------------------------------------------------------------------------------ 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 15 9 13 7 13 6 10 11 8 0.554420 99/100 Frequency 8 15 4 10 9 12 7 11 11 13 0.437274 100/100 BlockFrequency 7 13 14 13 8 9 7 9 10 10 0.759756 99/100 CumulativeSums 11 9 17 9 4 8 6 12 9 15 0.129620 98/100 CumulativeSums 12 9 14 9 15 10 5 4 11 11 0.275709 99/100 Runs 16 10 11 4 12 11 14 8 9 5 0.191687 97/100 LongestRun 15 14 6 11 12 9 11 9 5 8 0.401199 99/100 Rank 8 14 10 10 7 12 13 9 11 6 0.739918 99/100 FFT 9 9 8 14 9 5 9 14 9 14 0.514124 100/100 NonOverlappingTemplate 9 9 6 15 13 7 10 8 11 12 0.637119 100/100 NonOverlappingTemplate 9 13 14 8 5 14 10 7 11 9 0.514124 99/100 NonOverlappingTemplate 9 8 12 13 5 10 9 14 12 8 0.657933 98/100 NonOverlappingTemplate 11 7 13 11 12 9 6 12 7 12 0.759756 100/100 NonOverlappingTemplate 11 8 13 12 7 10 8 13 8 10 0.883171 98/100 NonOverlappingTemplate 5 16 9 13 9 11 9 5 16 7 0.108791 100/100 NonOverlappingTemplate 12 8 12 13 10 10 9 9 7 10 0.955835 98/100 NonOverlappingTemplate 11 10 13 5 9 10 13 7 12 10 0.759756 98/100 NonOverlappingTemplate 10 12 4 8 7 7 14 12 8 18 0.090936 100/100 NonOverlappingTemplate 13 6 8 9 9 11 11 13 8 12 0.834308 99/100 NonOverlappingTemplate 20 10 6 9 7 10 9 6 7 16 0.026948 99/100 NonOverlappingTemplate 11 13 10 10 10 13 7 6 9 11 0.867692 99/100 NonOverlappingTemplate 11 8 7 9 9 16 7 12 13 8 0.554420 97/100 NonOverlappingTemplate 14 6 10 11 15 8 12 7 9 8 0.534146 99/100 NonOverlappingTemplate 8 10 13 11 7 13 11 9 9 9 0.935716 99/100 NonOverlappingTemplate 3 9 9 8 12 12 12 10 9 16 0.319084 100/100 NonOverlappingTemplate 16 7 13 7 10 9 8 7 11 12 0.514124 99/100 NonOverlappingTemplate 8 14 8 12 13 7 7 11 15 5 0.304126 100/100 NonOverlappingTemplate 9 9 11 8 12 10 9 10 10 12 0.996335 100/100 NonOverlappingTemplate 7 13 9 10 9 13 9 4 13 13 0.494392 98/100 NonOverlappingTemplate 8 12 11 9 7 15 4 7 11 16 0.181557 98/100 NonOverlappingTemplate 15 8 10 14 9 9 12 9 8 6 0.616305 100/100 NonOverlappingTemplate 6 6 6 11 14 14 11 5 12 15 0.137282 100/100 NonOverlappingTemplate 6 11 14 9 9 11 10 7 10 13 0.798139 100/100 NonOverlappingTemplate 12 10 13 9 8 9 11 9 10 9 0.987896 100/100 NonOverlappingTemplate 12 10 11 12 12 8 7 7 10 11 0.935716 100/100 NonOverlappingTemplate 8 16 13 8 8 3 8 15 10 11 0.137282 100/100 NonOverlappingTemplate 10 11 11 11 9 12 8 6 9 13 0.924076 99/100 NonOverlappingTemplate 8 7 9 7 9 15 11 9 14 11 0.657933 100/100 NonOverlappingTemplate 11 15 5 11 10 12 8 8 9 11 0.678686 99/100 NonOverlappingTemplate 8 7 10 9 9 10 15 12 11 9 0.867692 100/100 NonOverlappingTemplate 11 5 11 10 13 6 10 10 10 14 0.657933 100/100 NonOverlappingTemplate 14 8 11 12 5 12 10 7 12 9 0.657933 97/100 NonOverlappingTemplate 4 11 13 11 12 6 12 8 15 8 0.319084 100/100 NonOverlappingTemplate 11 10 7 8 11 11 9 22 10 1 0.003996 100/100 NonOverlappingTemplate 10 5 10 8 9 12 16 8 13 9 0.494392 98/100 NonOverlappingTemplate 9 10 8 7 7 10 13 10 15 11 0.759756 100/100 NonOverlappingTemplate 12 10 7 11 11 5 12 13 8 11 0.759756 99/100 NonOverlappingTemplate 10 10 6 13 5 12 12 11 7 14 0.494392 99/100 NonOverlappingTemplate 8 9 11 14 13 3 9 7 18 8 0.071177 100/100 NonOverlappingTemplate 6 12 13 15 5 12 11 13 8 5 0.202268 100/100 NonOverlappingTemplate 13 8 8 8 8 14 11 9 10 11 0.883171 100/100 NonOverlappingTemplate 7 16 10 12 7 7 12 8 9 12 0.534146 100/100 NonOverlappingTemplate 7 13 12 6 10 12 14 9 9 8 0.699313 100/100 NonOverlappingTemplate 8 11 5 4 12 18 7 8 17 10 0.020548 99/100 NonOverlappingTemplate 12 9 5 11 10 12 14 10 11 6 0.657933 99/100 NonOverlappingTemplate 9 9 13 10 10 14 8 8 10 9 0.935716 97/100 NonOverlappingTemplate 11 11 11 5 12 6 16 14 10 4 0.137282 97/100 NonOverlappingTemplate 9 15 10 11 13 5 11 10 6 10 0.554420 98/100 NonOverlappingTemplate 10 10 5 12 8 13 15 13 6 8 0.383827 99/100 NonOverlappingTemplate 11 4 14 14 8 7 16 6 13 7 0.085587 100/100 NonOverlappingTemplate 7 14 10 9 13 12 11 8 4 12 0.494392 98/100 NonOverlappingTemplate 9 14 6 14 10 5 12 13 6 11 0.319084 99/100 NonOverlappingTemplate 10 12 10 11 6 9 6 13 9 14 0.699313 100/100 NonOverlappingTemplate 10 9 16 7 9 7 11 12 9 10 0.719747 100/100 NonOverlappingTemplate 11 9 11 12 11 9 12 9 10 6 0.964295 96/100 NonOverlappingTemplate 10 6 9 9 13 7 16 14 10 6 0.319084 99/100 NonOverlappingTemplate 7 4 9 15 8 10 10 10 13 14 0.350485 99/100 NonOverlappingTemplate 5 12 7 14 9 7 12 12 9 13 0.514124 99/100 NonOverlappingTemplate 6 10 13 12 10 14 8 12 11 4 0.437274 100/100 NonOverlappingTemplate 12 14 10 10 12 7 6 15 7 7 0.419021 99/100 NonOverlappingTemplate 8 12 12 4 10 11 8 10 12 13 0.678686 100/100 NonOverlappingTemplate 10 12 15 14 11 10 6 5 9 8 0.419021 99/100 NonOverlappingTemplate 18 6 13 8 14 4 7 13 12 5 0.023545 98/100 NonOverlappingTemplate 9 10 12 9 14 8 9 11 6 12 0.851383 99/100 NonOverlappingTemplate 13 12 7 10 8 8 11 13 10 8 0.883171 99/100 NonOverlappingTemplate 14 9 14 10 9 10 8 10 10 6 0.798139 100/100 NonOverlappingTemplate 13 12 8 5 13 9 7 10 10 13 0.637119 99/100 NonOverlappingTemplate 9 8 11 9 9 10 11 11 9 13 0.991468 100/100 NonOverlappingTemplate 11 6 13 14 10 8 13 10 7 8 0.657933 99/100 NonOverlappingTemplate 8 10 9 11 10 14 12 8 4 14 0.514124 100/100 NonOverlappingTemplate 12 11 7 4 19 16 2 7 12 10 0.003712 96/100 NonOverlappingTemplate 7 11 7 13 11 8 11 12 10 10 0.924076 97/100 NonOverlappingTemplate 9 9 8 14 9 5 9 14 9 14 0.514124 100/100 NonOverlappingTemplate 4 12 13 13 14 9 9 11 9 6 0.401199 100/100 NonOverlappingTemplate 6 8 10 14 9 5 11 8 10 19 0.096578 99/100 NonOverlappingTemplate 10 9 16 9 10 9 11 6 10 10 0.779188 100/100 NonOverlappingTemplate 16 6 9 8 11 17 6 6 13 8 0.085587 97/100 NonOverlappingTemplate 8 8 12 9 8 14 9 9 9 14 0.816537 99/100 NonOverlappingTemplate 11 11 9 10 19 4 9 10 9 8 0.181557 98/100 NonOverlappingTemplate 5 7 11 16 10 10 8 10 17 6 0.122325 100/100 NonOverlappingTemplate 6 12 8 9 12 10 12 13 10 8 0.867692 100/100 NonOverlappingTemplate 5 5 9 12 15 14 12 7 13 8 0.202268 99/100 NonOverlappingTemplate 8 17 9 8 10 4 12 14 9 9 0.236810 98/100 NonOverlappingTemplate 13 14 11 4 10 18 7 7 9 7 0.080519 99/100 NonOverlappingTemplate 11 7 7 14 13 7 9 10 9 13 0.699313 97/100 NonOverlappingTemplate 10 12 6 7 11 9 12 7 14 12 0.699313 99/100 NonOverlappingTemplate 12 8 9 17 10 8 12 10 6 8 0.474986 99/100 NonOverlappingTemplate 8 5 12 11 5 13 6 11 15 14 0.181557 98/100 NonOverlappingTemplate 8 16 9 14 8 11 7 9 9 9 0.595549 100/100 NonOverlappingTemplate 9 8 14 11 12 13 12 10 7 4 0.494392 97/100 NonOverlappingTemplate 12 16 11 9 4 10 9 4 10 15 0.122325 97/100 NonOverlappingTemplate 11 12 10 12 6 13 11 8 10 7 0.851383 100/100 NonOverlappingTemplate 11 8 10 7 10 12 12 14 11 5 0.699313 100/100 NonOverlappingTemplate 11 7 13 10 11 8 5 12 12 11 0.759756 99/100 NonOverlappingTemplate 10 11 8 7 16 7 7 9 12 13 0.514124 100/100 NonOverlappingTemplate 10 6 8 12 5 16 9 10 13 11 0.383827 98/100 NonOverlappingTemplate 11 6 7 13 13 13 10 10 7 10 0.719747 99/100 NonOverlappingTemplate 9 13 11 10 8 8 17 11 6 7 0.401199 99/100 NonOverlappingTemplate 5 7 8 10 19 10 12 11 9 9 0.181557 100/100 NonOverlappingTemplate 10 7 12 13 9 9 11 6 6 17 0.304126 100/100 NonOverlappingTemplate 15 10 9 8 5 11 11 9 14 8 0.554420 100/100 NonOverlappingTemplate 9 13 6 12 11 10 11 9 11 8 0.924076 98/100 NonOverlappingTemplate 14 5 7 9 11 10 14 13 8 9 0.514124 100/100 NonOverlappingTemplate 14 7 7 8 13 9 11 14 6 11 0.514124 100/100 NonOverlappingTemplate 14 11 11 8 7 12 9 9 9 10 0.924076 100/100 NonOverlappingTemplate 11 12 11 8 6 7 11 6 11 17 0.334538 99/100 NonOverlappingTemplate 11 9 11 9 11 7 17 11 10 4 0.350485 98/100 NonOverlappingTemplate 7 9 9 10 11 13 12 7 8 14 0.798139 99/100 NonOverlappingTemplate 16 12 12 11 5 9 4 7 10 14 0.153763 98/100 NonOverlappingTemplate 11 9 9 7 9 12 10 11 8 14 0.924076 99/100 NonOverlappingTemplate 7 15 8 8 9 13 6 12 10 12 0.574903 98/100 NonOverlappingTemplate 7 7 13 10 8 15 9 7 10 14 0.514124 100/100 NonOverlappingTemplate 11 6 8 7 11 7 14 6 14 16 0.191687 97/100 NonOverlappingTemplate 12 9 9 12 10 11 6 15 6 10 0.657933 99/100 NonOverlappingTemplate 13 12 8 13 3 18 11 6 7 9 0.055361 97/100 NonOverlappingTemplate 4 10 15 17 9 8 7 9 13 8 0.129620 100/100 NonOverlappingTemplate 15 7 12 8 9 11 9 8 11 9 0.686305 97/100 NonOverlappingTemplate 9 12 6 12 7 11 8 11 17 7 0.366918 97/100 NonOverlappingTemplate 8 9 14 14 11 11 7 10 10 6 0.699313 100/100 NonOverlappingTemplate 9 8 11 12 12 8 8 9 9 14 0.911413 99/100 NonOverlappingTemplate 11 7 15 8 12 11 7 13 8 8 0.637119 99/100 NonOverlappingTemplate 13 11 8 7 10 7 12 10 9 13 0.867692 100/100 NonOverlappingTemplate 9 6 5 10 8 9 12 12 14 15 0.383827 100/100 NonOverlappingTemplate 9 8 6 11 7 15 10 13 13 8 0.554420 99/100 NonOverlappingTemplate 6 7 12 14 9 7 6 9 16 14 0.191687 98/100 NonOverlappingTemplate 8 11 7 12 12 10 6 10 13 11 0.851383 98/100 NonOverlappingTemplate 12 6 8 6 11 7 12 9 16 13 0.350485 100/100 NonOverlappingTemplate 11 14 7 17 14 5 8 10 5 9 0.102526 99/100 NonOverlappingTemplate 10 8 7 4 8 13 13 11 12 14 0.419021 99/100 NonOverlappingTemplate 11 10 10 11 6 12 13 6 9 12 0.816537 96/100 NonOverlappingTemplate 14 12 6 9 5 10 12 8 9 15 0.383827 100/100 NonOverlappingTemplate 12 11 7 12 5 9 15 9 10 10 0.637119 98/100 NonOverlappingTemplate 8 7 6 6 12 9 15 17 9 11 0.181557 99/100 NonOverlappingTemplate 6 10 7 9 8 11 13 12 14 10 0.739918 100/100 NonOverlappingTemplate 11 4 13 11 13 9 8 11 10 10 0.719747 100/100 NonOverlappingTemplate 9 15 8 8 8 12 9 10 12 9 0.851383 98/100 NonOverlappingTemplate 8 8 12 7 12 11 11 9 11 11 0.964295 98/100 NonOverlappingTemplate 11 8 11 12 12 12 9 9 7 9 0.964295 98/100 NonOverlappingTemplate 7 12 8 13 11 8 8 12 11 10 0.911413 100/100 NonOverlappingTemplate 11 9 14 6 12 7 10 11 8 12 0.779188 97/100 NonOverlappingTemplate 10 12 10 10 16 16 5 4 7 10 0.102526 98/100 NonOverlappingTemplate 11 10 9 10 13 7 11 8 12 9 0.964295 100/100 NonOverlappingTemplate 13 6 16 9 9 7 10 7 8 15 0.275709 98/100 NonOverlappingTemplate 11 9 7 14 14 8 10 8 10 9 0.816537 99/100 NonOverlappingTemplate 9 3 9 20 13 12 7 10 12 5 0.016717 98/100 NonOverlappingTemplate 7 11 7 13 11 8 11 12 9 11 0.911413 97/100 NonOverlappingTemplate 16 16 13 8 6 8 9 10 8 6 0.181557 98/100 OverlappingTemplate 13 10 10 9 12 7 6 9 8 16 0.534146 98/100 Universal 10 11 8 10 6 12 10 11 15 7 0.739918 100/100 ApproximateEntropy 9 7 8 7 12 10 6 12 5 9 0.676097 84/85 RandomExcursions 12 8 11 6 6 6 9 9 12 6 0.598138 84/85 RandomExcursions 11 11 8 7 5 9 11 12 6 5 0.496841 85/85 RandomExcursions 5 13 11 10 7 6 7 12 6 8 0.425817 85/85 RandomExcursions 6 8 8 10 7 8 11 6 10 11 0.885045 84/85 RandomExcursions 7 10 4 8 9 9 5 13 10 10 0.521600 85/85 RandomExcursions 1 9 9 12 10 10 8 8 11 7 0.302291 85/85 RandomExcursions 9 9 9 9 7 9 13 7 3 10 0.572333 83/85 RandomExcursions 8 6 10 7 10 5 7 8 11 13 0.624107 85/85 RandomExcursionsVariant 6 8 9 11 9 6 4 11 8 13 0.472584 85/85 RandomExcursionsVariant 6 10 9 8 7 9 8 16 9 3 0.180322 85/85 RandomExcursionsVariant 5 12 8 9 12 6 12 9 7 5 0.425817 84/85 RandomExcursionsVariant 4 9 15 9 6 12 11 7 7 5 0.146359 85/85 RandomExcursionsVariant 3 15 10 8 6 7 12 9 8 7 0.180322 84/85 RandomExcursionsVariant 9 11 7 9 7 9 8 9 9 7 0.989333 84/85 RandomExcursionsVariant 10 10 7 6 10 2 8 14 10 8 0.235285 84/85 RandomExcursionsVariant 7 9 10 9 7 9 12 5 6 11 0.752361 83/85 RandomExcursionsVariant 6 11 5 9 7 12 7 13 5 10 0.360699 85/85 RandomExcursionsVariant 7 9 6 12 4 13 7 8 9 10 0.472584 85/85 RandomExcursionsVariant 6 9 5 10 9 9 14 9 9 5 0.496841 84/85 RandomExcursionsVariant 10 13 7 6 5 5 10 5 11 13 0.192984 83/85 RandomExcursionsVariant 13 10 7 8 6 5 9 5 10 12 0.425817 84/85 RandomExcursionsVariant 14 8 9 8 8 8 4 11 5 10 0.403403 84/85 RandomExcursionsVariant 14 6 10 8 10 13 6 2 9 7 0.109597 84/85 RandomExcursionsVariant 10 12 7 9 7 10 10 5 10 5 0.676097 83/85 RandomExcursionsVariant 11 7 9 13 7 6 7 9 6 10 0.701879 83/85 RandomExcursionsVariant 18 8 11 10 7 7 8 12 11 8 0.350485 98/100 Serial 13 9 14 10 10 4 9 12 13 6 0.419021 99/100 Serial 11 10 9 12 12 11 9 11 7 8 0.978072 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 = 81 for a sample size = 85 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -