------------------------------------------------------------------------------ RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE PROPORTION OF PASSING SEQUENCES ------------------------------------------------------------------------------ generator is ------------------------------------------------------------------------------ C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 P-VALUE PROPORTION STATISTICAL TEST ------------------------------------------------------------------------------ 8 12 6 10 8 8 10 10 15 13 0.678686 97/100 Frequency 10 8 11 10 12 9 10 14 7 9 0.935716 100/100 BlockFrequency 9 12 4 8 10 7 9 12 11 18 0.191687 97/100 CumulativeSums 8 8 7 13 7 7 14 8 12 16 0.319084 98/100 CumulativeSums 6 11 11 10 7 13 12 4 13 13 0.401199 99/100 Runs 12 6 9 6 13 9 12 8 9 16 0.419021 99/100 LongestRun 15 7 10 16 9 7 11 12 4 9 0.202268 99/100 Rank 14 15 11 7 10 14 6 7 11 5 0.224821 100/100 FFT 11 10 8 11 9 8 10 17 11 5 0.474986 100/100 NonOverlappingTemplate 5 12 6 10 10 16 8 12 14 7 0.249284 99/100 NonOverlappingTemplate 7 9 11 11 4 9 15 20 5 9 0.017912 99/100 NonOverlappingTemplate 13 9 11 5 9 10 9 9 15 10 0.699313 98/100 NonOverlappingTemplate 13 12 11 6 10 13 13 6 4 12 0.319084 100/100 NonOverlappingTemplate 10 14 8 14 14 8 7 9 13 3 0.191687 99/100 NonOverlappingTemplate 12 10 9 5 13 15 5 15 11 5 0.122325 99/100 NonOverlappingTemplate 10 13 9 10 8 5 6 17 6 16 0.075719 100/100 NonOverlappingTemplate 13 9 10 13 8 7 15 5 11 9 0.494392 100/100 NonOverlappingTemplate 8 12 11 12 8 13 6 12 10 8 0.834308 99/100 NonOverlappingTemplate 9 8 9 11 7 11 15 6 14 10 0.595549 100/100 NonOverlappingTemplate 13 12 11 10 11 12 11 9 5 6 0.719747 98/100 NonOverlappingTemplate 11 10 9 7 8 10 10 10 13 12 0.971699 99/100 NonOverlappingTemplate 12 11 6 10 10 7 14 7 10 13 0.699313 99/100 NonOverlappingTemplate 13 15 5 9 8 11 10 12 10 7 0.554420 97/100 NonOverlappingTemplate 12 8 11 14 12 14 6 10 9 4 0.366918 100/100 NonOverlappingTemplate 12 10 6 11 10 12 7 7 10 15 0.657933 100/100 NonOverlappingTemplate 15 11 6 12 8 12 8 11 11 6 0.574903 99/100 NonOverlappingTemplate 11 13 11 8 11 7 10 11 10 8 0.964295 98/100 NonOverlappingTemplate 10 12 9 14 10 10 13 9 9 4 0.657933 100/100 NonOverlappingTemplate 7 12 13 14 7 8 14 5 14 6 0.191687 100/100 NonOverlappingTemplate 9 13 11 9 5 16 10 8 11 8 0.514124 99/100 NonOverlappingTemplate 7 7 13 6 8 8 17 10 8 16 0.122325 98/100 NonOverlappingTemplate 10 14 11 8 11 14 5 10 8 9 0.657933 100/100 NonOverlappingTemplate 13 13 11 10 8 8 9 7 13 8 0.834308 99/100 NonOverlappingTemplate 