic-templates
14 15
8 13 9 6 7
6 9 13
0.304126 0.9800 nonperiodic-templates
13 13
10 9 12
7 11 9
8 8 0.897763
0.9900 nonperiodic-templates
17 8
9 11 8 8 8
10 11 10
0.657933 1.0000 nonperiodic-templates
7 9
9 10 16 14 11
12 7 5
0.334538 1.0000 nonperiodic-templates
13 9
12 13 14 10 6
8 9 6
0.574903 0.9900 nonperiodic-templates
15 10
9 6 10 12 8
7 12 11
0.699313 0.9900 nonperiodic-templates
8 9
13 13 13 8 6
15 6 9
0.401199 0.9900 nonperiodic-templates
10 12
10 11 8 14 8
8 7 12
0.867692 0.9900 nonperiodic-templates
9 17
9 10 8 11 7
8 10 11
0.637119 1.0000 nonperiodic-templates
13 10
5 13 7 14 5
13 7 13
0.213309 0.9700 nonperiodic-templates
12 9
12 9 14 8 14 7 6
9 0.616305 0.9900
nonperiodic-templates
9 12
11 6 14 12 11
9 5 11
0.637119 1.0000 nonperiodic-templates
11 12
9 15 9 5 14
10 7 8
0.474986 1.0000 nonperiodic-templates
10 12
15 8 12 12 7
8 6 10
0.637119 0.9900 nonperiodic-templates
9 10
14 10 10 14 12
8 3 10
0.437274 0.9900 nonperiodic-templates
11 5
8 17 12 7 8
15 9 8
0.181557 0.9900 nonperiodic-templates
7 13
11 11 15 6 6
10 6 15
0.224821 1.0000 nonperiodic-templates
10 11
12 7 10 13 8
12 9 8
0.935716 1.0000 nonperiodic-templates
11 11
14 11 3 14 9
10 3 14
0.090936 0.9900 nonperiodic-templates
7 10
14 8 10 8 12
6 9 16 0.437274 1.0000
nonperiodic-templates
5 5
10 10 10 10 16
12 15 7
0.191687 1.0000 nonperiodic-templates
12 13
6 8 9 9 12
10 8 13
0.816537 1.0000 nonperiodic-templates
11 12
11 8 9 8 14
10 9 8
0.935716 0.9800 nonperiodic-templates
12 10
12 13 8 17 6
8 6 8
0.275709 0.9900 nonperiodic-templates
10 15
11 4 9 12 7
9 16 7
0.202268 0.9900 nonperiodic-templates
9 11
8 15 5 17 10
13 6 6
0.102526 0.9900 nonperiodic-templates
12 13
8 10 15 10 5
9 6 12
0.455937 0.9800 nonperiodic-templates
15 12
9 4 7 11 9
17 5 11
0.085587 0.9700 nonperiodic-templates
8 7
10 11 20 11 7
8 9 9
0.162606 0.9700 nonperiodic-templates
6 7
17 12 16 7 10
8 11 6
0.108791 0.9900 nonperiodic-templates
11 6
13 10 13 11 10
8 12 6
0.739918 1.0000 nonperiodic-templates
10 8
7 12 8 10 9
13 10 13
0.911413 0.9900 nonperiodic-templates
8 8
6 8 13 8 20
9 7 13
0.066882 0.9900 nonperiodic-templates
9 12
10 8 13 3 10
10 12 13
0.534146 1.0000 nonperiodic-templates
11 10
8 15 7 9 7
17 6 10
0.249284 0.9900 nonperiodic-templates
12 10
13 9 9 10 13
8 6 10
0.883171 0.9900 nonperiodic-templates
13 7
7 9 13 11 9
10 14 7
0.699313 0.9700 nonperiodic-templates
7 10
11 17 9 7 5
10 12 12
0.334538 1.0000 nonperiodic-templates
12 14
11 9 11 9 8
9 9 8
0.946308 1.0000 nonperiodic-templates
10 9
9 8 13 6 17
11 6 11
0.366918 1.0000 nonperiodic-templates
15 7
11 6 16 12 8
7 11 7
0.249284 1.0000 nonperiodic-templates
10 12
10 9 10 5 9
13 7 15
0.595549 0.9900 nonperiodic-templates
12 10
10 4 13 12 8
12 8 11
0.678686 1.0000 nonperiodic-templates
5 6
10 17 10 12 13
7 10 10
0.262249 0.9900 nonperiodic-templates
10 6
13 11 4 7 12
15 10 12
0.319084 0.9900 nonperiodic-templates
10 14
10 8 7 8 13
14 8 8
0.678686 1.0000 nonperiodic-templates
8 8
8 10 14 7 13
11 8 13
0.739918 1.0000 nonperiodic-templates
10 10
10 9 11 10 12
11 11 6
0.983453 0.9800 nonperiodic-templates
10 10
13 10 11 5 13
7 14 7
0.554420 0.9900 nonperiodic-templates
9 15
11 15 10 9 4
10 10 7
0.366918 1.0000 nonperiodic-templates
8 8
11 6 7 9 13
12 7 19
0.129620 1.0000 nonperiodic-templates
7 10
7 12 9 11 12
17 6 9
0.401199 0.9800 nonperiodic-templates
9 9
15 10 7 11 9
10 9 11
0.911413 1.0000 nonperiodic-templates
8 10
12 11 11 7 12
10 10 9
0.983453 0.9900 nonperiodic-templates
11 12
11 12 9 9 12
7 11 6
0.897763 0.9700 nonperiodic-templates
11 11
8 10 10 12 8
11 10 9
0.996335 1.0000 nonperiodic-templates
12 8
8 10 14
6 12 10
8 12 0.779188
0.9700 nonperiodic-templates
9 6
8 12 13 9 8
13 11 11
0.834308 0.9900 nonperiodic-templates
16 8
7 8 6 11 13
6 11 14
0.262249 0.9800 nonperiodic-templates
11 15 11
6 10 10
9 9 12
7 0.759756 1.0000
nonperiodic-templates
11 8
8 9 9 12 10
13 11 9
0.978072 0.9800 nonperiodic-templates
11 6
13 10 8 13 6
6 17 10
0.213309 0.9900 nonperiodic-templates
5 8 11 9
11 13 12
6 13 12
0.595549 0.9900 nonperiodic-templates
12 8
8 6 15 10 8
18 8 7
0.145326 1.0000 nonperiodic-templates
9 16
11 7 5 11 10
7 10 14
0.366918 0.9800 nonperiodic-templates
5 10
12 11 10
6 13 13
9 11 0.678686
1.0000 nonperiodic-templates
6 8
16 10 8 12 10
6 14 10
0.383827 0.9800 nonperiodic-templates
12 12
13 7 11 5 10
8 15 7
0.437274 1.0000 nonperiodic-templates
7 11
6 12 14 5
14 6 11
14 0.213309 0.9900
nonperiodic-templates
8 17
9 13 9 8 7
11 5 13
0.262249 1.0000 nonperiodic-templates
13 10
9 6 12 9 11
6 10 14
0.699313 0.9800 nonperiodic-templates
13 8
11 13 8 11 9
12 5 10
0.759756 1.0000 nonperiodic-templates
11 9
13 13 6 11 10
9 11 7
0.851383 0.9800 nonperiodic-templates
18 7
9 10 16 9 6
6 10 9
0.108791 0.9800 nonperiodic-templates
14 15
8 13 9 7 6 6
9 13 0.304126
0.9800 nonperiodic-templates
12 16
13 10 10 8 7
10 7 7
0.534146 0.9900 overlapping-templates
8 9
8 9 8 12 9
15 15 7
0.554420 0.9900 universal
10 9
8 14 14 14 7
9 5 10 0.455937 0.9900
apen
4 2
6 4 9 8 6
4 7 6
0.455937 1.0000 random-excursions
5 6
6 4 5 5 6
5 5 9
0.911413 1.0000 random-excursions
0 5
4 6 6 5 8
8 7 7
0.289667 1.0000 random-excursions
5 5
7 3 8 4 7
4 7 6
0.779188 0.9821 random-excursions
3 7
5 4 3 8 4
8 3 11
0.108791 1.0000 random-excursions
4 4
7 4 8 6 6
3 7 7
0.739918 0.9821 random-excursions
6 6 3
8 3 3
5 6 12
4 0.096578 0.9821
random-excursions
6 9
6 8 6 2 2
1 7 9
0.058984 1.0000 random-excursions
6 10
13 4 3 2 4
5 4 5
0.011791 0.9643 random-excursions-variant
6 10
8 8 6 2
1 7 3 5 0.075719
0.9643
random-excursions-variant
7 8
8 5 6 5 4
5 4 4
0.816537 0.9821 random-excursions-variant
5 7
8 8 4 6 5
2 3 8
0.419021 1.0000 random-excursions-variant
5 6 7
8 6 8
2 3 4
7 0.494392 1.0000
random-excursions-variant
3 7
7 5 7 5 9
4 3 6
0.574903 1.0000 random-excursions-variant
3 4
6 9 6 7 9
4 3 5
0.383827 1.0000 random-excursions-variant
2
6 8 3
9 7 6
5 2 8
0.191687 0.9821 random-excursions-variant
4 2
11 5 5 7 4
6 6 6
0.289667 1.0000 random-excursions-variant
4 7
2 10 3 4 9
5 6 6
0.191687 1.0000 random-excursions-variant
6 4
3 8 8 5 3
4 8 7
0.494392 1.0000 random-excursions-variant
5 4
1 5 9 8 8
5 4 7
0.262249 0.9821 random-excursions-variant
4 3
5 5 8 7 8
8 2 6
0.419021 1.0000 random-excursions-variant
4 6
4 4 4 9 8
4 6 7
0.616305 1.0000 random-excursions-variant
7 3
6 3 9 5 5
4 7 7
0.574903 1.0000 random-excursions-variant
5 7
4 6 3 10 6
5 9 1
0.137282 1.0000 random-excursions-variant
6 7
4 3 5 6 7
7 5 6
0.911413 1.0000 random-excursions-variant
7 3
5 5 6 7 3
6 10 4
0.455937 1.0000 random-excursions-variant
7 8
11 17 12 9 14
6 9 7
0.275709 1.0000 serial
13 8
7 9 17 8 14
8 9 7
0.304126 0.9900 serial
9 12
6 10 15 13 7
11 9 8
0.637119 0.9900 linear-complexity
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
The minimum pass rate for each statistical test
with the exception of the random
excursion (variant) test is approximately =
0.960150 for a sample size = 100
binary sequences.
The minimum pass rate for the random excursion
(variant) test is approximately
0.950112 for a sample size = 56 binary sequences.
For further guidelines construct a probability
table using the MAPLE program
provided in the addendum section of the
documentation.
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
XOR.DAT
------------------------------------------------------------------------------
RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE
PROPORTION OF PASSING SEQUENCES
------------------------------------------------------------------------------
------------------------------------------------------------------------------
C1 C2
C3 C4 C5 C6 C7
C8 C9 C10 P-VALUE
PROPORTION STATISTICAL TEST
------------------------------------------------------------------------------
10 4
7 10 8
12 15 11
11 12 0.494392
0.9800 frequency
13 12
10 5 7 6 11
9 7 20
0.042808 0.9500 * block-frequency
11 4
5 9 13 12 8
10 13 15
0.249284 0.9900 cumulative-sums
10 5
5 15 11 12 9
8 13 12
0.366918 0.9800 cumulative-sums
9 5
7 9 9 10 17
14 9 11
0.319084 0.9800 runs
16 12
3 16 7 7 9
12 10 8
0.085587 0.9800 longest-run
34 15
11 10 11 6 5
2 5 1
0.000000 * 0.8500 * rank
15 12
11 9 9 2
9 5 14 14 0.080519
0.9900 fft
89 5
2 1 1 1 0
1 0 0
0.000000 * 0.2400 *
nonperiodic-templates
51 8
10 11 4 4 5
4 1 2
0.000000 * 0.7400 *
nonperiodic-templates
6 5
9 7 11 12 14
11 8 17
0.181557 0.9900 nonperiodic-templates
7 7
10 9 10 9 12
10 10 16
0.739918 0.9800 nonperiodic-templates
0 0
3 3 6 10 8
18 18 34
0.000000 * 1.0000
nonperiodic-templates
0 1
0 2 2 4 5
16 29 41 0.000000
* 1.0000 nonperiodic-templates
3 6
9 5 10 9 15
11 11 21
0.004301 1.0000 nonperiodic-templates
2 5
8 5 6 11 9
18 15 21
0.000070 * 1.0000
nonperiodic-templates
1 6
3 10 11 7 9
17 17 19
0.000105 1.0000 nonperiodic-templates
0 0
2 1 2 2 6
9 28 50
0.000000 * 1.0000
nonperiodic-templates
3 11
4 9 10 11 14
7 13 18
0.028817 1.0000 nonperiodic-templates
1 1
1 9 8 6 7
13 25 29
0.000000 * 1.0000
nonperiodic-templates
6 4
5 9 13 13 10
10 11 19
0.037566 0.9900 nonperiodic-templates
2 4
3 3 8 11 12
14 18 25
0.000000 * 1.0000
nonperiodic-templates
0 0
2 3 2 7 11
12 26 37
0.000000 * 1.0000
nonperiodic-templates
5 5
6 5 9 8 7
19 13 23
0.000034 * 1.0000
nonperiodic-templates
2 3
6 4 9 10 10
14 18 24
0.000001 * 1.0000
nonperiodic-templates
6 6
13 11 12 9 15
8 8 12
0.494392 0.9900 nonperiodic-templates
1 0
3 5 9 10 8
11 23 30
0.000000 * 1.0000
nonperiodic-templates
1 2
1 8 9 8 8
16 16 31
0.000000 * 1.0000
nonperiodic-templates
15 8
13 9 10 6 12
9 8 10
0.699313 0.9800 nonperiodic-templates
11 6
10 8 14 5 14
10 9 13
0.455937 1.0000 nonperiodic-templates
9 7
6 11 7 5 12
15 18 10
0.080519 1.0000 nonperiodic-templates
1 6
1 5 8 10 11
21 17 20
0.000000 * 1.0000 nonperiodic-templates
9 7
13 7 8 5 14
13 14 10
0.366918 0.9900 nonperiodic-templates
5 12
6 4 10 13 9
19 8 14
0.023545 1.0000 nonperiodic-templates
4 9
8 14 9 11 8
15 11 11
0.437274 1.0000 nonperiodic-templates
10 5
9 4 12 7 14
11 13 15
0.181557 0.9900 nonperiodic-templates
33 17
7 5 6 9 8
5 5 5
0.000000 * 0.8700 *
nonperiodic-templates
4 4
1 12 9 13 9
13 21 14
0.000253 1.0000 nonperiodic-templates
4 8
6 4 8 8 12
15 15 20
0.002559 1.0000 nonperiodic-templates
14 9
7 6 11 5 10
16 11 11
0.304126 0.9900 nonperiodic-templates
31 11
4 9 16 6 5
6 7 5
0.000000 * 0.8900 *
nonperiodic-templates
10 9
9 14 3 9 10
12 15 9
0.366918 0.9900 nonperiodic-templates
36 13
13 12 2 4 6
5 4 5
0.000000 * 0.9100 *
nonperiodic-templates
6 8
9 10 15 10 13
14 5 10
0.383827 0.9900 nonperiodic-templates
1 1
4 5 6 12 19
12 15 25
0.000000 * 1.0000
nonperiodic-templates
1 3
2 4 7 13 7
15 19 29
0.000000 * 1.0000
nonperiodic-templates
4 14
2 14 10 12 8
14 6 16
0.013569 0.9900 nonperiodic-templates
1 3
3 5 5 14 16
14 12 27
0.000000 * 1.0000
nonperiodic-templates
4 9
4 10 7 13 8
10 24 11
0.000600 1.0000 nonperiodic-templates
5 10
7 7 7 10 10
16 12 16
0.171867 1.0000 nonperiodic-templates
3 3
10 5 10 13 7
15 19 15
0.001296 1.0000 nonperiodic-templates
3 4
4 4 5 9 13
17 19 22
0.000000 * 1.0000
nonperiodic-templates
42 12
12 6 6 3 6
5 4 4
0.000000 * 0.8600 * nonperiodic-templates
1 4
2 2 16 6 10
17 21 21
0.000000 * 1.0000
nonperiodic-templates
10 12
1 5 14 13 7
14 14 10
0.040108 0.9900 nonperiodic-templates
4 5
9 10 3 6 12
16 16 19
0.000818 0.9900 nonperiodic-templates
7 9
12 7 16 9 4
9 10 17
0.102526 1.0000 nonperiodic-templates
4 3
3 9 6 14 11
12 15 23
0.000031 * 1.0000
nonperiodic-templates
11 10
2 10 10 13 11
11 11 11
0.554420 0.9900 nonperiodic-templates
2 5
5 4 5 9 5
15 20 30
0.000000 * 1.0000
nonperiodic-templates
2 3
3 11 15 8 11
7 19 21
0.000006 * 1.0000
nonperiodic-templates
2 4
8 4 10 11 13
13 18 17
0.001296 1.0000 nonperiodic-templates
13 6
7 13 9
9 15 8
14 6 0.304126
0.9900 nonperiodic-templates
37 14
5 11 12 4 7
3 5 2
0.000000 * 0.9100 *
nonperiodic-templates
5 11
9 7 6 12 11
8 16 15
0.202268 1.0000 nonperiodic-templates
1 1
6 10 6
14 12 10
16 24 0.000001 * 1.0000 nonperiodic-templates
3 3
6 8 9 10 10
7 19 25
0.000002 * 1.0000
nonperiodic-templates
6 13
12 7 8 10 11
12 9 12
0.816537 1.0000 nonperiodic-templates
6 8 11 4
11 7 12
11 11 19
0.080519 0.9900 nonperiodic-templates
3 3
2 12 11 11 13
7 19 19
0.000065 * 1.0000
nonperiodic-templates
0 0
1 2 6 4 10
19 17 41
0.000000 * 1.0000
nonperiodic-templates
1 5
7 6 9
8 14 17
13 20 0.000296
1.0000 nonperiodic-templates
5 9
4 11 12 11 8
8 12 20
0.035174 1.0000 nonperiodic-templates
10 4
9 9 10 10 13
9 16 10
0.494392 0.9900 nonperiodic-templates
1 8
7 10 8
16 11 11
11 17 0.028817
1.0000 nonperiodic-templates
2 3
4 5 5 10 11
20 14 26
0.000000 * 1.0000
nonperiodic-templates
7 11
8 10 8 6 12
17 14 7
0.262249 0.9900 nonperiodic-templates
6 19
5 9 9 6 10
16 8 12
0.030806 1.0000 nonperiodic-templates
35 18
4 7 15 3 3
5 5 5
0.000000 * 0.8700 *
nonperiodic-templates
7 6
8 10 8 13 11
10 13 14
0.657933 0.9900 nonperiodic-templates
11 3
9 8 9 7 13
14 9 17
0.122325 0.9800 nonperiodic-templates
4 7
9 5 10 13 5
17 15 15
0.015598 1.0000 nonperiodic-templates
89 5
2 1 1 1 0
1 0 0
0.000000 * 0.2400 *
nonperiodic-templates
5 1
4 7 9 7 8 10 22
27 0.000000 * 0.9900 nonperiodic-templates
0 0
0 3 5 9 9
12 25 37
0.000000 * 1.0000
nonperiodic-templates
0 0
1 7 8 8 8
14 15 39
0.000000 * 1.0000
nonperiodic-templates
5 7
10 12 10 11 9
12 13 11
0.798139 0.9900 nonperiodic-templates
5 11
8 15 8 8 10
6 15 14
0.213309 1.0000 nonperiodic-templates
4 7
6 14 11 9 12
6 16 15
0.066882 0.9800 nonperiodic-templates
12 10
13 7 11 9 9
10 8 11
0.964295 0.9700 nonperiodic-templates
9 10
10 8 10 11 6
15 8 13
0.739918 0.9900 nonperiodic-templates
3 2
9 9 15 13 7
15 7 20
0.000600 1.0000 nonperiodic-templates
4 7
4 7 11 13 14
15 12 13 0.080519 0.9800
nonperiodic-templates
1 3
4 10 6 11 12
15 17 21
0.000016 * 1.0000
nonperiodic-templates
2 6
9 7 15 8 4
14 19 16
0.000700 1.0000 nonperiodic-templates
3 8
4 9 14 14 6
10 16 16
0.012650 0.9900 nonperiodic-templates
3 0
9 5 8 11 16
14 15 19
0.000097 * 1.0000
nonperiodic-templates
31 19
15 9 6 6 5
3 1 5
0.000000 * 0.9100 *
nonperiodic-templates
8 12
3 10 6 10 12
11 13 15
0.262249 0.9900 nonperiodic-templates
1 2
7 3 11 5 10
14 27 20
0.000000 * 1.0000
nonperiodic-templates
0 0
0 3 3 6 10
11 19 48
0.000000 * 1.0000
nonperiodic-templates
7 3
9 7 7 14 9
9 16 19
0.011791 1.0000 nonperiodic-templates
38 11
8 8 8 3 6
9 4 5
0.000000 * 0.8600 *
nonperiodic-templates
9 7
8 11 14 10 9
7 11 14
0.759756 0.9900 nonperiodic-templates
51 10
6 9 7 5 5
3 3 1
0.000000 * 0.7700 *
nonperiodic-templates
3 4
5 8 9 11 16
13 14 17
0.007160 0.9900 nonperiodic-templates
0 2
5 9 8 12 16
12 22 14
0.000008 * 1.0000
nonperiodic-templates
1 4
1 11 9 8 13
14 21 18
0.000004 * 1.0000 nonperiodic-templates
6 12
6 7 10 10 19
8 10 12
0.145326 1.0000 nonperiodic-templates
0 0
0 1 3 3 8
12 21 52
0.000000 * 1.0000
nonperiodic-templates
4 6
8 5 10 7 19
6 17 18
0.000439 1.0000 nonperiodic-templates
0 3
2 3 14 5 11
18 21 23
0.000000 * 1.0000
nonperiodic-templates
2 3
8 12 6 8 11
11 16 23
0.000065 * 1.0000
nonperiodic-templates
3 7
8 11 15 10 8
10 11 17
0.115387 1.0000 nonperiodic-templates
0 2
1 8 8 3 10
16 16 36
0.000000 * 1.0000
nonperiodic-templates
6 9
8 9 15 9 12
11 8 13
0.678686 1.0000 nonperiodic-templates
4 6
12 8 12 15 12
9 10 12
0.366918 1.0000 nonperiodic-templates
12 12
8 4 9 10 12
10 15 8
0.514124 0.9800 nonperiodic-templates
1 3
2 3 4 5 11
17 25 29
0.000000 * 1.0000
nonperiodic-templates
30 16
13 9 5 6 3
9 5 4
0.000000 * 0.9400 *
nonperiodic-templates
1 1
3 5 8 6 11
16 17 32
0.000000 * 1.0000
nonperiodic-templates
3 3
6 4 7 12 8
11 18 28
0.000000 * 1.0000
nonperiodic-templates
2 2
2 5 11 11 9
12 17 29
0.000000 * 1.0000
nonperiodic-templates
5 3
2 13 7 11 13
13 12 21
0.000439 0.9800 nonperiodic-templates
10 8
6 14 9 10 13
13 7 10
0.699313 1.0000 nonperiodic-templates
2 4
4 7 9 8 12
10 17 27
0.000000 * 1.0000
nonperiodic-templates
5 12
10 4 14 10 9
18 11 7
0.075719 1.0000 nonperiodic-templates
2 5
6 11 10 10 12
11 10 23
0.000954 1.0000 nonperiodic-templates
29 17
12 7 6 10 8
4 4 3
0.000000 * 0.9200 *
nonperiodic-templates
11 10
7 14 9
11 8 10
9 11 0.946308
0.9800 nonperiodic-templates
1 1
5 3 4 8 10
19 17 32
0.000000 * 1.0000
nonperiodic-templates
1 5
7 6 13 14 10
14 15 15
0.008266 1.0000 nonperiodic-templates
4 2 7
11 3 9
16 10 21
17 0.000031 * 1.0000 nonperiodic-templates
1 3
4 4 9 8 7
14 12 38
0.000000 * 1.0000
nonperiodic-templates
2 6
5 6 5 10 14
14 19 19
0.000089 * 1.0000
nonperiodic-templates
4 14 13 7
8 13 12
12 10 7
0.350485 1.0000 nonperiodic-templates
32 21
5 5 9 8 4
6 3 7
0.000000 * 0.8900 *
nonperiodic-templates
7 5
6 15 5 8 10
13 18 13
0.028817 1.0000 nonperiodic-templates
3 4
14 8 13
10 10 14
10 14 0.102526
1.0000 nonperiodic-templates
8 3
5 6 12 12 10
17 17 10
0.017912 0.9900 nonperiodic-templates
2 5
6 5 8 11 7
18 18 20
0.000024 * 1.0000
nonperiodic-templates
36 20
13 4 4 9
5 3 4
2 0.000000 * 0.8800 * nonperiodic-templates
5 4
11 15 7 15 6
13 13 11
0.075719 0.9900 nonperiodic-templates
9 10
12 12 14 9 7
7 9 11
0.867692 1.0000 nonperiodic-templates
3 7
10 9 12 18 8
14 11 8
0.085587 1.0000 nonperiodic-templates
2 4
8 10 9 13 14
8 13 19
0.007694 1.0000 nonperiodic-templates
10 16
6 9 8 13 11
9 10 8
0.616305 0.9900 nonperiodic-templates
4 8
7 10 10 10 16 11
13 11 0.383827
1.0000 nonperiodic-templates
1 2
2 5 10 10 13
17 21 19
0.000000 * 1.0000
nonperiodic-templates
8 9
4 11 7 7 15
12 13 14
0.249284 1.0000 nonperiodic-templates
3 4
5 10 8 12 16 16 11
15 0.010237 1.0000
nonperiodic-templates
6 12
13 12 10 6 6
12 14 9
0.474986 0.9900 nonperiodic-templates
0 3
4 5 8 11 14
10 20 25
0.000000 * 1.0000
nonperiodic-templates
0 2
8 2 6 8 8
15 16 35
0.000000 * 1.0000
nonperiodic-templates
1 5
4 3 2 10 7
12 19 37
0.000000 * 1.0000
nonperiodic-templates
4 7
9 5 10 13 5
17 15 15
0.015598 1.0000 nonperiodic-templates
26 19
11 13 6 7 8
4 4 2 0.000000 * 0.9300 * overlapping-templates
53 9
4 4 4 2 8
3 7 6
0.000000 * 0.6800 * universal
31 11
7 2 7 4 3
2 6 27
0.000000 * 0.7900 * apen
9 9
5 4 3 6 10
5 11 9
0.339044 0.9577 * random-excursions
5 6
12 11 5 5 8
8 10 1
0.107876 0.9859 random-excursions
8 11
8 9 7 4 9
4 8 3
0.464055 1.0000 random-excursions
3 4
9 12 9 7 9
6 2 10
0.127498 0.9859 random-excursions
6 5
10 7 11 6 5
7 7 7
0.834308 1.0000 random-excursions
9 8
3 9 8 5 12
6 5 6
0.464055 1.0000 random-excursions
13 7
4 4 5 8 8
10 7 5
0.316916 1.0000 random-excursions
6 6
5 7 8
8 5 9
9 8 0.964295
0.9859 random-excursions
11 8
4 6 10 7 10
3 8 4
0.339044 0.9859 random-excursions-variant
11 8
2 10 6 8 9
6 10 1
0.099089 0.9859 random-excursions-variant
11 6
4 6 9
13 7 5
2 8 0.127498
0.9859
random-excursions-variant
9 6
7 6 8 8 9
7 8 3
0.901761 0.9718 random-excursions-variant
7 11
10 4 8 6 4
4 9 8
0.491599 0.9718 random-excursions-variant
9 5
11 3 6
8 8 6
5 10 0.519816
1.0000
random-excursions-variant
9 5
6 9 8 7 7
6 7 7
0.989002 1.0000 random-excursions-variant
8 7
6 6 11 11 5
9 2 6
0.362174 1.0000 random-excursions-variant
4 10
6 11 5 5 8
6 8 8
0.666838 1.0000 random-excursions-variant
10 4
8 5 4 10 9
8 11 2
0.190212 1.0000 random-excursions-variant
8 8
5 5 7 7 5
6 8 12
0.754127 0.9859 random-excursions-variant
9 10
3 4 10 7 9
7 7 5
0.548605 0.9718 random-excursions-variant
10 6
9 6 8 9 4
6 5 8
0.834308 0.9718 random-excursions-variant
9 8
5 4 9 7 8
7 9 5
0.881013 0.9859 random-excursions-variant
10 4
10 7 3 10 8
5 8 6
0.491599 1.0000 random-excursions-variant
9 4
10 3 12 8 9
8 4 4
0.190212 1.0000 random-excursions-variant
9 7
5 4 10 9 4
12 6 5
0.362174 1.0000 random-excursions-variant
7 8
7 6 6 4 9
5 12 7
0.696376 1.0000 random-excursions-variant
40 7
3 2 2 3 3
5 11 24
0.000000 * 0.7400 * serial
21 11
6 7 7 11 10
8 8 11
0.055361 0.9500 * serial
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * linear-complexity
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
The minimum pass rate for each statistical test
with the exception of the random
excursion (variant) test is approximately =
0.960150 for a sample size = 100
binary sequences.
The minimum pass rate for the random excursion
(variant) test is approximately
0.954575 for a sample size = 71 binary sequences.
For further guidelines construct a probability
table using the MAPLE program
provided in the addendum section of the
documentation.
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
GDES.DAT
------------------------------------------------------------------------------
RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE
PROPORTION OF PASSING SEQUENCES
------------------------------------------------------------------------------
------------------------------------------------------------------------------
C1 C2
C3 C4 C5
C6 C7 C8 C9
C10 P-VALUE PROPORTION
STATISTICAL TEST
------------------------------------------------------------------------------
8 10
8 8 13 19 8
10 7 9
0.236810 1.0000 frequency
12 6
12 8 5 9 16
11 10 11 0.419021 0.9900
block-frequency
8 11
8 10 10 9 6
10 13 15
0.739918 1.0000 cumulative-sums
7 8
12 6 9 10 10
12 9 17
0.455937 1.0000 cumulative-sums
7 12
9 11 10 18 4
11 9 9
0.224821 1.0000 runs
9 12
8 4 12 17 7
13 11 7
0.181557 0.9900 longest-run
10 7
9 14 8 14 6
8 14 10
0.514124 0.9900 rank
12 5
8 16 7 8 13
12 8 11
0.350485 1.0000 fft
16 10
12 4 6 11 7
11 9 14 0.213309 0.9700
nonperiodic-templates
9 14
11 4 7 6 12
13 15 9
0.224821 0.9900 nonperiodic-templates
7 12
14 9 7 9 11
7 15 9
0.574903 1.0000 nonperiodic-templates
11 9
11 12 9 12 7
11 5 13
0.779188 0.9800 nonperiodic-templates
5 10
7 11 11 11 9
8 12 16
0.514124 1.0000 nonperiodic-templates
9 7
11 7 13 11 12
8 10 12
0.897763 0.9900 nonperiodic-templates
4 10
14 8 15 12 9
10 11 7
0.383827 1.0000 nonperiodic-templates
14 11
12 12 9 9 11
7 7 8
0.834308 0.9900 nonperiodic-templates
9 6
10 7 12 11 10
8 10 17
0.494392 0.9900 nonperiodic-templates
7 8
13 11 17 12 3
13 9 7
0.108791 0.9900 nonperiodic-templates
9 8
6 15 8 12 10
11 7 14
0.534146 1.0000 nonperiodic-templates
7 8
9 10 8 9 11
16 15 7
0.437274 0.9900 nonperiodic-templates
12 12
11 8 8 9 9
7 11 13
0.924076 0.9900 nonperiodic-templates
9 6
16 9 9 8 9
12 12 10
0.657933 0.9900 nonperiodic-templates
9 12
7 10 11 10 10
14 6 11
0.851383 0.9900 nonperiodic-templates
11 8
11 7 14 15 8
8 10 8
0.657933 1.0000 nonperiodic-templates
7 9
16 12 9 12 10
7 10 8
0.657933 0.9700 nonperiodic-templates
8 12
5 12 12 14 9
8 11 9
0.699313 0.9900 nonperiodic-templates
14 5
9 14 7 8 15
9 12 7
0.275709 0.9800 nonperiodic-templates
6 7
6 16 10 16 11
10 11 7
0.191687 0.9900 nonperiodic-templates
13 8
12 7 11 13 4
8 14 10
0.419021 1.0000 nonperiodic-templates
11 6
14 6 10 10 12
11 10 10
0.798139 1.0000 nonperiodic-templates
8 7
12 16 5 13 9
15 5 10
0.129620 0.9900 nonperiodic-templates
12 12
12 9 10 12 15
4 6 8
0.366918 0.9800 nonperiodic-templates
13 10
9 8 15 12 5
11 7 10
0.554420 0.9600 nonperiodic-templates
17 9
8 7 5 10 10
13 13 8
0.275709 1.0000 nonperiodic-templates
8 11
14 13 14 7 5
8 4 16
0.075719 1.0000 nonperiodic-templates
12 9
12 6 11 6 12
8 8 16
0.437274 0.9900 nonperiodic-templates
10 8
14 10 13 9 7
14 10 5
0.534146 0.9900 nonperiodic-templates
9 10
11 12 9 6 7
15 10 11
0.759756 0.9900 nonperiodic-templates
12 6
14 14 10 13 9
8 8 6
0.474986 0.9900 nonperiodic-templates
12 13
14 13 5 9 8
11 5 10
0.401199 0.9700 nonperiodic-templates
10 6
9 8 11 11 13
16 5 11
0.401199 0.9800 nonperiodic-templates
6 13
10 16 11 13 6
6 7 12
0.236810 0.9900 nonperiodic-templates
8 9
11 14 8 7 8
12 12 11
0.851383 0.9800 nonperiodic-templates
15 11
10 7 9 7 5
14 13 9
0.383827 0.9900 nonperiodic-templates
18 10
4 10 7 9 11
10 11 10
0.262249 0.9400 * nonperiodic-templates
13 12
8 9 10 8 9
14 10 7
0.851383 0.9900 nonperiodic-templates
12 8
10 7 10 9 18
8 7 11
0.383827 0.9900 nonperiodic-templates
12 10
11 8 13 10 8
12 5 11
0.816537 1.0000 nonperiodic-templates
15 13
15 9 10 7 9
7 6 9
0.383827 0.9900 nonperiodic-templates
6 12
8 8 14 9 12
14 9 8
0.637119 1.0000 nonperiodic-templates
7 7
13 10 12 10 10
7 12 12
0.851383 0.9900 nonperiodic-templates
9 13
10 9 10 7 10
8 7 17
0.514124 0.9900 nonperiodic-templates
13 7
8 11 13 12 11
5 11 9
0.699313 0.9900 nonperiodic-templates
10 3
17 6 6 8 12
12 12 14
0.062821 1.0000 nonperiodic-templates
7 10
10 12 7
9 13 10
13 9 0.897763
1.0000 nonperiodic-templates
6 8
15 9 15 11 12
2 10 12
0.108791 1.0000 nonperiodic-templates
10 8
11 9 14 11 6
13 12 6
0.657933 0.9800 nonperiodic-templates
13 12
11 10 7
10 12 9
6 10 0.883171
0.9800 nonperiodic-templates
9 9
9 9 12 16 7
11 10 8
0.759756 0.9900 nonperiodic-templates
11 6
14 6 11 12 10
9 6 15
0.383827 0.9900 nonperiodic-templates
9 12 9 6
13 16 12
9 4 10
0.289667 0.9900 nonperiodic-templates
8 18
11 9 7 7 12
7 12 9
0.304126 0.9800 nonperiodic-templates
13 17
9 10 16 4 9
7 6 9
0.071177 0.9800 nonperiodic-templates
9 11
9 4 14
15 14 8
5 11 0.181557
0.9900 nonperiodic-templates
8 10
5 13 5 13 10
16 12 8
0.236810 1.0000 nonperiodic-templates
6 13
14 11 9 12 8
7 13 7
0.554420 1.0000 nonperiodic-templates
9 12
7 7 15
7 12 9
12 10 0.678686
0.9900 nonperiodic-templates
13 7
10 8 15 8 7
10 11 11
0.719747 0.9900 nonperiodic-templates
12 10
11 13 6 7 9
9 10 13
0.834308 0.9900 nonperiodic-templates
12 14
4 11 10 14 8
8 8 11
0.474986 0.9900 nonperiodic-templates
12 9
7 12 6 5 17
13 7 12
0.162606 0.9600 nonperiodic-templates
17 10
2 15 7 9 6
12 9 13
0.037566 0.9800 nonperiodic-templates
8 9
15 7 9 11 7
15 6 13
0.350485 0.9900 nonperiodic-templates
7 5
9 12 16 11 9
13 10 8
0.437274 1.0000 nonperiodic-templates
13 9
7 8 18 6 6
8 13 12
0.137282 0.9800 nonperiodic-templates
9 12
9 15 4 10 9 9 9
14 0.474986 0.9900
nonperiodic-templates
8 11
8 16 10 8 11
12 6 10
0.637119 0.9900 nonperiodic-templates
16 7
6 13 11 9 12
13 7 6
0.275709 0.9800 nonperiodic-templates
13 17
7 8 9 11 7
9 6 13
0.289667 0.9700 nonperiodic-templates
5 7
11 12 6 9 15
14 13 8
0.275709 0.9900 nonperiodic-templates
9 6
11 13 5 16 9
12 12 7
0.304126 0.9900 nonperiodic-templates
12 10
12 12 13 9 3
11 9 9
0.595549 1.0000 nonperiodic-templates
16 10
12 4 6 11 7
11 9 14
0.213309 0.9700 nonperiodic-templates
11 12
7 11 11 10 9
7 13 9
0.935716 0.9900 nonperiodic-templates
11 9
12 15 7 9 13
5 13 6 0.350485 0.9700
nonperiodic-templates
5 10
7 13 15 10 6
11 15 8
0.249284 0.9900 nonperiodic-templates
11 6
10 9 13 17 7
7 11 9
0.383827 0.9900 nonperiodic-templates
12 11
9 9 12 11 17
4 6 9
0.249284 1.0000 nonperiodic-templates
10 14
14 9 12 6 10
10 10 5
0.554420 0.9900 nonperiodic-templates
14 18
8 10 10 13 10
8 7 2
0.048716 1.0000 nonperiodic-templates
9 7
13 10 9 10 10
16 8 8
0.699313 0.9700 nonperiodic-templates
8 6
11 7 13 8 11
16 8 12
0.455937 1.0000 nonperiodic-templates
3 14
13 9 7 12 9
11 12 10
0.401199 0.9900 nonperiodic-templates
10 10
12 6 15 13 10
8 10 6
0.595549 0.9900 nonperiodic-templates
7 8
11 12 12 13 12
8 6 11
0.779188 0.9800 nonperiodic-templates
6 7
8 11 11 16 9
18 8 6
0.085587 1.0000 nonperiodic-templates
15 14
12 9 14 7 9
9 8 3
0.181557 1.0000 nonperiodic-templates
6 12
9 10 14 12 8
7 6 16
0.304126 1.0000 nonperiodic-templates
10 13
8 10 7 12 13
10 6 11
0.816537 1.0000 nonperiodic-templates
11 13
9 10 12 10 8
9 8 10
0.983453 0.9900 nonperiodic-templates
4 15
17 10 7 6 14
9 10 8
0.075719 1.0000 nonperiodic-templates
8 8
15 6 13 7 6
20 5 12
0.011791 1.0000 nonperiodic-templates
13 9
10 4 9 11 13
11 10 10
0.759756 0.9900 nonperiodic-templates
13 11
12 11 10 6 10
9 7 11
0.897763 0.9700 nonperiodic-templates
6 13
5 11 16 8 10
11 9 11
0.401199 1.0000 nonperiodic-templates
6 13
6 23 9 12 10
10 4 7
0.002043 1.0000 nonperiodic-templates
10 11
9 10 8 10 7
12 13 10
0.971699 0.9700 nonperiodic-templates
7 6
12 12 11 10 7
18 6 11
0.191687 0.9800 nonperiodic-templates
7 9
10 8 12 6 12
16 10 10
0.595549 1.0000 nonperiodic-templates
15 12
9 9 10 8 9
12 8 8
0.851383 0.9700 nonperiodic-templates
13 9
11 11 9 11 8
8 7 13
0.911413 0.9800 nonperiodic-templates
12 11
10 14 7 12 14
4 8 8
0.401199 0.9900 nonperiodic-templates
11 4
14 9 8 7 14
11 13 9
0.401199 0.9900 nonperiodic-templates
11 10
14 10 7 11 7
11 13 6
0.719747 0.9900 nonperiodic-templates
17 15
3 8 15 7 3
10 11 11
0.011791 0.9800 nonperiodic-templates
12 15
11 6 5 16 6
15 6 8
0.051942 1.0000 nonperiodic-templates
13 17
12 8 9 6 10
8 12 5
0.236810 0.9800 nonperiodic-templates
10 8
9 9 15 9 8
11 11 10
0.924076 1.0000 nonperiodic-templates
7 12
13 5 12 14 12
10 11 4
0.289667 0.9700 nonperiodic-templates
7 8
8 9 8 14 12
7 15 12
0.534146 1.0000 nonperiodic-templates
13 13
12 9 10 10 14
7 5 7
0.514124 0.9900 nonperiodic-templates
9 8
7 9 6
9 20 10
6 16 0.030806
0.9900 nonperiodic-templates
5 14
14 9 6 10 11
10 9 12
0.534146 1.0000 nonperiodic-templates
12 8
10 12 7 11 9
11 10 10
0.983453 0.9900 nonperiodic-templates
9 6 7
8 8 10
11 10 19
12 0.213309 0.9900
nonperiodic-templates
8 8
16 6 6 12 8
12 11 13
0.366918 0.9900 nonperiodic-templates
7 10
7 6 10 10 14
17 9 10
0.350485 0.9900 nonperiodic-templates
9 11 4 8
13 8 10
14 13 10
0.534146 1.0000 nonperiodic-templates
11 11
12 11 4 8 8
14 11 10
0.657933 1.0000 nonperiodic-templates
15 5
6 16 11 7 11
13 6 10
0.129620 1.0000 nonperiodic-templates
5 7
12 17 15
8 7 10
8 11 0.162606
0.9900 nonperiodic-templates
16 7
13 14 9 9 4
10 7 11
0.224821 0.9800 nonperiodic-templates
6 8
9 10 16 11 9
10 8 13
0.616305 1.0000 nonperiodic-templates
8 11
13 14 10 13
11 8 6
6 0.574903 0.9900
nonperiodic-templates
15 11
6 10 9 7 11
16 9 6
0.304126 1.0000 nonperiodic-templates
6 11
7 9 15 10 13
14 9 6
0.401199 0.9900 nonperiodic-templates
5 10
13 8 9 8 12
14 13 8
0.574903 1.0000 nonperiodic-templates
7 15
10 11 11 11 8
14 7 6
0.514124 1.0000 nonperiodic-templates
7 13
9 12 3 16 6
8 15 11
0.080519 1.0000 nonperiodic-templates
11 5
12 9 5 9 19 14
8 8 0.062821
1.0000 nonperiodic-templates
6 12
11 10 9 11 9
14 8 10
0.883171 1.0000 nonperiodic-templates
7 20
6 10 10 10 8
10 6 13
0.080519 1.0000 nonperiodic-templates
9 9
8 14 11 11 12 5 11
10 0.798139 1.0000
nonperiodic-templates
16 15
8 8 10 8 5
9 10 11
0.350485 0.9900 nonperiodic-templates
10 9
9 9 16 12 6
12 8 9
0.657933 0.9700 nonperiodic-templates
11 16
13 8 6 4 14
10 4 14
0.048716 0.9900 nonperiodic-templates
9 12
8 12 10 11 6
12 12 8
0.897763 0.9900 nonperiodic-templates
6 12
10 9 11 8 17
8 10 9
0.534146 1.0000 nonperiodic-templates
8 12
10 10 9 11 7
13 8 12 0.935716
0.9900 nonperiodic-templates
13 14
11 6 10 10 8
10 13 5
0.534146 0.9900 nonperiodic-templates
4 7
9 13 12 10 10
9 13 13
0.554420 1.0000 nonperiodic-templates
4 11
11 9 17 13 12
7 7 9 0.213309 0.9900
nonperiodic-templates
14 9
6 9 9 16 8
6 14 9
0.289667 0.9900 nonperiodic-templates
14 14
12 6 6 9 10
5 13 11
0.319084 0.9900 nonperiodic-templates
13 5
9 12 10 7 11
16 7 10
0.401199 0.9700 nonperiodic-templates
12 10
12 12 13 9 3
9 11 9
0.595549 1.0000 nonperiodic-templates
6 7
14 10 4 7 17
12 11 12
0.108791 0.9900 overlapping-templates
7 9
11 9 15 6 10
7 16 10
0.366918 0.9900 universal
5 10
13 9 13 13 9
11 8 9
0.739918 1.0000 apen
10 8
5 5 8 3 3
9 3 6
0.324180 0.9833 random-excursions
4 3
6 8 8 5 4
11 9 2
0.178278 1.0000 random-excursions
5 4
8 9 2
6 2 8
8 8 0.324180
0.9833 random-excursions
7 2
9 7 4 8 2
7 7 7
0.437274 1.0000 random-excursions
8 3
5 5 3 6 9
6 9 6
0.637119 1.0000 random-excursions
9 3
4 6 6 5 4
10 6 7
0.602458 0.9667 random-excursions
4 4
4 8 4 6 4
11 10 5
0.275709 1.0000 random-excursions
6 3
7 5 3 5 4
11 9 7
0.350485 0.9833 random-excursions
3 4
9 5 6 3 7
8 5 10
0.437274 1.0000 random-excursions-variant
4 4
3 7 6 10 7
9 4 6
0.534146 0.9833 random-excursions-variant
4 5
3 5 9 8 11
6 5 4
0.378138 0.9833 random-excursions-variant
5 3
4 9 2 5 12 5 8
7 0.134686 0.9833
random-excursions-variant
6 3
2 6 5 12 9
1 9 7
0.039244 0.9833 random-excursions-variant
5 7
6 4 11 3 7
6 5 6
0.637119 0.9833 random-excursions-variant
6 5
9 9 6 6 6
3 4 6
0.804337 0.9833 random-excursions-variant
8 3
5 5 9 2 4
10 8 6
0.299251 1.0000 random-excursions-variant
5 4
5 6 10 3 4
7 9 7
0.568055 0.9833 random-excursions-variant
4 8
4 6 7
6 3 8
6 8 0.834308
1.0000
random-excursions-variant
3 9
7 4 3 6 7
12 4 5
0.195163 1.0000 random-excursions-variant
2 4
4 6 8 7 6
12 5 6
0.275709 1.0000 random-excursions-variant
1 4
5 10 7
6 11 6
3 7 0.134686
1.0000
random-excursions-variant
1 3
9 6 9 7 5
5 6 9
0.299251 1.0000 random-excursions-variant
2 6
4 9 7 5 6
5 7 9
0.637119 1.0000 random-excursions-variant
3 6
5 11 6 1 9
7 8 4
0.162606 1.0000 random-excursions-variant
3 6
5 9 8 5 6
8 4 6
0.804337 1.0000 random-excursions-variant
3 5
6 10 4 7 8
7 9 1
0.232760 1.0000 random-excursions-variant
11 14
4 11 12 7 6
12 10 13
0.383827 1.0000 serial
16 8
7 9 11 12 6
10 5 16
0.153763 0.9700 serial
7 10
4 12 16 9 12
8 17 5
0.051942 1.0000 linear-complexity
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
The minimum pass rate for each statistical test
with the exception of the random
excursion (variant) test is approximately =
0.960150 for a sample size = 100
binary sequences.
The minimum pass rate for the random excursion
(variant) test is approximately
0.951464 for a sample size = 60 binary sequences.
For further guidelines construct a probability
table using the MAPLE program
provided in the addendum section of the
documentation.
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
QCG1.DAT
------------------------------------------------------------------------------
RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE
PROPORTION OF PASSING SEQUENCES
------------------------------------------------------------------------------
------------------------------------------------------------------------------
C1 C2
C3 C4 C5 C6 C7
C8 C9 C10 P-VALUE
PROPORTION STATISTICAL TEST
------------------------------------------------------------------------------
82 8
6 1 1 2 0
0 0 0
0.000000 * 0.5900 * frequency
6 12
11 16 7 6 10
7 13 12
0.319084 0.9700 block-frequency
80 10
3 2 1 2 1
1 0 0
0.000000 * 0.6100 *
cumulative-sums
74 12
4 3 5 1 1
0 0 0
0.000000 * 0.5800 *
cumulative-sums
22 11
10 8 11 7 8
4 9 10
0.017912 0.9100 * runs
10 12
14 4 9 11 15
7 10 8
0.383827 1.0000 longest-run
10 13
14 15 9 8 6
8 3 14
0.122325 1.0000 rank
17 11
12 7 7 7 8
12 11 8
0.401199 1.0000 fft
13 12
9 11 8 8 9
11 7 12
0.924076 0.9800 nonperiodic-templates
8 8
7 14 4 12 12
11 10 14
0.401199 0.9800 nonperiodic-templates
16 15
10 10 9 3 9
10 11 7
0.202268 0.9700 nonperiodic-templates
11 11
9 10 10 14 7
7 12 9
0.897763 0.9600 nonperiodic-templates
12 9
12 18 9 2 12 8
5 13 0.035174
0.9900 nonperiodic-templates
8 7
16 13 8 8 14
9 8 9
0.455937 1.0000 nonperiodic-templates
12 13
10 11 8 16 11
9 2 8
0.191687 1.0000 nonperiodic-templates
9 15
11 3 9 8 9
10 11 15
0.289667 0.9800 nonperiodic-templates
11 12
14 9 11 11 5
7 11 9
0.739918 1.0000 nonperiodic-templates
12 11
15 10 10 4 10
11 9 8
0.616305 0.9900 nonperiodic-templates
9 10
7 10 9 12 10
12 5 16
0.534146 0.9800 nonperiodic-templates
13 11
6 16 11 6 3
11 14 9
0.102526 0.9800 nonperiodic-templates
6 11
9 7 14 9 15
15 7 7
0.262249 0.9900 nonperiodic-templates
10 15
12 11 11 10 7
8 9 7 0.798139 1.0000
nonperiodic-templates
11 11
8 7 5 8 9
15 14 12
0.437274 1.0000 nonperiodic-templates
10 3
14 11 15 3 10
10 14 10
0.075719 1.0000 nonperiodic-templates
8 15
9 17 7 5 17
10 5 7
0.020548 1.0000 nonperiodic-templates
13 8
10 14 13 8 6
8 10 10
0.719747 0.9900 nonperiodic-templates
15 13
9 11 5 12 9
11 7 8
0.534146 0.9700 nonperiodic-templates
11 9
15 8 6 6 14
15 10 6
0.213309 0.9900 nonperiodic-templates
11 7
10 10 13 9 13
9 8 10
0.946308 0.9700 nonperiodic-templates
3 8
12 9 13 4 10
12 17 12
0.066882 1.0000 nonperiodic-templates
5 7
12 10 6 11 17
12 14 6
0.122325 0.9900 nonperiodic-templates
8 8
15 7 6 11 15
8 7 15
0.202268 1.0000 nonperiodic-templates
11 13
6 16 8 9 10
9 10 8
0.616305 0.9800 nonperiodic-templates
15 12
10 13 9 7 6
16 8 4
0.122325 0.9900 nonperiodic-templates
8 17
7 7 13 11 7
12 11 7
0.319084 1.0000 nonperiodic-templates
10 12
7 12 9 10 10
13 13 4
0.616305 0.9700 nonperiodic-templates
15 11
7 6 9 14 8
11 6 13
0.366918 0.9900 nonperiodic-templates
13 8
8 6 16 16 6
10 9 8
0.181557 0.9800 nonperiodic-templates
12 7
9 5 11 13 11
16 9 7
0.383827 0.9800 nonperiodic-templates
6 10
8 7 12 9 11
12 16 9
0.574903 1.0000 nonperiodic-templates
9 5
11 11 12 13 4
12 12 11
0.474986 0.9900 nonperiodic-templates
9 7
15 6 7 9 15
12 9 11
0.419021 1.0000 nonperiodic-templates
9 9
9 10 11 7 11
12 10 12
0.987896 0.9900 nonperiodic-templates
17 8
11 14 6 8 8
10 7 11
0.319084 0.9800 nonperiodic-templates
8 9
11 7 9 10 9
21 10 6
0.080519 0.9800 nonperiodic-templates
9 11
12 14 12 17 6
4 8 7
0.122325 0.9800 nonperiodic-templates
9 8
12 13 14 7 10
11 7 9
0.798139 1.0000 nonperiodic-templates
10 14
7 11 14 6 9
11 8 10
0.699313 1.0000 nonperiodic-templates
13 13
11 7 8 5 4
17 10 12
0.102526 0.9900 nonperiodic-templates
6 8
13 10 14 11 11
9 9 9
0.834308 1.0000 nonperiodic-templates
6 18
12 12 7 11 9
7 12 6
0.171867 1.0000 nonperiodic-templates
6 9
8 11 10 8 12
14 13 9
0.779188 1.0000 nonperiodic-templates
12 4
9 11 11 12 13
6 12 10
0.574903 0.9800 nonperiodic-templates
9 18
7 10 12 9 8
10 5 12
0.262249 0.9900 nonperiodic-templates
11 12
11 8 12 9 14
8 7 8
0.851383 1.0000 nonperiodic-templates
6
10 7 15
9 7 10
11 11 14
0.554420 1.0000 nonperiodic-templates
10 12
3 13 13 13 12
9 7 8
0.366918 0.9900 nonperiodic-templates
14 10
9 13 8 9 14
9 7 7
0.678686 0.9900 nonperiodic-templates
11 14
10 11 6
12 7 9
5 15 0.366918
0.9700 nonperiodic-templates
21 11
10 6 10 8 9
6 12 7
0.045675 0.9500 * nonperiodic-templates
15 8
7 9 8 12 7
8 17 9
0.275709 0.9900 nonperiodic-templates
8 8 11 11
9 11 10
15 12 5
0.678686 1.0000 nonperiodic-templates
8 10
8 18 14 7 12
9 6 8
0.202268 0.9900 nonperiodic-templates
8 12
9 7 13 10 4
9 17 11
0.249284 1.0000 nonperiodic-templates
6 8
9 15 7
8 16 10
12 9 0.350485
0.9900 nonperiodic-templates
8 12
9 11 15 9 6
10 11 9
0.798139 1.0000 nonperiodic-templates
7 14
8 10 9 13 6
13 10 10
0.699313 1.0000 nonperiodic-templates
11 11
11 7 12
16 6 11
12 3 0.202268
0.9800 nonperiodic-templates
15 10
8 14 11 6 8
7 12 9
0.534146 0.9800 nonperiodic-templates
7 8
10 15 13 7 11
7 13 9
0.574903 1.0000 nonperiodic-templates
15 14
7 13 4 8
6 10 10
13 0.191687 1.0000
nonperiodic-templates
6 17
12 9 11 6 10
9 8 12
0.383827 1.0000 nonperiodic-templates
10 9
7 8 8 5 16
9 15 13
0.249284 1.0000 nonperiodic-templates
9 14
12 10 9 12 8 6
5 15 0.383827
1.0000 nonperiodic-templates
12 10
11 9 11 9 10
16 9 3
0.401199 0.9900 nonperiodic-templates
9 11
10 15 9 9 11
9 7 10
0.911413 0.9900 nonperiodic-templates
11 8
7 10 8 15 13 14 7
7 0.474986 1.0000
nonperiodic-templates
8 10
6 10 8 11 12
16 5 14
0.304126 0.9900 nonperiodic-templates
11 6
12 8 11 8 11
9 9 15
0.759756 0.9800 nonperiodic-templates
9 10
14 12 9 6 11
10 12 7
0.816537 0.9900 nonperiodic-templates
15 9
9 12 6 10 5
12 7 15
0.275709 1.0000 nonperiodic-templates
16 9
11 10 8 16 11
7 7 5
0.202268 0.9700 nonperiodic-templates
13 12
9 11 8 8 9
11 7 12
0.924076 0.9800 nonperiodic-templates
16 12
12 12 6 7 15
7 5 8
0.137282 0.9600 nonperiodic-templates
13 5
8 12 12 13 9
11 6 11
0.595549 0.9700 nonperiodic-templates
10 9
9 12 7 8 16
8 10 11 0.739918 0.9900
nonperiodic-templates
10 10
10 19 13 6 6
11 4 11
0.066882 0.9900 nonperiodic-templates
7 11
11 14 10 10 9
9 10 9
0.964295 0.9900 nonperiodic-templates
14 13
14 11 9 9 10
4 5 11
0.304126 0.9700 nonperiodic-templates
13 8
9 8 13 8 12
8 11 10
0.911413 1.0000 nonperiodic-templates
7 11
10 9 7 5 15
13 15 8
0.289667 1.0000 nonperiodic-templates
6 12
13 10 8 9 12
10 11 9
0.911413 0.9900 nonperiodic-templates
9 7
10 14 16 5 9
11 9 10
0.437274 1.0000 nonperiodic-templates
10 13
10 9 9 11 11
14 5 8
0.759756 1.0000 nonperiodic-templates
13 6
10 8 11 15 8
16 8 5
0.191687 0.9900 nonperiodic-templates
10 10
9 11 5 14 11
9 11 10
0.867692 0.9700 nonperiodic-templates
11 12
18 8 4 11 7
11 10 8
0.191687 0.9800 nonperiodic-templates
12 5
14 13 12 6 13
4 8 13
0.153763 0.9900 nonperiodic-templates
13 12
9 11 7 5 12
11 12 8
0.719747 0.9800 nonperiodic-templates
6 6
10 17 13 9 10
13 5 11
0.181557 0.9900 nonperiodic-templates
14 15
8 10 14 10 3
8 10 8
0.224821 0.9800 nonperiodic-templates
9 12
12 7 5 8 15
7 15 10
0.304126 0.9900 nonperiodic-templates
10 7
12 9 6 9 16
9 9 13
0.554420 0.9900 nonperiodic-templates
10 11
9 12 11 11 5
14 4 13
0.401199 0.9900 nonperiodic-templates
9 11
12 12 7 10 9
15 8 7
0.759756 1.0000 nonperiodic-templates
10 13
8 10 9 9 11
7 7 16
0.637119 0.9800 nonperiodic-templates
21 7
10 11 11 9 6
5 5 15
0.007694 0.9800 nonperiodic-templates
11 8
9 21 3 11 11
3 7 16
0.001296 0.9800 nonperiodic-templates
8 11
8 8 13 13 7
9 9 14
0.759756 1.0000 nonperiodic-templates
12 7
8 8 7 9 14
14 15 6
0.319084 0.9800 nonperiodic-templates
8 8
12 8 12 10 8
14 11 9
0.897763 0.9900 nonperiodic-templates
16 9
11 8 7 12 11
6 10 10
0.616305 0.9800 nonperiodic-templates
13 11
8 11 7 7 17
7 15 4
0.085587 0.9700 nonperiodic-templates
10 9
11 8 15 10 11
9 7 10
0.897763 0.9800 nonperiodic-templates
10 8
12 15 12 9 15
5 6 8
0.289667 0.9700 nonperiodic-templates
9 10
9 8 12 9 8
16 9 10
0.816537 0.9900 nonperiodic-templates
12 10
7 9 14 10 9
11 8 10
0.935716 0.9900 nonperiodic-templates
7 8
9 15 10 9 7
12 12 11
0.759756 0.9800 nonperiodic-templates
12 11
13 11 11 8 8
7 10 9
0.946308 0.9800 nonperiodic-templates
10 14
12 10 8 9 11
12 9 5
0.779188 0.9700 nonperiodic-templates
6 12
13 10 5 14 12
11 15 2
0.058984 0.9800 nonperiodic-templates
7 8
7 11 11 13 10
12 12 9
0.897763 1.0000 nonperiodic-templates
16 9
12 7 11 10 9
13 8 5
0.437274 0.9800 nonperiodic-templates
15 5
7 13 9 8 12
11 10 10
0.554420 0.9900 nonperiodic-templates
14 12
7 6 2 11 9
11 13 15
0.102526 0.9800 nonperiodic-templates
4 9
10 13 10 12 11
12 11 8
0.739918 0.9900 nonperiodic-templates
13 12
5 14 13 6 5
10 14 8
0.191687 0.9700 nonperiodic-templates
7 5
6 10 13 15 12
11 15 6
0.162606 1.0000 nonperiodic-templates
8 11
10 6 6 13 14
11 12 9
0.657933 0.9900 nonperiodic-templates
9 12
10 12 16 9 3
8 12 9
0.319084 1.0000 nonperiodic-templates
6 11
10 9 13 11 9
11 10 10
0.964295 0.9900 nonperiodic-templates
9 7
7 8 15
10 11 9
12 12 0.759756
0.9800 nonperiodic-templates
14 13
10 10 13 6 9
8 8 9
0.739918 1.0000 nonperiodic-templates
9 9
7 9 14 9 15
9 14 5
0.383827 0.9800 nonperiodic-templates
13 14
13 7 11
8 9 10
3 12 0.334538
0.9900 nonperiodic-templates
12 9
8 9 11 9 8
10 11 13
0.978072 1.0000 nonperiodic-templates
11 17
9 11 4 2 11
14 9 12
0.042808 1.0000 nonperiodic-templates
6 9 7 12
10 11 12
11 14 8
0.779188 1.0000 nonperiodic-templates
13 11
11 3 8 15 13
9 9 8
0.319084 0.9900 nonperiodic-templates
11 9
8 4 8 8 12
21 12 7
0.026948 1.0000 nonperiodic-templates
15 8
8 13 9
11 7 7
10 12 0.678686
0.9800 nonperiodic-templates
11 8
14 12 14 9 6
11 8 7
0.616305 1.0000 nonperiodic-templates
6 14
9 11 12 7 11
6 13 11
0.595549 0.9900 nonperiodic-templates
13 19
11 9 12
5 6 6
9 10 0.080519
0.9900 nonperiodic-templates
6 9
12 16 8 7 10
8 9 15
0.350485 1.0000 nonperiodic-templates
6 11
11 9 10 9 12
12 10 10
0.971699 0.9900 nonperiodic-templates
5 8
9 14 14 9
11 9 13
8 0.554420 0.9900
nonperiodic-templates
11 3
12 7 9 13 11
11 8 15
0.319084 0.9900 nonperiodic-templates
9 14
11 8 8 13 11
12 8 6
0.739918 1.0000 nonperiodic-templates
11 10
10 8 6 18 10
10 6 11
0.334538 0.9900 nonperiodic-templates
12 12
13 9 12 4 12
5 9 12
0.419021 0.9800 nonperiodic-templates
10 9
10 11 7 9 11
12 12 9
0.987896 1.0000 nonperiodic-templates
11 8
14 9 10 13 9 6
10 10 0.851383
0.9900 nonperiodic-templates
16 11
16 10 6 12 4
8 10 7
0.115387 0.9900 nonperiodic-templates
17 13
11 12 7 12 7
5 11 5
0.137282 0.9700 nonperiodic-templates
16 9
11 10 9 15 11
7 7
5 0.289667 0.9700
nonperiodic-templates
12 10
9 9 14 9 14
7 10 6
0.699313 0.9900 overlapping-templates
9 8
9 9 14 9 9
10 10 13
0.946308 1.0000 universal
13 11
9 13 12 7 9
9 10 7
0.883171 1.0000 apen
4 2
2 3 4 3 2
7 1 3
0.500934 1.0000 random-excursions
4 2
4 3 3 4 5
2 0 4
0.706149 0.9677 random-excursions
2 3
3 3 2 3 2
3 7 3
0.706149 0.9677 random-excursions
1 3
6 1 1 2 6
5 5 1
0.110952 1.0000 random-excursions
0 1
3 2 4 0 6
4 4 7
0.048716 1.0000 random-excursions
2 1
3 5 4 1 1
4 4 6
0.378138 1.0000 random-excursions
2 3
4 2 1
1 3 4
5 6 0.500934
1.0000 random-excursions
2 6
4 2 4 2 1
5 1 4
0.437274 0.9677 random-excursions
3 3
2 4 4 1 5
2 1 6
0.500934 1.0000 random-excursions-variant
2 2
5 0 3 7 4
1 0 7
0.015963 1.0000 random-excursions-variant
3 2
4 2 4 3 4
4 4 1
0.931952 1.0000 random-excursions-variant
2 4
2 6 2 1 2
5 4 3
0.568055 1.0000 random-excursions-variant
1 1
4 5 5
3 3 1
2 6 0.324180
1.0000
random-excursions-variant
1 3
2 1 5 6 5
2 5 1
0.232760 0.9677 random-excursions-variant
1 4
3 1 4 3 5
1 6 3
0.437274 1.0000 random-excursions-variant
1 3
3 2 8
3 2 2
5 2 0.195163
1.0000
random-excursions-variant
1 4
2 7 1 2 5
1 4 4
0.195163 1.0000 random-excursions-variant
2 2
4 3 3 3 5
2 2 5
0.888137 1.0000 random-excursions-variant
0 7
5 3 1 5 5
2 1 2
0.074177 1.0000 random-excursions-variant
3 5
6 2 5 2 1
3 3 1
0.437274 1.0000 random-excursions-variant
6 6
2 3 1 8 4
0 0 1
0.004861 1.0000 random-excursions-variant
7 4
3 3 4 5 0
1 1 3
0.162606 1.0000 random-excursions-variant
7 2
4 4 1 5 3
3 0 2
0.195163 1.0000 random-excursions-variant
5 5
1 7 2 2 3
1 1 4
0.162606 0.9355 * random-excursions-variant
4 5
5 4 3 1 1
3 3 2
0.706149 0.9032 * random-excursions-variant
3 4
6 3 4 2 1
3 3 2
0.772760 0.9355 * random-excursions-variant
12 9
7 9 8 15 13
8 8 11
0.719747 1.0000 serial
7 9
8 14 16 10 12
9 9 6
0.455937 0.9900 serial
3 17
8 13 7 9 13
12 10 8
0.129620 0.9900 linear-complexity
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
The minimum pass rate for each statistical test
with the exception of the random
excursion (variant) test is approximately =
0.960150 for a sample size = 100
binary sequences.
The minimum pass rate for the random excursion
(variant) test is approximately
0.936388 for a sample size = 31 binary sequences.
For further guidelines construct a probability
table using the MAPLE program
provided in the addendum section of the
documentation.
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
QCG2.DAT
------------------------------------------------------------------------------
RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE
PROPORTION OF PASSING SEQUENCES
------------------------------------------------------------------------------
------------------------------------------------------------------------------
C1 C2
C3 C4 C5 C6 C7
C8 C9 C10 P-VALUE
PROPORTION STATISTICAL TEST
------------------------------------------------------------------------------
100 0 0
0 0 0 0 0 0 0
0.000000 * 0.0000 * frequency
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 block-frequency
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * cumulative-sums
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * cumulative-sums
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * runs
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * longest-run
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * rank
100 0 0
0 0 0 0 0 0
0 0.000000 * 0.0000 * fft
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 0 0
1 0 99
0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 1 0
0 0 99
0.000000 * 1.0000
nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 1 99
0.000000 * 1.0000
nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0
0 0 0 0
100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0 0 0
0 0 0
0 1 99
0.000000 * 1.0000
nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0 0 0
0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0
0 0 0
0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0
0 0 0
0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 0 0
0 1 99
0.000000 * 1.0000
nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 1 0
0 0 99
0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 0 0
0 1 99
0.000000 * 1.0000
nonperiodic-templates
0 0
0 0 0
0 0 0 0
100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0
0 0 0
0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0 0 0
0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0
0 0 0 0
100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0
0 0 0 0
100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 0 0
0 1 99
0.000000 * 1.0000
nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
0 0
0 0 0 0 0
0 0 100 0.000000 * 1.0000 nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * nonperiodic-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * overlapping-templates
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * universal
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * apen
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions
0 0 0 0
0 0 0
0 0 0
1.000000 -1.#IND * random-excursions
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions-variant
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions-variant
0 0
0 0 0 0
0 0 0
0 1.000000 -1.#IND *
random-excursions-variant
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions-variant
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions-variant
0 0 0 0
0 0 0
0 0 0
1.000000 -1.#IND * random-excursions-variant
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions-variant
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions-variant
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions-variant
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions-variant
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions-variant
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions-variant
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions-variant
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions-variant
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions-variant
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions-variant
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions-variant
0 0
0 0 0 0 0
0 0 0
1.000000 -1.#IND * random-excursions-variant
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * serial
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * serial
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0000 * linear-complexity
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
The minimum pass rate for each statistical test
with the exception of the random
excursion (variant) test is approximately =
0.960150 for a sample size = 100
binary sequences.
The minimum pass rate for the random excursion
(variant) test is approximately
-1.#INF00 for a sample size = 0 binary sequences.
For further guidelines construct a probability
table using the MAPLE program
provided in the addendum section of the
documentation.
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
BBS.DAT
------------------------------------------------------------------------------
RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE
PROPORTION OF PASSING SEQUENCES
------------------------------------------------------------------------------
------------------------------------------------------------------------------
C1 C2
C3 C4 C5
C6 C7 C8 C9
C10 P-VALUE PROPORTION
STATISTICAL TEST
------------------------------------------------------------------------------
9 12
11 12 6 4 12
4 18 12
0.048716 0.9900 frequency
10 9
11 10 10 14 7 13
12 4 0.574903
1.0000 block-frequency
12 10
12 7 15 5 11
8 8 12
0.534146 0.9900 cumulative-sums
13 5
13 7 11 11 9
6 12 13
0.494392 0.9900 cumulative-sums
10 10
12 8 11 7 13
8 12 9
0.935716 0.9900 runs
5 12
17 7 10 7 6
12 16 8
0.075719 1.0000 longest-run
12 12
10 7 9 7 9
5 19 10
0.145326 0.9900 rank
17 12
14 11 5 7 13
5 9 7
0.096578 0.9500 * fft
9 5
7 14 17 11 10 10 4
13 0.102526 0.9900
nonperiodic-templates
17 6
10 7 10 13 11
5 11 10
0.275709 0.9700 nonperiodic-templates
15 8
11 12 5 9 8
13 9 10
0.595549 1.0000 nonperiodic-templates
12 12
11 9 10 9 17
7 7 6
0.401199 0.9800 nonperiodic-templates
9 14
10 5 11 9 12
6 14 10
0.534146 0.9800 nonperiodic-templates
7 10
10 8 8 11 9
14 16 7
0.534146 0.9900 nonperiodic-templates
7 12
10 15 5 9 7
12 16 7 0.202268
1.0000 nonperiodic-templates
7 16
14 11 12 4 9
4 8 15
0.051942 0.9900 nonperiodic-templates
7 10
13 8 6 11 14
6 14 11
0.455937 0.9900 nonperiodic-templates
9 11
8 13 10 7 12
7 11 12 0.897763 0.9900
nonperiodic-templates
9 11
4 12 11 14 13
8 10 8
0.574903 1.0000 nonperiodic-templates
10 12
14 9 11 10 11
7 7 9
0.897763 1.0000 nonperiodic-templates
4 9
12 13 10 13 7
13 9 10
0.554420 0.9900 nonperiodic-templates
4 12
8 9 14 14 11
8 7 13
0.350485 0.9700 nonperiodic-templates
9 4
8 12 11 10 16
11 11 8
0.455937 0.9900 nonperiodic-templates
15 7
12 10 4 10 18
10 8 6
0.071177 0.9700 nonperiodic-templates
19 9
12 12 10 5 10
9 7 7
0.145326 0.9900 nonperiodic-templates
9 9
11 10 8 7 12
11 12 11
0.978072 0.9900 nonperiodic-templates
12 10
13 11 10 6 10
7 11 10
0.911413 0.9900 nonperiodic-templates
7 12
11 8 10 5 12
18 7 10
0.213309 1.0000 nonperiodic-templates
11 7
14 9 12 11 8
9 11 8
0.897763 0.9900 nonperiodic-templates
8 7
10 10 14 9 12
11 8 11
0.911413 0.9900 nonperiodic-templates
12 8
17 7 12 9 9
7 5 14
0.202268 0.9900 nonperiodic-templates
11 11
11 13 7 13 6
7 11 10
0.779188 1.0000 nonperiodic-templates
12 14
7 14 10 4 7
17 7 8
0.085587 0.9600 nonperiodic-templates
7 5
11 12 13 10 8
8 11 15
0.514124 1.0000 nonperiodic-templates
7 10
17 9 8 9 11
13 7 9
0.494392 0.9900 nonperiodic-templates
13 7
12 7 4 15 10
6 12 14
0.171867 0.9800 nonperiodic-templates
13 8
15 6 10 9 8
14 5 12
0.319084 0.9900 nonperiodic-templates
11 4
12 7 8 14 6
19 6 13
0.023545 0.9800 nonperiodic-templates
8 8
11 14 9 9 11
13 9 8
0.897763 1.0000 nonperiodic-templates
8 10
5 14 11 10 8
11 12 11
0.779188 0.9900 nonperiodic-templates
8 15
9 8 11 10 12
5 15 7
0.366918 0.9800 nonperiodic-templates
8 8
6 5 8 11 10
11 16 17
0.122325 0.9900 nonperiodic-templates
5 10
8 8 11 15 13
15 10 5
0.224821 1.0000 nonperiodic-templates
14 8
9 13 11 8 7
12 10 8
0.816537 0.9700 nonperiodic-templates
6 9
10 11 8 12 13
7 10 14
0.739918 1.0000 nonperiodic-templates
11 9
8 11 12 14 8
9 7 11
0.897763 1.0000 nonperiodic-templates
13 9
14 8 7 9 13
5 18 4
0.042808 0.9900 nonperiodic-templates
12 14
11 10 5 6 10
8 11 13
0.574903 1.0000 nonperiodic-templates
11 6
9 11 8 15 10
12 11 7
0.719747 0.9800 nonperiodic-templates
8 9
12 16 8 6 10
10 8 13
0.554420 0.9900 nonperiodic-templates
6 12
9 7 8 11 8
12 12 15
0.616305 0.9900 nonperiodic-templates
11 13
10 10 11 14 4
7 10 10
0.616305 1.0000 nonperiodic-templates
10 12
10 11 6 10 10
9 13 9
0.955835 0.9800 nonperiodic-templates
11 11
9 6 12 10 5
10 17 9
0.366918 0.9800 nonperiodic-templates
8 8
9 15 8 11 11
7 4 19
0.055361 0.9800 nonperiodic-templates
12 8
12 9 15 8 14
4 7 11
0.319084 0.9900 nonperiodic-templates
8 11
8 5 10 11 16
10 7 14
0.383827 0.9900 nonperiodic-templates
7 8
9 15 8
7 11 14
12 9 0.595549
1.0000 nonperiodic-templates
8 9
13 9 5 11 11
8 11 15
0.616305 0.9800 nonperiodic-templates
7 9
6 8 13 10 9
6 17 15
0.162606 0.9900 nonperiodic-templates
13 7
8 8 13
6 10 9
7 19 0.115387
1.0000 nonperiodic-templates
6 7
8 9 13 8 16
11 10 12
0.494392 1.0000 nonperiodic-templates
11 12
7 4 10 15 11
15 7 8
0.249284 0.9800 nonperiodic-templates
5 8 16 9
11 9 11
13 10 8
0.514124 0.9900 nonperiodic-templates
9 6
8 14 13 12 9
8 11 10
0.779188 0.9800 nonperiodic-templates
9 16
11 10 7 11 6
14 9 7
0.437274 0.9800 nonperiodic-templates
9 13
10 12 8
12 9 9
7 11 0.946308
1.0000 nonperiodic-templates
18 2
6 9 14 10 5
11 13 12
0.017912 0.9900 nonperiodic-templates
10 9
8 12 7 14 11
8 11 10
0.911413 0.9900 nonperiodic-templates
12 7
12 6 12
12 12 9
9 9 0.851383
0.9900 nonperiodic-templates
8 7
15 6 10 6 9
16 13 10
0.236810 1.0000 nonperiodic-templates
11 12
9 13 11 6 11
8 14 5
0.554420 0.9900 nonperiodic-templates
8 11
18 9 10 12 11
7 7 7
0.334538 1.0000 nonperiodic-templates
10 11
11 11 7 9 10
9 11 11
0.996335 1.0000 nonperiodic-templates
7 18
13 6 8 9 14
6 8 11
0.122325 0.9900 nonperiodic-templates
16 8
10 11 9 15 8 9
6 8 0.419021
0.9700 nonperiodic-templates
11 12
10 13 8 10 7
9 10 10
0.971699 1.0000 nonperiodic-templates
12 12
11 8 11 11 10
10 5 10
0.911413 0.9700 nonperiodic-templates
19 10
7 8 14 7 8 10 6
11 0.122325 0.9600
nonperiodic-templates
6 8
6 14 18 9 11
10 8 10
0.202268 1.0000 nonperiodic-templates
8 7
7 10 10 8 14
18 10 8
0.275709 0.9800 nonperiodic-templates
11 8
7 9 8 9 9
17 10 12
0.595549 0.9800 nonperiodic-templates
9 5
7 14 17 11 10
10 4 13
0.102526 0.9900 nonperiodic-templates
12 10
13 5 11 8 13
12 5 11
0.514124 0.9700 nonperiodic-templates
12 7
17 14 8 7 10
8 7 10
0.319084 0.9900 nonperiodic-templates
12 11
10 12 12 8 5
10 9 11
0.883171 0.9600 nonperiodic-templates
8 9
12 8 11 16 14
8 7 7
0.455937 0.9800 nonperiodic-templates
7 13
10 15 12 9 7
9 15 3 0.153763 1.0000
nonperiodic-templates
10 19
12 8 6 11 6
13 12 3
0.030806 0.9900 nonperiodic-templates
8 11
9 13 6 9 10
10 8 16
0.616305 1.0000 nonperiodic-templates
7 9
12 17 12 16 4
6 9 8
0.066882 1.0000 nonperiodic-templates
9 18
6 14 7 12 6
8 11 9
0.153763 1.0000 nonperiodic-templates
10 4
11 15 12 9 11
7 8 13
0.437274 0.9900 nonperiodic-templates
7 11
8 14 8 9 12
11 10 10
0.911413 0.9900 nonperiodic-templates
13 8
12 7 10 6 9
10 13 12
0.779188 1.0000 nonperiodic-templates
11 9
5 5 8 12 12
14 10 14
0.383827 1.0000 nonperiodic-templates
13 9
11 11 9 7 15
6 13 6
0.455937 0.9900 nonperiodic-templates
12 7
12 8 10 14 11
9 8 9
0.883171 1.0000 nonperiodic-templates
9 9
8 14 10 8 9
12 11 10
0.955835 0.9700 nonperiodic-templates
9 10
13 11 10 8 10
6 13 10
0.911413 0.9800 nonperiodic-templates
15 7
8 12 15 6 12
9 6 10
0.319084 1.0000 nonperiodic-templates
4 11
10 14 6 12 6
15 11 11
0.236810 1.0000 nonperiodic-templates
7 9
8 12 8 16 10
6 13 11
0.494392 0.9900 nonperiodic-templates
9 10
6 11 10 12 14
9 9 10
0.911413 0.9900 nonperiodic-templates
10 12
9 10 9 14 14
10 3 9
0.455937 0.9900 nonperiodic-templates
9 9
8 10 10 10 11
11 8 14
0.971699 0.9800 nonperiodic-templates
7 7
7 15 11 10 6
18 10 9
0.145326 1.0000 nonperiodic-templates
17 8
9 12 7 12 7
8 10 10
0.494392 0.9800 nonperiodic-templates
12 7
9 8 15 12 9
11 6 11
0.678686 1.0000 nonperiodic-templates
10 10
4 14 15 15 9
9 6 8
0.191687 1.0000 nonperiodic-templates
12 10
11 12 6 8 11
9 11 10
0.955835 1.0000 nonperiodic-templates
11 5
12 14 9 10 10
5 12 12
0.534146 1.0000 nonperiodic-templates
15 7
11 10 8 9 7
8 13 12
0.678686 0.9700 nonperiodic-templates
7 11
8 9 11 12 5
11 16 10
0.514124 1.0000 nonperiodic-templates
11 6
7 7 12 14 12
15 6 10
0.350485 0.9900 nonperiodic-templates
10 12
12 10 8 11 9
10 10 8
0.994250 0.9900 nonperiodic-templates
8 10
11 11 10 9 15
11 5 10
0.759756 1.0000 nonperiodic-templates
7 9
12 20 12 9 11
3 10 7
0.037566 1.0000 nonperiodic-templates
16 9
9 7 15 7 6
11 10 10
0.366918 0.9900 nonperiodic-templates
10 7
7 8 14 7 14
9 8 16
0.319084 0.9900 nonperiodic-templates
9 10
12 9 6 14 11
8 12 9
0.851383 1.0000 nonperiodic-templates
6 13
15 13 9 8 4
12 9 11
0.304126 0.9900 nonperiodic-templates
5 10
8 15 9 6 9
12 11 15
0.334538 1.0000 nonperiodic-templates
8 7
13 11 12 14 7
7 13 8
0.595549 1.0000 nonperiodic-templates
12 12
8 12 15
9 6 7
10 9 0.657933
0.9900 nonperiodic-templates
13 8
11 5 11 7 10
19 7 9
0.122325 1.0000 nonperiodic-templates
15 8
11 13 3 12 10
5 10 13
0.181557 0.9900 nonperiodic-templates
12 5 8
16 6 14
10 9 13
7 0.213309 0.9800
nonperiodic-templates
12 13
8 8 11 10 10
9 6 13
0.851383 0.9900 nonperiodic-templates
9 13
12 8 7 12 7
14 11 7
0.678686 1.0000 nonperiodic-templates
8 10 6 14
14 6 13
11 12 6
0.366918 1.0000 nonperiodic-templates
8 7
14 9 9 8 8
12 12 13
0.779188 0.9800 nonperiodic-templates
11 7
15 7 14 15 11
10 7 3
0.108791 0.9900 nonperiodic-templates
7 13
16 6 11
10 8 9
9 11 0.554420
0.9900 nonperiodic-templates
10 12
12 11 6 9 4
10 12 14
0.514124 1.0000 nonperiodic-templates
9 7
12 6 14 13 7
9 12 11
0.637119 1.0000 nonperiodic-templates
8 9
11 8 6 8
11 9 16
14 0.494392 0.9800
nonperiodic-templates
6 10
9 14 11 14 10
9 9 8
0.779188 0.9900 nonperiodic-templates
14 7
8 11 5 14 10
8 12 11
0.534146 0.9800 nonperiodic-templates
10 15
9 13 11 10 5
6 12 9
0.514124 1.0000 nonperiodic-templates
4 9
5 8 22 9 10
7 14 12
0.004301 1.0000 nonperiodic-templates
16 10
9 12 7 6 8
9 12 11
0.574903 0.9700 nonperiodic-templates
4 14
13 13 7 11 12 7
8 11 0.366918
0.9800 nonperiodic-templates
2 14
9 12 8 9 12
15 11 8
0.191687 0.9900 nonperiodic-templates
6 7
10 13 8 9 9
16 10 12
0.534146 1.0000 nonperiodic-templates
10 8
9 10 9 7 11 11 14
11 0.946308 0.9900
nonperiodic-templates
7 12
11 8 10 7 10
13 15 7
0.637119 0.9700 nonperiodic-templates
13 9
8 4 10 9 9
11 12 15
0.514124 0.9600 nonperiodic-templates
9 6
5 10 12 9 13
12 12 12
0.657933 0.9900 nonperiodic-templates
12 9
6 11 11 13 9
8 10 11
0.924076 0.9600 nonperiodic-templates
13 7
14 7 10 6 9
10 15 9
0.474986 0.9800 nonperiodic-templates
10 11
15 6 12 10 9
9 11 7 0.759756
0.9900 nonperiodic-templates
9 14
9 15 9 10 9
7 8 10
0.759756 0.9900 nonperiodic-templates
13 10
12 11 7 8 8
8 16 7
0.534146 1.0000 nonperiodic-templates
7 8
5 11 9 19 12
9 9 11 0.171867 0.9900
nonperiodic-templates
11 8
7 9 8 9 9
17 10 12
0.595549 0.9800 nonperiodic-templates
16 9
7 8 14 9 7
10 6 14
0.289667 0.9500 * overlapping-templates
11 10
12 9 5 9 16
7 14 7
0.334538 0.9700 universal
9 13
12 10 6 9 12
11 7 11
0.867692 0.9800 apen
4 3
4 5 5 12 5
4 11 9
0.074177 1.0000 random-excursions
2 2
4 5 10 8 6
8 10 7
0.162606 0.9839 random-excursions
5 9
1 5 7
3 6 10
11 5 0.100508
1.0000 random-excursions
8 5
4 4 10 6 9
6 6 4
0.637119 0.9677 random-excursions
7 3
11 6 10 4 6
6 5 4
0.350485 0.9839 random-excursions
7 6
7 4 7
5 6 10
3 7 0.772760
1.0000 random-excursions
6 6
4 6 3 5 11
7 5 9
0.500934 1.0000 random-excursions
8 5
5 3 9 6 6
5 5 10
0.637119 0.9839 random-excursions
9 2
9 9 9 4 7
4 3 6
0.232760 0.9839 random-excursions-variant
6 8
10 6 9 5 2
7 6 3
0.407091 0.9839 random-excursions-variant
7 8
6 10 3 3 8
5 6 6
0.602458 0.9839 random-excursions-variant
9 4
6 10 5 3 6
8 5 6
0.602458 0.9839 random-excursions-variant
7 3
7 8 11 1 8
7 4 6
0.195163 0.9839 random-excursions-variant
7 2
7 5 9 3 8
9 3 9
0.253551 0.9839 random-excursions-variant
5 3
5 4 8
4 9 6
10 8 0.468595
1.0000
random-excursions-variant
5 4
5 4 6 7 5
7 10 9
0.706149 0.9839 random-excursions-variant
2 6
8 5 7 7 9
5 8 5
0.706149 1.0000 random-excursions-variant
8 9 5 7
5 8 5
4 7 4
0.834308 0.9839 random-excursions-variant
9 4
9 5 7 6 6
6 4 6
0.862344 0.9677 random-excursions-variant
5 9
6 6 10 5 7
7 5 2
0.568055 0.9516 * random-excursions-variant
7 5
8 6 7
7 6 4
4 8 0.949602
0.9839
random-excursions-variant
8 5
7 7 5 5 7
6 8 4
0.964295 0.9677 random-excursions-variant
7 5
9 4 11 9 5
1 5 6
0.178278 0.9839 random-excursions-variant
6 6
7 6 8 6 6
9 5 3
0.911413 0.9839 random-excursions-variant
5 9
5 4 8 7 5
4 8 7
0.834308 0.9677 random-excursions-variant
6 7
5 6 7 4 6
9 4 8
0.911413 0.9677 random-excursions-variant
7 12
7 8 13 13 9
6 13 12
0.595549 1.0000 serial
7 9
11 8 8 8 11
16 15 7
0.401199 1.0000 serial
7 12
13 9 8 11 7
11 11 11
0.911413 1.0000 linear-complexity
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
The minimum pass rate for each statistical test
with the exception of the random
excursion (variant) test is approximately =
0.960150 for a sample size = 100
binary sequences.
The minimum pass rate for the random excursion
(variant) test is approximately
0.952091 for a sample size = 62 binary sequences.
For further guidelines construct a probability
table using the MAPLE program
provided in the addendum section of the
documentation.
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
CCG.DAT
------------------------------------------------------------------------------
RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE
PROPORTION OF PASSING SEQUENCES
------------------------------------------------------------------------------
------------------------------------------------------------------------------
C1 C2
C3 C4 C5 C6 C7
C8 C9 C10 P-VALUE
PROPORTION STATISTICAL TEST
------------------------------------------------------------------------------
60 8
6 5 8 4 4
2 1 2
0.000000 * 0.7200 * frequency
9 9
6 13 12 10 10
7 13 11
0.834308 0.9800 block-frequency
58 8
4 8 4 4 5
3 5 1 0.000000
* 0.7300 * cumulative-sums
57 10
6 6 2 5 3
5 4 2
0.000000 * 0.7300 *
cumulative-sums
64 11
13 1 5 2 1
1 1 1
0.000000 * 0.7000 * runs
9 9
8 9 7 11 14
17 10 6
0.366918 0.9800 longest-run
11 14
6 10 16 11 6
4 9 13
0.153763 0.9900 rank
28 12
16 6 3 9 5
7 2 12
0.000000 * 0.9400 * fft
7 9
17 10 8 9 8
7 14 11
0.401199 0.9800 nonperiodic-templates
12 7
5 8 10 13 10
13 13 9
0.637119 0.9900 nonperiodic-templates
14 9
10 13 12 10 8
6 10 8
0.798139 0.9800 nonperiodic-templates
16 11
6 10 11 5 10
13 11 7
0.366918 0.9900 nonperiodic-templates
15 14
15 13 9 9 4
8 9 4 0.080519 1.0000
nonperiodic-templates
14 11
10 12 6 12 5
13 9 8
0.534146 0.9900 nonperiodic-templates
18 7
9 15 4 8 10
14 8 7
0.051942 0.9700 nonperiodic-templates
11 11
9 8 5 15 9
11 13 8
0.616305 1.0000 nonperiodic-templates
8 9
7 14 10 13 8
8 7 16
0.419021 0.9900 nonperiodic-templates
13 11
5 11 10 11 12
11 7 9
0.816537 0.9600 nonperiodic-templates
14 14
9 15 13 7 6
9 10 3
0.115387 0.9800
nonperiodic-templates
12 15
9 13 8 5 12
14 8 4
0.171867 0.9700 nonperiodic-templates
6 9
13 10 7 11 13
11 11 9
0.851383 1.0000 nonperiodic-templates
37 18
9 11 6 4 7
2 2 4
0.000000 * 0.9200 *
nonperiodic-templates
16 10
9 5 14 12 5
15 6 8
0.085587 0.9900 nonperiodic-templates
14 5
11 8 5 13 12
12 10 10
0.455937 0.9800 nonperiodic-templates
9 6
11 16 9 10 6
12 13 8
0.455937 0.9900 nonperiodic-templates
18 7
11 11 14 9 5
14 3 8
0.028817 0.9700 nonperiodic-templates
20 10
5 10 10 6 5
13 12 9
0.035174 0.9800 nonperiodic-templates
15 15
8 14 5 8 11
10 7 7
0.224821 0.9900 nonperiodic-templates
11 7
10 9 9 11 12
12 8 11
0.978072 1.0000 nonperiodic-templates
9 10
9 10 7 11 12
8 15 9
0.867692 1.0000 nonperiodic-templates
11 10
9 10 15 12 11
5 9 8
0.719747 1.0000 nonperiodic-templates
10 15
12 11 5 8 10
13 8 8
0.574903 0.9900 nonperiodic-templates
5 13
7 11 5 10 14
10 11 14
0.334538 1.0000 nonperiodic-templates
34 18
9 9 9 10 2
5 1 3
0.000000 * 0.9000 * nonperiodic-templates
7 16
13 6 11 9 9
15 4 10
0.145326 0.9900 nonperiodic-templates
33 17
10 9 11 5 4
5 2 4
0.000000 * 0.9000 *
nonperiodic-templates
22 17
7 13 9 7 7
4 6 8
0.000757 0.9900 nonperiodic-templates
11 12
12 8 8 10 16
7 8 8
0.637119 0.9900 nonperiodic-templates
11 14
11 12 7 16 5
10 8 6
0.262249 0.9900 nonperiodic-templates
18 16
8 20 5 5 11
6 8 3
0.000170 0.9800 nonperiodic-templates
11 7
9 6 10 14 9
14 11 9
0.719747 0.9900 nonperiodic-templates
11 11
11 8 4 11 10
11 13 10
0.798139 0.9800 nonperiodic-templates
7 11
6 13 7 10 13
8 14 11
0.595549 1.0000 nonperiodic-templates
14 14
10 8 12 7 12
10 7 6
0.554420 0.9800 nonperiodic-templates
9 10
11 12 8 12 8
10 13 7
0.935716 0.9900 nonperiodic-templates
14 16
8 7 8 14 10
8 7 8
0.334538 0.9800 nonperiodic-templates
11 9
16 10 13 13 9
9 6 4
0.275709 0.9900 nonperiodic-templates
11 8
6 7 10 10 8
17 14 9
0.350485 0.9800 nonperiodic-templates
13 4
12 13 10 9 13
8 13 5
0.304126 1.0000 nonperiodic-templates
14 12
12 13 9
7 7 9
8 9 0.759756
0.9900 nonperiodic-templates
7 11
8 9 14 9 11
12 10 9
0.924076 1.0000 nonperiodic-templates
16 3
11 14 6 13 9
10 10 8
0.153763 0.9700 nonperiodic-templates
7 9
12 6 11
9 18 7
11 10 0.304126
0.9800 nonperiodic-templates
28 13
8 7 12 8 8
8 4 4
0.000002 * 0.9200 *
nonperiodic-templates
27 18
12 10 9 5 5
5 3 6
0.000000 * 0.9600
nonperiodic-templates
5 8 8 11
16 12 9
7 14 10
0.350485 0.9900 nonperiodic-templates
20 18
12 13 6 12 6
4 3 6
0.000253 0.9900 nonperiodic-templates
23 17
10 7 10 9 7
6 5 6
0.000555 0.9600 nonperiodic-templates
11 8
9 13 15
8 8 8
14 6 0.494392
0.9900 nonperiodic-templates
5 10
14 13 15 6 13
11 5 8
0.162606 1.0000 nonperiodic-templates
11 11
13 7 4 10 15
8 10 11
0.474986 1.0000 nonperiodic-templates
7 9
13 16 8
12 10 8
6 11 0.494392
1.0000 nonperiodic-templates
22 12
13 6 13 11 6
7 4 6
0.002043 0.9800 nonperiodic-templates
10 12
12 5 7 6 11
14 16 7
0.213309 0.9900 nonperiodic-templates
9 15
12 10 12 6 11
5 12 8
0.494392 1.0000 nonperiodic-templates
8 8
12 12 12 11 11
7 7 12
0.883171 0.9800 nonperiodic-templates
10 8
4 16 12 7 10
9 8 16
0.162606 0.9800 nonperiodic-templates
10 14
10 14 11 3 9
8 13 8
0.350485 0.9800 nonperiodic-templates
11 9
9 8 11 13 12
10 12 5
0.834308 0.9800 nonperiodic-templates
19 5
15 12 5 7 16
10 4 7
0.002971 0.9800 nonperiodic-templates
11 13
11 10 11 9 7 10 11
7 0.955835 0.9900
nonperiodic-templates
12 12
8 10 13 7 12
8 7 11
0.851383 0.9800 nonperiodic-templates
9 13
11 8 12 13 9
12 6 7
0.759756 0.9700 nonperiodic-templates
12 17
9 10 7 10 11
7 8 9
0.554420 0.9600 nonperiodic-templates
15 8
9 20 6 10 11
5 5 11
0.019188 0.9800 nonperiodic-templates
22 8
11 5 12 8 13
11 10 0
0.000600 0.9500 * nonperiodic-templates
18 19
12 9 8 9 8
7 3 7
0.007160 0.9200 * nonperiodic-templates
9 12
14 11 7 7 5
8 14 13
0.401199 0.9900 nonperiodic-templates
13 7
13 8 10 5 7
12 17 8
0.202268 0.9800 nonperiodic-templates
28 16
12 10 9 7 5
5 4 4 0.000000
* 0.9400 * nonperiodic-templates
25 14
5 17 9 8 9
5 6 2
0.000003 * 0.9800
nonperiodic-templates
6 11
7 11 10 6 13
3 17 16
0.028817 0.9900 nonperiodic-templates
7 9
17 10 8 9 8
7 14 11
0.401199 0.9800 nonperiodic-templates
11 9
11 11 12 8 14
10 6 8
0.851383 0.9800 nonperiodic-templates
7 5
8 12 9 17 12
15 9 6
0.129620 1.0000 nonperiodic-templates
12 11
13 7 12 13 9
5 8 10
0.678686 0.9900 nonperiodic-templates
9 11
15 9 9 10 7
6 12 12
0.719747 0.9800 nonperiodic-templates
11 12
3 13 8 11 9
13 11 9
0.534146 0.9900 nonperiodic-templates
11 9
9 13 12 12 10
10 8 6
0.911413 1.0000 nonperiodic-templates
10 8
10 7 7 7 19
8 13 11
0.181557 0.9800 nonperiodic-templates
10 8
10 11 9 8 15
10 11 8
0.911413 0.9900 nonperiodic-templates
10 12
12 9 19 11 5
11 7 4
0.062821 1.0000 nonperiodic-templates
6 9
9 13 10 13 12
13 6 9
0.678686 1.0000 nonperiodic-templates
9 19
13 10 4 9 10
12 7 7
0.090936 1.0000 nonperiodic-templates
14 14
12 7 9 9 10
8 7 10
0.739918 1.0000 nonperiodic-templates
9 13
20 5 8 7 9
13 10 6
0.042808 1.0000 nonperiodic-templates
5 10
17 12 10 6 11
12 7 10
0.289667 1.0000 nonperiodic-templates
15 14
12 11 5 4 12
7 9 11
0.202268 0.9700 nonperiodic-templates
11 8
13 10 13 3 15
9 14 4
0.090936 0.9900 nonperiodic-templates
30 12
13 6 4 9 8
7 7 4
0.000000 * 0.9600
nonperiodic-templates
9 10
7 11 13 7 15
9 8 11
0.739918 0.9900 nonperiodic-templates
11 8
10 11 11 17 8
4 6 14
0.171867 0.9900 nonperiodic-templates
13 9
8 10 8 10 14
11 10 7
0.883171 0.9900 nonperiodic-templates
8 11
8 13 10 14 6
10 13 7
0.657933 1.0000 nonperiodic-templates
11 9
7 10 6 8 9
15 13 12
0.637119 0.9900 nonperiodic-templates
17 10
11 9 10 9 8
5 11 10
0.514124 0.9800 nonperiodic-templates
7 12
8 6 8 15 8
8 16 12
0.275709 0.9900 nonperiodic-templates
8 7
16 13 11 7 3
9 12 14
0.129620 0.9900 nonperiodic-templates
6 11
11 10 11 16 10
5 10 10
0.534146 1.0000 nonperiodic-templates
7 14
8 13 9 7 9
10 11 12
0.798139 1.0000 nonperiodic-templates
10 17
8 11 7 2 11
11 14 9
0.102526 1.0000 nonperiodic-templates
10 20
10 10 6 10 7
8 13 6
0.080519 0.9800 nonperiodic-templates
12 8
8 10 13 6 15
8 10 10
0.678686 0.9700 nonperiodic-templates
12 8
10 9 12 10 10
14 10 5
0.798139 0.9700 nonperiodic-templates
2 20
4 10 6 9 16
14 12 7
0.000883 0.9900 nonperiodic-templates
13 7
11 10 12 12 8
5 10 12
0.739918 0.9900 nonperiodic-templates
6 6
12 10 9
14 11 15
9 8 0.494392
1.0000 nonperiodic-templates
4 12
12 6 11 10 12
11 9 13
0.574903 1.0000 nonperiodic-templates
15 11
11 9 15 6 9
6 13 5
0.213309 0.9900 nonperiodic-templates
9 9 12
15 13 8
13 7 6
8 0.514124 1.0000
nonperiodic-templates
24 14
9 6 12 10 7
8 5 5
0.000513 0.9300 * nonperiodic-templates
17 17
11 6 14 13 7
5 4 6
0.007160 0.9800 nonperiodic-templates
12 11 11 7
14 10 9
4 13 9
0.554420 0.9600 nonperiodic-templates
24 9
10 12 11 10 4
6 5 9
0.000954 0.9300 * nonperiodic-templates
14 6
13 10 10 7 10
12 9 9
0.779188 0.9900 nonperiodic-templates
8 12
12 10 12
13 9 12
4 8 0.637119
0.9800 nonperiodic-templates
9 13
9 12 7 7 14
14 5 10
0.437274 0.9900 nonperiodic-templates
11 13
9 8 9 8 12
15 9 6
0.678686 0.9900 nonperiodic-templates
7 14
6 14 10 14
9 9 10
7 0.494392 0.9900
nonperiodic-templates
13 19
13 9 11 12 8
5 5 5
0.030806 0.9800 nonperiodic-templates
5 10
9 15 10 5 11
12 13 10
0.437274 1.0000 nonperiodic-templates
13 8
10 8 9 11 10
8 12 11
0.971699 0.9900 nonperiodic-templates
9 7
9 8 14 14 9
12 10 8
0.779188 0.9900 nonperiodic-templates
9 10
11 7 12 11 12
9 8 11
0.978072 0.9900 nonperiodic-templates
8 12
9 12 10 10 10 11
9 9 0.996335
0.9900 nonperiodic-templates
8 7
12 6 16 7 15
9 9 11
0.304126 0.9900 nonperiodic-templates
9 6
8 12 12 10 9
10 13 11
0.911413 1.0000 nonperiodic-templates
21 17
9 15 6 9 7 5 6
5 0.000700 0.9500 *
nonperiodic-templates
12 13
10 7 12 10 9
10 7 10
0.935716 0.9900 nonperiodic-templates
16 11
17 7 6 13 9
11 5 5
0.045675 1.0000 nonperiodic-templates
12 10
9 6 13 15 6
13 9 7
0.437274 0.9900 nonperiodic-templates
8 12
7 11 13 7 13
10 8 11
0.834308 1.0000 nonperiodic-templates
8 9
9 14 9 4 17
11 14 5
0.090936 0.9900 nonperiodic-templates
8 7
9 6 13 7 5
16 14 15 0.090936
1.0000 nonperiodic-templates
7 9
7 13 10 7 15
8 13 11
0.574903 1.0000 nonperiodic-templates
6 9
13 9 10 7 12
11 11 12
0.867692 0.9900 nonperiodic-templates
20 11
10 10 5 15 7
9 3 10 0.012650 0.9800
nonperiodic-templates
22 12
11 8 6 9 10
8 10 4
0.012650 0.9700 nonperiodic-templates
11 12
10 7 12 11 6
12 12 7
0.816537 0.9800 nonperiodic-templates
7 6
13 13 12 11 10
5 10 13
0.514124 1.0000 nonperiodic-templates
13 14
6 7 6 11 17
7 6 13
0.090936 0.9900 nonperiodic-templates
12 12
11 10 14 13 9
9 5 5
0.474986 0.9700 nonperiodic-templates
9 7
7 11 12 9 10
18 8 9
0.401199 0.9700 nonperiodic-templates
9 9
11 11 10 10 13
10 14 3
0.554420 0.9900 nonperiodic-templates
6 7
8 9 18 7 13
13 15 4
0.032923 1.0000 nonperiodic-templates
6 11
7 11 10 6 13
3 17 16
0.028817 0.9900 nonperiodic-templates
9 13
11 14 12 7 8
6 12 8
0.657933 0.9900 overlapping-templates
9 10
4 7 13 11 7
11 16 12
0.304126 0.9900 universal
28 19
11 10 13 2 4
4 5 4
0.000000 * 0.9200 * apen
4 5
3 2 8
3 5 4
4 3 0.714660
0.9756 random-excursions
3 3
7 4 4 1 3
4 7 5
0.559523 0.9756 random-excursions
6 3
1 5 6 7 3
6 2 2
0.330628 0.9756 random-excursions
4 2
5 2 3
6 9 3
4 3 0.330628
0.9756 random-excursions
3 7
4 2 3 8 4
3 2 5
0.414525 0.9756 random-excursions
3 5
3 7 4 3 4
7 5 0
0.371101 1.0000 random-excursions
4 2
7 2 4 2 5
8 3 4
0.371101 0.9756 random-excursions
3 7
2 4 2 4 6
6 4 3
0.663130 1.0000 random-excursions
5 3
3 7 1 3 5
3 3 8
0.330628 0.9756 random-excursions-variant
4 3
4 4 0 6 7
2 6 5 0.371101 0.9756
random-excursions-variant
3 3
2 3 5 2 5
7 5 6
0.663130 1.0000 random-excursions-variant
2 3
1 4 4 5 6
3 6 7
0.509162 1.0000 random-excursions-variant
0 3
5 6 4 6 5
2 8 2
0.174249 1.0000 random-excursions-variant
2 4
3 8 3 6 1
2 5 7
0.199580 1.0000 random-excursions-variant
4 4
4 3 2 6 5
2 6 5
0.855534 1.0000 random-excursions-variant
4 3
6 4 4 2 5
5 6 2
0.855534 1.0000 random-excursions-variant
5 7
3 2 6 2 4
2 5 5
0.611108 1.0000 random-excursions-variant
3 5
7 6 1 2 6
4 6 1
0.258961 0.9756 random-excursions-variant
1 4
9 4 2
1 7 5
5 3 0.098036
1.0000
random-excursions-variant
2 4
3 4 6 2 7
5 5 3
0.714660 1.0000 random-excursions-variant
2 6
3 3 5 4 1
4 9 4
0.258961 1.0000 random-excursions-variant
1 3 9 4
4 3 7
3 5 2
0.174249 1.0000 random-excursions-variant
3 2
8 6 3 4 2
5 4 4
0.559523 0.9756 random-excursions-variant
3 4
4 10 4 3 2
4 4 3
0.293235 0.9756 random-excursions-variant
3 3
7 7 1
4 10 2
2 2 0.023149
0.9756
random-excursions-variant
5 3
3 6 2 5 5
3 5 4
0.927083 0.9756 random-excursions-variant
6 8
10 9 11 12 12
11 10 11
0.955835 1.0000 serial
7 8
15 11 6
9 10 18
9 7 0.162606
1.0000 serial
7 12
12 7 12 14 9
10 6 11
0.699313 1.0000 linear-complexity
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
The minimum pass rate for each statistical test
with the exception of the random
excursion (variant) test is approximately =
0.960150 for a sample size = 100
binary sequences.
The minimum pass rate for the random excursion
(variant) test is approximately
0.943383 for a sample size = 41 binary sequences.
For further guidelines construct a probability
table using the MAPLE program
provided in the addendum section of the
documentation.
- - - - - - - - - - - - - - - - - - - - - - - - - -
- -- - - - - - - - - - - - -
MODEXP.DAT
------------------------------------------------------------------------------
RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE
PROPORTION OF PASSING SEQUENCES
------------------------------------------------------------------------------
------------------------------------------------------------------------------
C1 C2
C3 C4 C5 C6 C7
C8 C9 C10 P-VALUE
PROPORTION STATISTICAL TEST
------------------------------------------------------------------------------
100 0 0
0 0 0 0 0
0 0
0.000000 * 0.0300 * frequency
34 23
11 10 4 7 6
3 2 0
0.000000 * 0.9100 *
block-frequency
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0300 * cumulative-sums
100 0 0
0 0 0 0 0
0 0 0.000000 * 0.0600 * cumulative-sums
81 6
6 1 1 2 3
0 0 0
0.000000 * 0.3400 * runs
11 10
12 5 15 7 13
11 7 9
0.494392 0.9700 longest-run
13 17
4 8 12 10 11
8 9 8
0.262249 1.0000 rank
53 10
6 8 4 2 9
4 4 0
0.000000 * 0.7700 * fft
10 9
8 12 9 10 10
11 9 12
0.996335 0.9900 nonperiodic-templates
13 8
10 13 11 10 10
13 4 8
0.616305 0.9800 nonperiodic-templates
11 9
14 13 6 12 9
8 6 12
0.616305 0.9900 nonperiodic-templates
9 17
5 13 6 5 6
14 12 13
0.048716 0.9800 nonperiodic-templates
11 14
10 11 11 10 5
8 13 7
0.678686 0.9800 nonperiodic-templates
17 10
7 11 9 6 9
13 9 9
0.455937 0.9700 nonperiodic-templates
12 8
10 8 12 12 9
9 11 9
0.983453 1.0000 nonperiodic-templates
13 8
11 8 11 9 13
9 8 10
0.946308 0.9800 nonperiodic-templates
28 10
10 11 10 5 7
5 12 2
0.000001 * 0.9300 * nonperiodic-templates
9 10
15 15 9 5 9
9 12 7
0.419021 1.0000 nonperiodic-templates
8 12
14 7 9 5 13
9 10 13
0.554420 0.9900 nonperiodic-templates
9 12
9 6 16 9 6
11 9 13
0.474986 0.9900 nonperiodic-templates
11 9
11 12 10 11 13
6 7 10
0.897763 0.9800 nonperiodic-templates
14 12
7 8 11 7 8
12 12 9
0.779188 0.9600 nonperiodic-templates
17 13
9 12 8 11 5
8 8 9
0.334538 0.9700 nonperiodic-templates
9 13
4 9 10 8 15
12 8 12
0.455937 0.9800 nonperiodic-templates
24 12
7 13 7 13 9
8 6 1
0.000097 * 0.9600
nonperiodic-templates
11 12
13 5 3 10 9
17 13 7
0.075719 0.9900 nonperiodic-templates
10 16
8 13 10 11 8
5 9 10
0.534146 1.0000 nonperiodic-templates
5 13
4 14 13 10 10
12 8 11
0.319084 0.9800 nonperiodic-templates
9 13
14 8 11 5 10
9 8 13
0.637119 1.0000 nonperiodic-templates
15 7
11 6 4 11 12
13 10 11
0.334538 0.9900 nonperiodic-templates
6 7
15 10 10 8 10
13 15 6
0.319084 1.0000 nonperiodic-templates
13 9
13 16 2 11 6
11 11 8
0.115387 0.9800 nonperiodic-templates
7 7
12 14 13 9 7
14 10 7
0.514124 1.0000 nonperiodic-templates
12 12
10 11 8 10 4
12 11 10
0.798139 0.9900 nonperiodic-templates
17 7
9 6 7 13 7
11 9 14
0.213309 1.0000 nonperiodic-templates
11 11
13 9 7 16 11
6 9 7
0.494392 0.9900 nonperiodic-templates
10 14
13 8 11 10 3
9 13 9
0.437274 0.9800 nonperiodic-templates
7 15
7 11 10 8 7
10 14 11
0.595549 0.9900 nonperiodic-templates
16 14
12 9 7 7 7
11 7 10
0.401199 0.9800 nonperiodic-templates
18 11
12 10 15 8 7
8 3 8
0.058984 0.9900 nonperiodic-templates
18 8
10 8 10 9 5
16 5 11
0.066882 0.9700 nonperiodic-templates
8 8
9 13 8
9 12 9
15 9 0.798139
0.9900 nonperiodic-templates
13 8
8 10 14 13 10
8 8 8
0.798139 1.0000 nonperiodic-templates
2 12
16 8 11 10 16
12 8 5
0.037566 1.0000 nonperiodic-templates
9 11
12 10 9
9 9 10
9 12 0.997823
0.9800 nonperiodic-templates
11 12
8 9 6 13 14
14 5 8
0.383827 1.0000 nonperiodic-templates
7 11
8 12 11 10 10
10 10 11
0.991468 1.0000 nonperiodic-templates
8 12 10 13
12 8 5
12 7 13
0.616305 1.0000 nonperiodic-templates
10 10
7 11 13 11 7
12 6 13
0.759756 0.9900 nonperiodic-templates
10 9
10 9 14 7 8
13 8 12
0.851383 0.9800 nonperiodic-templates
14 6
15 10 16
8 6 10
7 8 0.181557
1.0000 nonperiodic-templates
9 11
8 12 11 16 7
13 9 4
0.334538 0.9800 nonperiodic-templates
10 11
10 8 11 8 10
15 9 8
0.911413 0.9900 nonperiodic-templates
13 4
5 10 9
8 12 13
16 10 0.191687
1.0000 nonperiodic-templates
10 10
7 13 12 14 6
10 8 10
0.759756 1.0000 nonperiodic-templates
12 11
11 8 13 10 11
10 6 8
0.911413 0.9800 nonperiodic-templates
12 11
8 13 10 6 10
11 9 10
0.935716 1.0000 nonperiodic-templates
12 6
10 10 12 10 13
7 10 10
0.897763 0.9600 nonperiodic-templates
12 15
11 11 10 11 8
11 6 5
0.554420 0.9900 nonperiodic-templates
14 11
8 9 13 10 9
8 6 12
0.779188 0.9800 nonperiodic-templates
16 12
19 14 6 12 4
5 7 5
0.002758 0.9800 nonperiodic-templates
11 14
15 6 13 11 7
10 7 6
0.334538 0.9900 nonperiodic-templates
11 17
14 7 6 10 15 8 7
5 0.080519 0.9900
nonperiodic-templates
13 11
12 12 8 10 6
10 8 10
0.897763 0.9800 nonperiodic-templates
14 9
10 8 6 13 16
7 9 8
0.383827 0.9900 nonperiodic-templates
8 9
6 11 10 12 14
7 11 12
0.779188 0.9900 nonperiodic-templates
16 9
12 10 13 6 7
8 14 5
0.213309 0.9700 nonperiodic-templates
13 6
11 10 8 12 8
10 12 10
0.897763 0.9900 nonperiodic-templates
11 16
7 17 6 7 10
7 10 9
0.162606 0.9900 nonperiodic-templates
11 9
11 11 13 8 8
10 11 8
0.978072 0.9900 nonperiodic-templates
9 17
3 15 10 11 8
12 6 9
0.090936 1.0000 nonperiodic-templates
11 10
6 8 10 7 10
11 15 12 0.739918 0.9600
nonperiodic-templates
20 8
16 14 6 5 8
3 13 7
0.001509 0.9800 nonperiodic-templates
11 9
12 12 10 11 9
9 4 13
0.759756 1.0000 nonperiodic-templates
14 8
15 9 8 12 11
7 6 10
0.534146 0.9900 nonperiodic-templates
10 11
9 10 15 12 8
10 8 7
0.851383 1.0000 nonperiodic-templates
18 8
8 12 11 7 9
8 10 9
0.419021 0.9500 * nonperiodic-templates
14 12
13 7 2 16 8
9 11 8
0.096578 0.9900 nonperiodic-templates
14 6
13 9 8 11 10
8 10 11
0.816537 1.0000 nonperiodic-templates
11 13
12 15 12 6 8
8 11 4
0.319084 1.0000 nonperiodic-templates
12 10
17 4 9 12 12
8 11 5
0.171867 1.0000 nonperiodic-templates
23 11
12 11 9 8 7
7 10 2
0.001895 0.9800 nonperiodic-templates
10 8
9 12 9 10 10
10 10 12
0.997823 0.9900 nonperiodic-templates
24 17
11 10 11 7 8
5 3 4
0.000026 * 0.9500 *
nonperiodic-templates
30 16
12 8 8 8 6
4 5 3
0.000000 * 0.9200 *
nonperiodic-templates
10 5
11 6 11 13 11
10 16 7
0.366918 0.9800 nonperiodic-templates
7 9
9 7 11 14 13
10 8 12
0.798139 0.9800 nonperiodic-templates
5 11
15 12 6 9 10
12 9 11
0.554420 1.0000 nonperiodic-templates
4 11
9 10 9 10 12
19 4 12
0.058984 1.0000 nonperiodic-templates
18 12
11 14 9 9 6
8 10 3
0.075719 0.9700 nonperiodic-templates
18 10
11 9 6 11 12
7 7 9
0.304126 0.9700 nonperiodic-templates
9 11
12 5 10 10 10
13 9 11
0.897763 0.9800 nonperiodic-templates
6 9
10 12 11 9 8
9 14 12
0.851383 1.0000 nonperiodic-templates
7 12
11 14 8 7 11
11 10 9
0.867692 0.9800 nonperiodic-templates
10 15
9 10 15 8 8
10 7 8
0.616305 0.9800 nonperiodic-templates
13 5
13 7 12 11 8
10 7 14
0.474986 0.9800 nonperiodic-templates
13 10
11 10 10 5 11
11 6 13
0.719747 0.9800 nonperiodic-templates
6 8
11 5 20 10 3
11 15 11
0.008266 1.0000 nonperiodic-templates
10 11
11 16 6 6 8
9 13 10
0.494392 1.0000 nonperiodic-templates
12 8
7 14 7 11 12
10 7 12
0.739918 0.9900 nonperiodic-templates
10 17
7 10 9 12 7
8 11 9
0.554420 0.9900 nonperiodic-templates
8 13
10 5 10 10 18
9 12 5
0.153763 0.9900 nonperiodic-templates
12 7
9 9 14 9 14
11 8 7
0.719747 0.9700 nonperiodic-templates
11 10
8 10 9 13 14
13 8 4
0.534146 0.9900 nonperiodic-templates
15 11
15 8 6 7 10
10 5 13
0.249284 0.9800 nonperiodic-templates
18 7
14 10 11 6 9
9 11 5
0.145326 0.9800 nonperiodic-templates
12 14
3 17 10 11 9
10 10 4
0.075719 0.9900 nonperiodic-templates
26 13
14 14 10 7 9
3 2 2
0.000000 * 0.9100 *
nonperiodic-templates
11 7
14 9 7
9 9 13
10 11 0.851383
1.0000 nonperiodic-templates
20 10
13 13 6 5 5
8 13 7
0.014550 0.9800 nonperiodic-templates
16 11
9 5 12 8 9
6 13 11
0.366918 0.9700 nonperiodic-templates
13 8 12
10 8 11
7 13 8
10 0.883171 0.9800
nonperiodic-templates
4 15
10 8 13 6 12
13 11 8
0.289667 1.0000 nonperiodic-templates
16 12
13 12 11 9 4
12 7 4
0.122325 0.9900 nonperiodic-templates
13 9 9 11
10 12 11
9 11 5
0.883171 1.0000 nonperiodic-templates
12 5
18 8 15 8 7
12 6 9
0.075719 0.9900 nonperiodic-templates
12 7
13 10 9 13 10
14 8 4
0.455937 1.0000 nonperiodic-templates
10 8
10 12 9
9 10 10
9 13 0.991468
0.9900 nonperiodic-templates
11 9
9 11 12 12 11
12 2 11
0.514124 0.9700 nonperiodic-templates
12 11
15 7 9 9 5
10 9 13
0.574903 0.9700 nonperiodic-templates
4 7
12 13 13 7
6 15 11
12 0.202268 1.0000
nonperiodic-templates
7 8
9 12 10 10 15
6 14 9
0.574903 0.9900 nonperiodic-templates
9 7
16 8 8 11 12
10 9 10
0.739918 0.9800 nonperiodic-templates
12 11
15 6 10 7 4
12 11 12
0.350485 1.0000 nonperiodic-templates
12 11
8 2 10 15 15
7 10 10
0.153763 1.0000 nonperiodic-templates
10 7
13 7 12 11 10
12 10 8
0.911413 1.0000 nonperiodic-templates
9 7
17 9 11 7 11 12
10 7 0.494392
0.9900 nonperiodic-templates
12 12
10 9 6 10 10
8 14 9
0.867692 0.9800 nonperiodic-templates
17 13
10 15 8 9 9
8 5 6
0.145326 0.9800 nonperiodic-templates
10 10
10 5 14 9 10 10 12
10 0.867692 1.0000
nonperiodic-templates
18 10
8 9 8 10 8
7 12 10
0.437274 0.9700 nonperiodic-templates
15 13
8 9 14 12 6
11 7 5
0.275709 0.9900 nonperiodic-templates
13 13
12 10 10 10 8
3 14 7
0.350485 0.9800 nonperiodic-templates
10 10
13 7 11 12 6
9 9 13
0.834308 0.9800 nonperiodic-templates
12 7
8 10 14 7 11
7 14 10
0.657933 0.9900 nonperiodic-templates
6 9
8 13 10 7 10
15 15 7 0.366918
0.9800 nonperiodic-templates
12 11
11 9 10 13 8
7 9 10
0.964295 0.9900 nonperiodic-templates
12 8
10 5 13 11 9
10 11 11
0.867692 1.0000 nonperiodic-templates
16 10
12 7 8 15 9
11 7 5 0.249284 1.0000
nonperiodic-templates
14 9
10 10 9 11 8
10 7 12
0.935716 0.9900 nonperiodic-templates
16 5
14 9 9 8 16
6 12 5
0.058984 0.9900 nonperiodic-templates
16 11
6 13 7 11 8
10 7 11
0.474986 0.9900 nonperiodic-templates
14 7
9 10 11 9 11
14 8 7
0.759756 0.9900 nonperiodic-templates
9 10
13 8 9 14 9
9 9 10
0.946308 0.9700 nonperiodic-templates
14 10
13 6 3 14 10
6 11 13
0.153763 0.9700 nonperiodic-templates
10 11
16 11 8 14 9
5 7 9
0.401199 0.9800 nonperiodic-templates
7 10
13 8 11 9 14
7 11 10
0.834308 0.9900 nonperiodic-templates
13 10
8 16 14 9 9
11 2 8
0.137282 0.9900 nonperiodic-templates
18 11
9 10 11 7 8
5 7 14
0.162606 0.9900 nonperiodic-templates
10 12
11 14 7 13 7
11 5 10
0.595549 1.0000 nonperiodic-templates
11 8
10 12 11 3 13
15 11 6
0.275709 0.9800 nonperiodic-templates
4 10
11 11 9 11 11
11 12 10
0.867692 1.0000 nonperiodic-templates
12 14
6 11 9 7 12
10 12 7
0.699313 0.9900 nonperiodic-templates
13 11
15 7 5 7 10
9 11 12
0.494392 0.9900 nonperiodic-templates
17 11
13 5 10 6 9
8 9 12
0.275709 0.9700 nonperiodic-templates
23 11
12 12 8 8 7
7 10 2
0.001509 0.9800 nonperiodic-templates
13 8
19 11 8 8 9
8 4 12
0.096578 0.9900 overlapping-templates
10 12
11 15 10 6 9
6 12 9
0.657933 0.9700 universal
35 19
10 13 7 5 3
3 3 2
0.000000 * 0.9300 * apen
1 1
1 2 2 3 1
2 2 2
0.437274 1.0000 random-excursions
1 4
1 0 2
1 1 2
3 2 0.048716
0.9412 * random-excursions
4 1
1 2 2 2 1
1 0 3
0.048716 0.9412 * random-excursions
2 1
3 1 1 2 2
2 0 3
0.162606 1.0000 random-excursions
1 1
1 0 3 4 2
3 2 0
0.012650 1.0000 random-excursions
0 1
6 2 2 3 0
2 0 1
0.000060 * 1.0000
random-excursions
2 0
2 2 3 2 1
2 0 3
0.090936 1.0000 random-excursions
1 0 3