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$ ./example -max 100000000 > rnd.dat
$ ./assess 1000000
G E N E R A T O R S E L E C T I O N
______________________________________
[0] Input File [1] Linear Congruential
[2] Quadratic Congruential I [3] Quadratic Congruential II
[4] Cubic Congruential [5] XOR
[6] Modular Exponentiation [7] Blum-Blum-Shub
[8] Micali-Schnorr [9] G Using SHA-1
Enter Choice: 0
User Prescribed Input File: rnd.dat
S T A T I S T I C A L T E S T S
_________________________________
[01] Frequency [02] Block Frequency
[03] Cumulative Sums [04] Runs
[05] Longest Run of Ones [06] Rank
[07] Discrete Fourier Transform [08] Nonperiodic Template Matchings
[09] Overlapping Template Matchings [10] Universal Statistical
[11] Approximate Entropy [12] Random Excursions
[13] Random Excursions Variant [14] Serial
[15] Linear Complexity
INSTRUCTIONS
Enter 0 if you DO NOT want to apply all of the
statistical tests to each sequence and 1 if you DO.
Enter Choice: 1
P a r a m e t e r A d j u s t m e n t s
-----------------------------------------
[1] Block Frequency Test - block length(M): 128
[2] NonOverlapping Template Test - block length(m): 9
[3] Overlapping Template Test - block length(m): 9
[4] Approximate Entropy Test - block length(m): 10
[5] Serial Test - block length(m): 16
[6] Linear Complexity Test - block length(M): 500
Select Test (0 to continue): 0
How many bitstreams? 200
Input File Format:
[0] ASCII - A sequence of ASCII 0's and 1's
[1] Binary - Each byte in data file contains 8 bits of data
Select input mode: 1
Statistical Testing In Progress.........
Statistical Testing Complete!!!!!!!!!!!!
$ cat experiments/AlgorithmTesting/finalAnalysisReport.txt
------------------------------------------------------------------------------
RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE PROPORTION OF PASSING SEQUENCES
------------------------------------------------------------------------------
generator is <rnd.dat>
------------------------------------------------------------------------------
C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 P-VALUE PROPORTION STATISTICAL TEST
------------------------------------------------------------------------------
28 22 17 19 15 8 24 23 19 25 0.093720 198/200 Frequency
20 18 24 14 18 17 16 28 21 24 0.504219 199/200 BlockFrequency
25 22 17 24 19 21 22 15 16 19 0.825505 197/200 CumulativeSums
27 17 16 22 14 26 14 25 19 20 0.304126 199/200 CumulativeSums
22 19 14 23 22 22 13 28 13 24 0.224821 199/200 Runs
20 24 18 21 15 13 22 23 24 20 0.719747 197/200 LongestRun
22 26 18 22 26 15 17 22 20 12 0.410055 199/200 Rank
25 22 26 22 20 16 20 20 16 13 0.585209 195/200 FFT
22 11 15 26 33 24 21 13 14 21 0.013102 197/200 NonOverlappingTemplate
17 11 16 27 19 24 19 20 28 19 0.219006 200/200 NonOverlappingTemplate
23 27 24 15 21 11 18 27 15 19 0.162606 197/200 NonOverlappingTemplate
21 18 13 20 19 23 20 17 26 23 0.749884 197/200 NonOverlappingTemplate
24 22 24 24 24 21 13 15 17 16 0.494392 196/200 NonOverlappingTemplate
24 16 23 15 23 18 25 16 18 22 0.699313 199/200 NonOverlappingTemplate
19 23 21 16 27 18 17 20 18 21 0.859637 198/200 NonOverlappingTemplate
12 20 16 19 26 14 30 20 24 19 0.141256 198/200 NonOverlappingTemplate
18 21 17 21 20 14 25 19 24 21 0.859637 198/200 NonOverlappingTemplate
24 25 21 18 23 15 23 17 16 18 0.749884 199/200 NonOverlappingTemplate
20 22 22 18 16 22 28 16 14 22 0.574903 198/200 NonOverlappingTemplate
18 23 22 17 24 25 19 16 23 13 0.626709 199/200 NonOverlappingTemplate
17 22 14 19 21 21 18 19 24 25 0.842937 198/200 NonOverlappingTemplate
18 17 26 21 22 15 22 18 21 20 0.883171 197/200 NonOverlappingTemplate
19 25 16 32 15 19 20 18 16 20 0.236810 199/200 NonOverlappingTemplate
19 18 15 21 24 22 18 21 20 22 0.964295 200/200 NonOverlappingTemplate
21 14 17 23 26 19 20 22 20 18 0.834308 196/200 NonOverlappingTemplate
15 21 17 27 26 23 21 17 24 9 0.129620 198/200 NonOverlappingTemplate
25 17 19 19 18 22 21 22 21 16 0.951205 196/200 NonOverlappingTemplate
20 19 24 21 19 24 16 18 17 22 0.946308 197/200 NonOverlappingTemplate
27 16 19 18 23 19 22 17 22 17 0.807412 197/200 NonOverlappingTemplate
14 18 21 23 23 20 14 22 20 25 0.719747 198/200 NonOverlappingTemplate
18 22 19 12 24 25 25 22 18 15 0.474986 198/200 NonOverlappingTemplate
21 18 23 17 19 18 28 19 20 17 0.825505 198/200 NonOverlappingTemplate
20 19 15 16 27 20 26 17 20 20 0.657933 198/200 NonOverlappingTemplate
17 25 21 21 11 19 22 16 27 21 0.401199 198/200 NonOverlappingTemplate
19 16 15 18 24 19 25 25 19 20 0.769527 199/200 NonOverlappingTemplate
18 20 20 26 20 12 24 25 19 16 0.524101 198/200 NonOverlappingTemplate
14 16 18 23 21 21 19 19 28 21 0.668321 197/200 NonOverlappingTemplate
21 20 23 25 21 22 19 17 14 18 0.875539 197/200 NonOverlappingTemplate
14 16 29 22 23 13 20 29 17 17 0.099513 197/200 NonOverlappingTemplate
14 19 27 19 17 23 18 24 20 19 0.709558 199/200 NonOverlappingTemplate
18 15 21 19 27 22 21 23 17 17 0.779188 198/200 NonOverlappingTemplate
13 23 13 22 22 23 22 21 21 20 0.689019 199/200 NonOverlappingTemplate
17 14 26 26 16 21 30 15 21 14 0.096578 199/200 NonOverlappingTemplate
18 21 24 23 21 13 23 23 19 15 0.719747 197/200 NonOverlappingTemplate
19 21 14 32 20 15 16 18 24 21 0.202268 199/200 NonOverlappingTemplate
27 22 20 21 21 14 15 22 14 24 0.474986 196/200 NonOverlappingTemplate
31 12 25 11 21 18 19 16 24 23 0.050305 197/200 NonOverlappingTemplate
17 26 20 22 15 27 22 19 12 20 0.383827 199/200 NonOverlappingTemplate
15 22 14 14 31 15 27 18 23 21 0.078086 194/200 NonOverlappingTemplate
19 19 14 15 24 21 25 21 20 22 0.788728 197/200 NonOverlappingTemplate
20 21 19 22 25 18 13 24 28 10 0.153763 195/200 NonOverlappingTemplate
23 17 21 25 21 20 13 30 14 16 0.196920 196/200 NonOverlappingTemplate
17 31 17 22 16 15 28 23 11 20 0.050305 197/200 NonOverlappingTemplate
15 21 26 27 15 18 19 21 18 20 0.605916 198/200 NonOverlappingTemplate
23 18 15 14 20 21 20 20 20 29 0.554420 200/200 NonOverlappingTemplate
22 19 19 18 19 17 22 21 31 12 0.311542 199/200 NonOverlappingTemplate
16 22 23 21 19 19 18 24 21 17 0.960198 197/200 NonOverlappingTemplate
21 21 17 20 16 23 25 22 18 17 0.917870 200/200 NonOverlappingTemplate
27 17 17 16 21 20 22 18 21 21 0.859637 197/200 NonOverlappingTemplate
18 24 15 27 18 21 18 16 24 19 0.657933 199/200 NonOverlappingTemplate
13 16 21 21 15 25 18 22 29 20 0.326749 198/200 NonOverlappingTemplate
18 17 23 23 15 19 26 30 11 18 0.125927 198/200 NonOverlappingTemplate
30 21 18 22 17 21 15 17 21 18 0.544254 195/200 NonOverlappingTemplate
12 18 19 24 16 24 18 24 28 17 0.311542 199/200 NonOverlappingTemplate
20 15 23 15 18 30 23 18 17 21 0.410055 196/200 NonOverlappingTemplate
15 18 23 16 29 21 22 16 19 21 0.544254 200/200 NonOverlappingTemplate
18 16 27 13 21 22 22 21 16 24 0.534146 199/200 NonOverlappingTemplate
20 25 18 21 16 21 17 28 21 13 0.484646 200/200 NonOverlappingTemplate
23 22 13 22 14 20 26 18 19 23 0.574903 197/200 NonOverlappingTemplate
21 24 25 13 19 22 18 13 24 21 0.504219 199/200 NonOverlappingTemplate
19 13 18 25 22 15 23 28 19 18 0.410055 195/200 NonOverlappingTemplate
20 15 27 22 26 26 14 13 21 16 0.181557 198/200 NonOverlappingTemplate
18 18 19 23 18 20 19 21 24 20 0.991468 200/200 NonOverlappingTemplate
18 23 17 14 20 25 22 22 22 17 0.816537 198/200 NonOverlappingTemplate
26 15 15 11 23 21 21 16 36 16 0.005557 196/200 NonOverlappingTemplate
27 13 21 23 21 16 19 20 16 24 0.544254 198/200 NonOverlappingTemplate
16 15 32 17 20 23 22 19 20 16 0.262249 200/200 NonOverlappingTemplate
26 19 24 13 24 16 18 18 13 29 0.137282 199/200 NonOverlappingTemplate
15 18 14 27 32 21 15 20 19 19 0.112047 198/200 NonOverlappingTemplate
22 23 22 18 20 23 19 22 16 15 0.924076 196/200 NonOverlappingTemplate
18 17 21 22 14 17 22 24 20 25 0.798139 199/200 NonOverlappingTemplate
15 17 19 24 21 23 17 25 23 16 0.739918 196/200 NonOverlappingTemplate
22 11 15 26 32 25 21 13 14 21 0.017305 197/200 NonOverlappingTemplate
22 16 19 23 22 21 21 19 17 20 0.985788 200/200 NonOverlappingTemplate
22 28 18 24 14 20 23 21 20 10 0.230755 198/200 NonOverlappingTemplate
14 13 22 28 14 28 17 22 23 19 0.129620 197/200 NonOverlappingTemplate
22 16 22 20 21 21 16 19 18 25 0.935716 198/200 NonOverlappingTemplate
15 20 23 17 19 22 21 23 18 22 0.951205 200/200 NonOverlappingTemplate
20 24 21 19 17 19 19 24 15 22 0.930026 198/200 NonOverlappingTemplate
18 21 15 21 17 28 24 22 20 14 0.534146 200/200 NonOverlappingTemplate
19 15 19 19 20 20 15 25 23 25 0.779188 198/200 NonOverlappingTemplate
17 24 25 16 15 21 18 19 23 22 0.788728 198/200 NonOverlappingTemplate
15 20 18 25 24 15 21 31 18 13 0.141256 200/200 NonOverlappingTemplate
24 17 19 20 18 21 15 22 24 20 0.924076 196/200 NonOverlappingTemplate
23 18 17 21 17 28 23 21 18 14 0.605916 197/200 NonOverlappingTemplate
21 19 22 23 16 17 20 21 22 19 0.985788 200/200 NonOverlappingTemplate
27 17 21 27 24 15 15 17 15 22 0.304126 199/200 NonOverlappingTemplate
25 28 20 24 13 14 16 22 19 19 0.304126 197/200 NonOverlappingTemplate
27 16 14 24 22 18 24 20 18 17 0.564639 196/200 NonOverlappingTemplate
18 18 24 19 19 19 26 11 27 19 0.375313 195/200 NonOverlappingTemplate
20 15 29 19 26 16 21 11 18 25 0.141256 197/200 NonOverlappingTemplate
19 14 21 25 11 23 22 25 26 14 0.176657 199/200 NonOverlappingTemplate
18 23 20 17 19 18 29 22 26 8 0.102526 199/200 NonOverlappingTemplate
22 17 18 16 18 20 19 19 25 26 0.834308 198/200 NonOverlappingTemplate
25 18 14 16 16 24 18 18 30 21 0.268917 198/200 NonOverlappingTemplate
24 21 23 13 12 22 20 23 20 22 0.554420 196/200 NonOverlappingTemplate
18 21 21 30 22 17 19 14 18 20 0.534146 197/200 NonOverlappingTemplate
25 20 22 21 15 18 17 20 17 25 0.825505 199/200 NonOverlappingTemplate
18 21 22 21 18 20 26 16 20 18 0.941144 197/200 NonOverlappingTemplate
23 18 22 25 12 16 17 19 26 22 0.474986 198/200 NonOverlappingTemplate
22 18 29 23 19 23 17 17 15 17 0.534146 198/200 NonOverlappingTemplate
19 21 17 26 18 15 22 26 15 21 0.626709 197/200 NonOverlappingTemplate
16 20 20 23 18 21 18 18 25 21 0.955835 199/200 NonOverlappingTemplate
23 21 20 21 22 10 15 27 15 26 0.186566 198/200 NonOverlappingTemplate
18 26 20 26 26 18 17 17 20 12 0.358641 198/200 NonOverlappingTemplate
24 20 21 18 24 12 19 27 14 21 0.401199 195/200 NonOverlappingTemplate
16 25 15 21 24 18 18 25 22 16 0.657933 199/200 NonOverlappingTemplate
24 14 17 26 15 17 17 25 21 24 0.428095 200/200 NonOverlappingTemplate
22 24 11 20 22 24 19 18 12 28 0.176657 196/200 NonOverlappingTemplate
27 16 27 18 27 14 13 16 21 21 0.141256 197/200 NonOverlappingTemplate
23 25 20 18 23 17 15 23 19 17 0.834308 196/200 NonOverlappingTemplate
19 21 20 27 16 16 18 25 16 22 0.678686 199/200 NonOverlappingTemplate
25 22 21 19 15 19 22 19 25 13 0.657933 197/200 NonOverlappingTemplate
19 28 21 25 20 12 18 13 29 15 0.073417 198/200 NonOverlappingTemplate
20 24 21 19 21 15 17 24 20 19 0.941144 198/200 NonOverlappingTemplate
18 29 23 17 24 19 17 18 16 19 0.585209 200/200 NonOverlappingTemplate
18 28 18 16 25 21 18 20 14 22 0.544254 198/200 NonOverlappingTemplate
22 19 23 22 22 21 21 26 12 12 0.401199 199/200 NonOverlappingTemplate
22 15 25 16 21 27 14 22 21 17 0.484646 199/200 NonOverlappingTemplate
18 25 20 23 30 17 13 22 18 14 0.213309 200/200 NonOverlappingTemplate
20 23 21 21 23 29 16 13 16 18 0.410055 199/200 NonOverlappingTemplate
21 19 16 22 31 18 20 17 18 18 0.514124 198/200 NonOverlappingTemplate
26 22 12 14 23 17 21 24 21 20 0.455937 197/200 NonOverlappingTemplate
21 17 18 17 14 32 21 26 18 16 0.162606 197/200 NonOverlappingTemplate
22 24 22 23 11 15 17 18 29 19 0.230755 198/200 NonOverlappingTemplate
19 27 20 19 23 15 24 15 21 17 0.657933 198/200 NonOverlappingTemplate
20 25 16 10 24 13 23 21 21 27 0.149495 200/200 NonOverlappingTemplate
19 21 21 27 17 17 19 21 21 17 0.904708 200/200 NonOverlappingTemplate
18 23 15 19 24 21 23 21 13 23 0.719747 198/200 NonOverlappingTemplate
26 16 28 19 19 18 17 17 16 24 0.474986 199/200 NonOverlappingTemplate
24 32 17 18 20 13 18 18 19 21 0.236810 195/200 NonOverlappingTemplate
26 25 18 17 12 19 20 23 21 19 0.585209 196/200 NonOverlappingTemplate
18 26 25 12 18 16 24 19 18 24 0.410055 199/200 NonOverlappingTemplate
27 21 22 27 21 14 18 14 23 13 0.219006 197/200 NonOverlappingTemplate
18 23 24 16 19 21 16 26 20 17 0.798139 199/200 NonOverlappingTemplate
19 30 15 27 14 19 24 11 22 19 0.073417 198/200 NonOverlappingTemplate
20 23 22 20 22 15 22 21 18 17 0.964295 198/200 NonOverlappingTemplate
22 31 16 26 13 19 17 22 24 10 0.037566 197/200 NonOverlappingTemplate
18 24 22 14 23 19 16 18 19 27 0.637119 197/200 NonOverlappingTemplate
19 20 21 22 21 18 19 22 20 18 0.999438 198/200 NonOverlappingTemplate
27 15 21 18 28 18 15 23 18 17 0.375313 195/200 NonOverlappingTemplate
26 23 20 20 23 19 20 23 14 12 0.514124 199/200 NonOverlappingTemplate
18 19 11 15 21 24 20 26 23 23 0.428095 198/200 NonOverlappingTemplate
19 16 21 25 19 21 15 24 24 16 0.749884 197/200 NonOverlappingTemplate
17 26 23 18 20 26 23 14 18 15 0.494392 198/200 NonOverlappingTemplate
15 17 19 24 21 23 17 25 23 16 0.739918 196/200 NonOverlappingTemplate
26 19 20 20 24 22 22 13 14 20 0.605916 198/200 OverlappingTemplate
29 24 17 21 18 13 18 21 17 22 0.446556 196/200 Universal
22 18 22 20 20 21 22 21 18 16 0.992952 198/200 ApproximateEntropy
14 8 13 9 11 13 13 8 7 10 0.719747 106/106 RandomExcursions
13 18 9 7 12 12 9 6 12 8 0.236810 104/106 RandomExcursions
11 15 10 7 11 14 9 6 12 11 0.595549 106/106 RandomExcursions
15 7 12 12 9 11 16 8 10 6 0.350485 106/106 RandomExcursions
10 10 12 16 10 12 10 7 13 6 0.554420 106/106 RandomExcursions
8 7 12 10 11 16 11 13 10 8 0.657933 106/106 RandomExcursions
9 6 12 12 14 9 11 13 10 10 0.816537 104/106 RandomExcursions
10 10 7 12 11 9 10 13 14 10 0.911413 105/106 RandomExcursions
8 8 12 9 10 5 13 12 17 12 0.319084 104/106 RandomExcursionsVariant
5 11 10 11 7 11 10 15 11 15 0.455937 104/106 RandomExcursionsVariant
6 12 11 8 12 12 12 13 13 7 0.699313 104/106 RandomExcursionsVariant
14 10 11 6 12 9 8 12 11 13 0.779188 104/106 RandomExcursionsVariant
12 12 10 7 17 6 6 12 13 11 0.262249 103/106 RandomExcursionsVariant
13 8 14 13 7 6 6 13 15 11 0.249284 102/106 RandomExcursionsVariant
12 12 12 13 7 9 6 13 12 10 0.739918 105/106 RandomExcursionsVariant
13 15 12 8 9 10 6 9 14 10 0.574903 106/106 RandomExcursionsVariant
10 15 9 12 14 10 8 11 7 10 0.739918 105/106 RandomExcursionsVariant
13 12 8 11 12 11 9 10 11 9 0.978072 103/106 RandomExcursionsVariant
10 13 12 12 8 13 8 9 14 7 0.739918 104/106 RandomExcursionsVariant
12 10 10 14 7 8 7 13 14 11 0.657933 106/106 RandomExcursionsVariant
10 13 10 10 13 10 12 6 10 12 0.897763 106/106 RandomExcursionsVariant
9 12 15 8 13 8 12 8 11 10 0.779188 106/106 RandomExcursionsVariant
9 13 15 10 10 10 8 14 6 11 0.616305 106/106 RandomExcursionsVariant
7 17 9 12 9 11 10 16 4 11 0.129620 106/106 RandomExcursionsVariant
10 9 10 15 7 12 7 8 12 16 0.419021 106/106 RandomExcursionsVariant
9 12 11 8 8 9 15 12 9 13 0.798139 106/106 RandomExcursionsVariant
17 34 11 22 22 17 19 20 13 25 0.026057 199/200 Serial
22 20 16 22 20 18 20 18 23 21 0.989786 199/200 Serial
12 33 25 29 21 11 21 15 14 19 0.003996 199/200 LinearComplexity
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
The minimum pass rate for each statistical test with the exception of the
random excursion (variant) test is approximately = 193 for a
sample size = 200 binary sequences.
The minimum pass rate for the random excursion (variant) test
is approximately = 101 for a sample size = 106 binary sequences.
For further guidelines construct a probability table using the MAPLE program
provided in the addendum section of the documentation.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
$
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