7 11 7 12 15 6 6 11 9 16 0.224821 100/100 NonOverlappingTemplate 9 8 10 11 13 11 14 5 10 9 0.759756 99/100 NonOverlappingTemplate 8 12 13 11 6 11 11 5 9 14 0.554420 100/100 NonOverlappingTemplate 8 11 12 8 12 4 10 9 15 11 0.534146 99/100 NonOverlappingTemplate 12 9 9 9 9 13 3 15 10 11 0.419021 98/100 NonOverlappingTemplate 10 7 11 17 7 10 9 9 11 9 0.616305 98/100 NonOverlappingTemplate 14 6 7 16 13 7 9 14 6 8 0.153763 97/100 NonOverlappingTemplate 14 10 11 12 12 8 7 5 13 8 0.574903 99/100 NonOverlappingTemplate 16 6 11 15 4 11 8 7 11 11 0.162606 98/100 NonOverlappingTemplate 10 12 7 6 7 13 13 13 13 6 0.437274 99/100 NonOverlappingTemplate 14 11 5 10 7 18 7 12 8 8 0.137282 99/100 NonOverlappingTemplate 10 13 8 12 11 8 12 9 8 9 0.955835 99/100 NonOverlappingTemplate 13 4 8 6 10 9 15 13 14 8 0.213309 99/100 NonOverlappingTemplate 6 7 10 6 9 17 10 15 9 11 0.224821 99/100 NonOverlappingTemplate 9 15 13 13 8 4 12 10 6 10 0.319084 100/100 NonOverlappingTemplate 11 6 11 12 7 9 8 12 13 11 0.834308 100/100 NonOverlappingTemplate 8 10 8 8 11 12 11 14 11 7 0.883171 99/100 NonOverlappingTemplate 12 13 6 9 12 13 11 7 11 6 0.637119 99/100 NonOverlappingTemplate 7 11 11 13 6 15 12 6 8 11 0.474986 100/100 NonOverlappingTemplate 16 6 10 7 9 12 6 7 14 13 0.236810 97/100 NonOverlappingTemplate 10 13 7 8 8 6 13 13 10 12 0.699313 99/100 NonOverlappingTemplate 9 11 11 10 7 8 17 14 7 6 0.304126 99/100 NonOverlappingTemplate 7 7 13 13 5 9 13 6 11 16 0.191687 100/100 NonOverlappingTemplate 13 12 8 12 12 5 11 7 14 6 0.419021 100/100 NonOverlappingTemplate 6 14 9 7 11 14 9 13 8 9 0.595549 100/100 NonOverlappingTemplate 13 7 14 12 7 12 8 11 10 6 0.616305 99/100 NonOverlappingTemplate 9 11 5 13 10 9 9 13 13 8 0.739918 98/100 NonOverlappingTemplate 8 7 11 9 12 15 10 9 13 6 0.637119 99/100 NonOverlappingTemplate 8 5 15 9 6 10 13 12 9 13 0.401199 100/100 NonOverlappingTemplate 12 9 11 11 4 9 9 12 15 8 0.554420 99/100 NonOverlappingTemplate 17 9 14 8 9 9 14 8 7 5 0.181557 98/100 NonOverlappingTemplate 10 12 8 6 11 15 11 11 8 8 0.739918 100/100 NonOverlappingTemplate 14 14 8 9 11 7 11 9 6 11 0.678686 99/100 NonOverlappingTemplate 11 9 11 10 11 13 17 8 5 5 0.236810 99/100 NonOverlappingTemplate 7 11 11 10 14 12 8 12 7 8 0.816537 99/100 NonOverlappingTemplate 9 10 8 11 9 11 10 13 10 9 0.994250 98/100 NonOverlappingTemplate 9 8 11 15 10 7 12 10 9 9 0.867692 99/100 NonOverlappingTemplate 5 15 4 10 8 12 11 13 8 14 0.191687 100/100 NonOverlappingTemplate 9 8 12 11 13 12 6 8 7 14 0.657933 99/100 NonOverlappingTemplate 7 11 14 12 12 15 6 10 6 7 0.350485 99/100 NonOverlappingTemplate 11 8 12 12 8 5 12 8 12 12 0.759756 100/100 NonOverlappingTemplate 8 5 9 14 9 10 11 11 10 13 0.759756 100/100 NonOverlappingTemplate 14 16 5 11 4 10 6 11 11 12 0.137282 98/100 NonOverlappingTemplate 12 8 14 13 6 9 9 10 8 11 0.779188 100/100 NonOverlappingTemplate 10 9 11 13 5 16 7 12 11 6 0.334538 98/100 NonOverlappingTemplate 13 12 13 13 12 5 6 11 8 7 0.437274 98/100 NonOverlappingTemplate 14 12 5 6 5 7 12 13 16 10 0.108791 100/100 NonOverlappingTemplate 8 12 7 11 13 10 11 8 10 10 0.955835 100/100 NonOverlappingTemplate 6 16 4 11 6 12 12 3 17 13 0.008879 100/100 NonOverlappingTemplate 11 10 8 11 9 8 10 17 11 5 0.474986 100/100 NonOverlappingTemplate 11 7 12 9 5 14 10 3 12 17 0.071177 97/100 NonOverlappingTemplate 12 13 13 8 13 5 9 7 4 16 0.115387 98/100 NonOverlappingTemplate 11 15 6 8 10 11 15 7 8 9 0.474986 99/100 NonOverlappingTemplate 8 11 6 9 17 9 6 13 9 12 0.334538 100/100 NonOverlappingTemplate 14 8 9 12 12 7 9 11 10 8 0.883171 98/100 NonOverlappingTemplate 12 5 9 12 9 13 16 11 11 2 0.102526 99/100 NonOverlappingTemplate 8 10 12 10 7 12 7 6 17 11 0.383827 100/100 NonOverlappingTemplate 6 8 11 13 9 12 8 10 16 7 0.494392 99/100 NonOverlappingTemplate 10 16 11 9 16 8 8 8 8 6 0.304126 99/100 NonOverlappingTemplate 8 6 11 12 11 13 9 13 10 7 0.798139 99/100 NonOverlappingTemplate 12 6 6 21 5 11 9 11 9 10 0.028817 99/100 NonOverlappingTemplate 9 8 10 11 13 7 18 10 5 9 0.249284 99/100 NonOverlappingTemplate 5 12 12 16 12 5 9 12 11 6 0.213309 100/100 NonOverlappingTemplate 9 13 6 12 11 10 7 12 8 12 0.816537 99/100 NonOverlappingTemplate 8 13 7 13 10 10 9 13 11 6 0.759756 100/100 NonOverlappingTemplate 7 6 10 7 20 10 9 8 9 14 0.075719 99/100 NonOverlappingTemplate 10 11 8 13 6 12 11 10 12 7 0.851383 99/100 NonOverlappingTemplate 15 6 9 8 15 9 10 5 11 12 0.334538 98/100 NonOverlappingTemplate 9 7 9 14 7 9 8 12 11 14 0.719747 98/100 NonOverlappingTemplate 15 10 8 9 13 11 10 12 4 8 0.494392 99/100 NonOverlappingTemplate 6 9 13 10 9 10 13 9 10 11 0.924076 100/100 NonOverlappingTemplate 6 7 10 15 7 10 8 14 8 15 0.289667 100/100 NonOverlappingTemplate 8 12 9 10 9 7 12 11 10 12 0.971699 98/100 NonOverlappingTemplate 11 16 4 18 10 12 7 7 8 7 0.045675 99/100 NonOverlappingTemplate 8 10 11 8 10 8 10 11 9 15 0.911413 99/100 NonOverlappingTemplate 13 11 6 8 5 11 11 14 8 13 0.474986 98/100 NonOverlappingTemplate 7 11 14 13 8 4 11 17 6 9 0.115387 100/100 NonOverlappingTemplate 7 12 12 9 14 14 10 7 7 8 0.616305 99/100 NonOverlappingTemplate 12 9 12 10 17 6 9 5 10 10 0.350485 99/100 NonOverlappingTemplate 10 6 7 11 10 7 14 12 9 14 0.616305 99/100 NonOverlappingTemplate 6 9 12 10 10 5 13 10 8 17 0.289667 99/100 NonOverlappingTemplate 4 9 10 15 8 8 12 15 7 12 0.262249 100/100 NonOverlappingTemplate 13 11 9 15 7 3 5 11 10 16 0.075719 99/100 NonOverlappingTemplate 10 7 11 12 10 6 16 11 7 10 0.574903 99/100 NonOverlappingTemplate 13 8 10 9 4 8 13 14 11 10 0.534146 99/100 NonOverlappingTemplate 13 14 5 7 10 7 6 9 11 18 0.090936 97/100 NonOverlappingTemplate 11 10 7 13 9 10 10 7 16 7 0.595549 100/100 NonOverlappingTemplate 15 12 12 6 10 14 10 1 13 7 0.058984 100/100 NonOverlappingTemplate 11 8 13 14 5 12 10 12 7 8 0.574903 99/100 NonOverlappingTemplate 7 7 11 12 9 9 8 14 12 11 0.834308 99/100 NonOverlappingTemplate 8 14 9 13 7 8 7 10 13 11 0.719747 99/100 NonOverlappingTemplate 8 9 9 13 7 9 8 13 12 12 0.867692 97/100 NonOverlappingTemplate 12 9 15 9 5 10 7 10 9 14 0.514124 98/100 NonOverlappingTemplate 8 14 10 6 10 13 9 13 10 7 0.699313 98/100 NonOverlappingTemplate 10 5 14 14 8 10 8 10 11 10 0.678686 99/100 NonOverlappingTemplate 7 5 13 8 7 13 12 9 16 10 0.304126 97/100 NonOverlappingTemplate 10 13 12 10 8 6 11 7 7 16 0.455937 99/100 NonOverlappingTemplate 6 12 12 10 15 12 9 5 13 6 0.319084 100/100 NonOverlappingTemplate 13 9 9 11 8 8 11 13 5 13 0.699313 99/100 NonOverlappingTemplate 12 6 9 18 10 8 18 8 5 6 0.019188 100/100 NonOverlappingTemplate 6 8 9 11 10 15 10 10 10 11 0.851383 99/100 NonOverlappingTemplate 8 13 12 8 15 10 7 7 8 12 0.616305 99/100 NonOverlappingTemplate 3 14 9 19 14 5 6 12 12 6 0.006661 100/100 NonOverlappingTemplate 7 10 9 10 13 15 10 9 9 8 0.834308 99/100 NonOverlappingTemplate 12 7 7 14 9 13 10 13 8 7 0.637119 99/100 NonOverlappingTemplate 10 8 8 2 8 12 16 9 15 12 0.102526 98/100 NonOverlappingTemplate 19 9 6 5 8 15 8 5 14 11 0.019188 97/100 NonOverlappingTemplate 6 8 7 7 11 12 7 15 15 12 0.304126 99/100 NonOverlappingTemplate 10 9 14 6 8 8 11 19 10 5 0.096578 99/100 NonOverlappingTemplate 9 11 13 12 13 8 4 9 8 13 0.554420 99/100 NonOverlappingTemplate 7 14 12 11 12 5 10 7 6 16 0.213309 99/100 NonOverlappingTemplate 11 8 9 9 15 10 8 9 12 9 0.897763 98/100 NonOverlappingTemplate 14 9 11 8 7 12 7 7 12 13 0.678686 99/100 NonOverlappingTemplate 8 8 11 11 9 10 21 9 12 1 0.009535 99/100 NonOverlappingTemplate 14 10 8 12 11 8 15 9 6 7 0.534146 97/100 NonOverlappingTemplate 6 5 9 7 10 14 9 12 19 9 0.080519 99/100 NonOverlappingTemplate 8 13 10 9 6 9 11 11 12 11 0.924076 100/100 NonOverlappingTemplate 12 7 9 14 11 7 5 12 11 12 0.595549 96/100 NonOverlappingTemplate 7 9 13 8 12 11 11 7 9 13 0.851383 100/100 NonOverlappingTemplate 10 7 11 10 11 14 8 9 9 11 0.946308 99/100 NonOverlappingTemplate 11 6 14 7 10 11 11 11 8 11 0.834308 100/100 NonOverlappingTemplate 12 5 9 15 10 5 11 11 11 11 0.494392 99/100 NonOverlappingTemplate 6 16 4 11 7 11 11 4 17 13 0.021999 100/100 NonOverlappingTemplate 11 11 8 18 12 9 8 9 5 9 0.304126 100/100 OverlappingTemplate 16 13 9 6 9 7 11 8 8 13 0.437274 99/100 Universal 13 9 8 9 12 6 11 6 13 13 0.637119 100/100 ApproximateEntropy 9 5 6 5 7 6 7 6 1 11 0.311542 61/63 RandomExcursions 7 7 1 8 6 12 8 5 3 6 0.141256 63/63 RandomExcursions 12 3 7 10 3 5 8 6 3 6 0.116519 60/63 RandomExcursions 7 7 5 5 8 7 10 6 3 5 0.756476 61/63 RandomExcursions 8 10 7 4 3 5 6 4 8 8 0.551026 62/63 RandomExcursions 5 7 4 4 4 9 10 9 3 8 0.337162 63/63 RandomExcursions 10 9 5 7 7 8 5 4 5 3 0.551026 62/63 RandomExcursions 6 5 3 9 7 9 6 7 7 4 0.756476 62/63 RandomExcursions 6 8 5 9 3 7 7 5 4 9 0.689019 62/63 RandomExcursionsVariant 6 4 8 8 5 6 7 9 4 6 0.875539 62/63 RandomExcursionsVariant 4 8 6 7 6 3 7 6 6 10 0.756476 63/63 RandomExcursionsVariant 5 9 5 6 4 4 4 6 12 8 0.311542 63/63 RandomExcursionsVariant 6 9 7 3 11 4 7 7 7 2 0.264458 63/63 RandomExcursionsVariant 7 9 8 9 4 6 7 6 3 4 0.654467 63/63 RandomExcursionsVariant 8 11 4 7 8 7 6 4 5 3 0.452799 62/63 RandomExcursionsVariant 7 8 11 4 8 4 5 6 4 6 0.551026 61/63 RandomExcursionsVariant 9 9 7 3 5 5 4 5 9 7 0.585209 60/63 RandomExcursionsVariant 11 6 6 3 6 8 5 9 4 5 0.452799 62/63 RandomExcursionsVariant 7 7 4 8 5 5 5 11 8 3 0.484646 63/63 RandomExcursionsVariant 5 9 6 6 10 5 6 6 8 2 0.551026 63/63 RandomExcursionsVariant 5 5 11 5 5 7 7 6 10 2 0.311542 63/63 RandomExcursionsVariant 5 6 1 14 6 4 9 7 5 6 0.041438 63/63 RandomExcursionsVariant 6 3 4 4 10 10 7 6 5 8 0.422034 63/63 RandomExcursionsVariant 6 1 6 9 6 2 7 14 7 5 0.021262 62/63 RandomExcursionsVariant 5 5 5 7 5 7 8 8 7 6 0.980883 63/63 RandomExcursionsVariant 5 6 7 5 4 11 7 7 7 4 0.689019 63/63 RandomExcursionsVariant 11 9 7 12 9 10 11 10 6 15 0.759756 98/100 Serial 11 15 9 6 7 9 15 12 7 9 0.419021 97/100 Serial 8 15 13 10 7 10 10 9 6 12 0.657933 99/100 LinearComplexity - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - The minimum pass rate for each statistical test with the exception of the random excursion (variant) test is approximately = 96 for a sample size = 100 binary sequences. The minimum pass rate for the random excursion (variant) test is approximately = 60 for a sample size = 63 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -