------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 42 24 41 42 23 33 26 31 25 33 0.065588 0.9906 Frequency 33 41 32 32 30 28 28 35 31 30 0.902994 0.9875 BlockFrequency 38 34 22 33 30 32 33 25 43 30 0.350485 0.9875 CumulativeSums 39 36 36 26 33 22 29 32 37 30 0.534146 0.9906 CumulativeSums 29 29 31 33 30 35 33 35 27 38 0.953553 0.9906 Runs 19 32 38 32 41 31 30 27 33 37 0.297739 0.9938 LongestRun 30 34 31 30 41 25 34 31 34 30 0.845066 0.9938 Rank 29 26 30 31 37 36 32 39 36 24 0.650132 0.9844 FFT 29 34 35 24 34 34 36 34 27 33 0.885045 0.9844 NonOverlappingTemplate 29 34 25 32 26 33 33 31 36 41 0.721016 0.9969 NonOverlappingTemplate 35 37 34 33 19 34 40 25 34 29 0.306892 0.9875 NonOverlappingTemplate 25 36 34 37 24 31 21 35 38 39 0.231505 0.9906 NonOverlappingTemplate 28 40 27 32 32 36 29 30 31 35 0.875539 0.9938 NonOverlappingTemplate 33 25 31 24 37 31 33 37 41 28 0.509162 0.9875 NonOverlappingTemplate 27 32 37 30 33 31 30 35 38 27 0.907251 0.9875 NonOverlappingTemplate 31 29 29 32 40 25 37 33 33 31 0.834308 0.9969 NonOverlappingTemplate 27 34 31 43 27 28 34 32 29 35 0.669618 0.9844 NonOverlappingTemplate 36 32 37 40 24 28 31 39 34 19 0.174249 0.9875 NonOverlappingTemplate 37 33 25 24 31 41 30 34 30 35 0.578763 0.9906 NonOverlappingTemplate 35 33 22 31 28 33 34 40 23 41 0.263075 0.9906 NonOverlappingTemplate 30 28 40 38 37 28 28 33 28 30 0.721016 0.9875 NonOverlappingTemplate 31 33 38 29 32 31 32 31 23 40 0.733647 0.9875 NonOverlappingTemplate 31 32 29 38 24 36 34 38 26 32 0.708280 0.9969 NonOverlappingTemplate 27 27 45 30 33 40 33 33 25 27 0.250878 0.9906 NonOverlappingTemplate 33 35 34 32 28 30 40 31 27 30 0.911413 0.9969 NonOverlappingTemplate 24 51 34 33 22 24 36 30 40 26 0.007940 0.9969 NonOverlappingTemplate 32 33 41 31 23 40 36 32 31 21 0.246908 0.9938 NonOverlappingTemplate 33 38 34 37 31 31 31 31 29 25 0.911413 0.9906 NonOverlappingTemplate 45 24 30 28 32 19 34 34 41 33 0.066882 0.9812 NonOverlappingTemplate 42 22 26 33 34 29 35 36 29 34 0.437274 0.9781 NonOverlappingTemplate 25 34 36 36 34 20 28 43 28 36 0.183422 0.9906 NonOverlappingTemplate 38 30 30 35 28 28 37 33 20 41 0.311542 0.9906 NonOverlappingTemplate 32 31 23 24 45 33 42 28 38 24 0.054923 0.9875 NonOverlappingTemplate 28 39 34 31 27 25 28 34 44 30 0.371101 0.9875 NonOverlappingTemplate 30 40 39 28 30 33 33 38 29 20 0.330628 1.0000 NonOverlappingTemplate 38 21 32 37 33 40 31 23 33 32 0.325784 0.9844 NonOverlappingTemplate 41 35 28 30 34 33 21 37 33 28 0.466606 0.9844 NonOverlappingTemplate 37 33 23 22 42 24 32 36 36 35 0.168344 0.9875 NonOverlappingTemplate 35 38 37 30 36 26 28 28 39 23 0.437274 0.9875 NonOverlappingTemplate 23 37 34 26 38 36 25 32 24 45 0.090936 0.9938 NonOverlappingTemplate 25 41 31 30 35 27 39 29 32 31 0.624107 0.9906 NonOverlappingTemplate 36 35 33 27 21 34 32 28 41 33 0.478598 0.9812 NonOverlappingTemplate 28 30 34 34 32 42 26 36 27 31 0.695458 0.9969 NonOverlappingTemplate 28 37 43 32 35 23 26 26 29 41 0.165455 0.9812 NonOverlappingTemplate 27 35 30 31 31 38 33 30 35 30 0.966721 0.9938 NonOverlappingTemplate 38 25 34 34 31 37 38 31 28 24 0.598138 1.0000 NonOverlappingTemplate 34 33 26 36 31 40 31 32 33 24 0.752361 0.9906 NonOverlappingTemplate 30 38 32 46 34 28 29 24 29 30 0.297739 0.9875 NonOverlappingTemplate 29 32 29 29 29 40 34 37 26 35 0.794626 0.9812 NonOverlappingTemplate 23 27 38 33 41 30 31 29 37 31 0.509162 1.0000 NonOverlappingTemplate 23 29 26 32 29 37 34 32 42 36 0.460664 0.9906 NonOverlappingTemplate 30 32 34 29 43 23 35 32 37 25 0.397907 0.9969 NonOverlappingTemplate 32 29 36 21 25 38 39 35 27 38 0.280017 0.9969 NonOverlappingTemplate 21 37 38 31 33 35 37 24 30 34 0.431525 0.9969 NonOverlappingTemplate 30 30 29 29 33 23 29 49 36 32 0.154304 0.9938 NonOverlappingTemplate 27 30 30 26 39 45 35 30 32 26 0.311542 1.0000 NonOverlappingTemplate 29 42 29 30 28 30 30 32 29 41 0.598138 0.9844 NonOverlappingTemplate 27 32 34 33 36 23 32 33 34 36 0.865697 0.9938 NonOverlappingTemplate 28 37 21 24 34 33 26 38 43 36 0.131500 0.9875 NonOverlappingTemplate 27 31 23 23 32 44 34 37 40 29 0.138761 0.9906 NonOverlappingTemplate 38 27 33 33 32 38 20 37 38 24 0.242986 0.9906 NonOverlappingTemplate 27 17 32 31 38 40 38 30 35 32 0.186566 0.9875 NonOverlappingTemplate 30 28 46 27 28 26 25 34 40 36 0.148968 1.0000 NonOverlappingTemplate 26 26 37 38 21 39 42 31 34 26 0.126842 0.9938 NonOverlappingTemplate 42 34 33 26 30 30 35 27 30 33 0.752361 0.9844 NonOverlappingTemplate 36 24 34 38 33 31 22 35 29 38 0.472584 0.9875 NonOverlappingTemplate 34 32 32 37 34 24 34 17 41 35 0.162606 0.9812 NonOverlappingTemplate 28 24 28 31 35 41 28 37 28 40 0.381687 0.9906 NonOverlappingTemplate 31 38 28 32 37 26 28 37 27 36 0.727346 0.9812 NonOverlappingTemplate 29 29 38 32 32 45 32 28 29 26 0.448892 0.9906 NonOverlappingTemplate 30 40 27 30 32 32 37 44 31 17 0.081137 0.9906 NonOverlappingTemplate 29 27 39 38 35 29 32 38 27 26 0.604619 0.9906 NonOverlappingTemplate 35 26 35 29 31 33 33 43 30 25 0.585209 0.9906 NonOverlappingTemplate 28 27 35 40 43 34 29 32 25 27 0.345449 0.9906 NonOverlappingTemplate 23 31 40 24 36 27 37 34 33 35 0.431525 0.9969 NonOverlappingTemplate 21 37 37 31 40 34 27 32 38 23 0.216856 1.0000 NonOverlappingTemplate 37 34 28 35 26 35 36 34 23 32 0.714660 0.9969 NonOverlappingTemplate 23 34 29 32 31 29 47 30 26 39 0.159799 0.9906 NonOverlappingTemplate 27 39 26 26 35 44 33 25 42 23 0.056025 0.9938 NonOverlappingTemplate 29 27 29 35 28 39 40 26 27 40 0.387049 0.9938 NonOverlappingTemplate 36 30 31 30 40 34 24 26 33 36 0.682565 0.9844 NonOverlappingTemplate 26 23 29 37 33 33 39 36 33 31 0.650132 0.9875 NonOverlappingTemplate 29 33 36 24 33 35 36 34 28 32 0.894201 0.9844 NonOverlappingTemplate 25 38 44 25 28 33 29 24 35 39 0.148968 0.9938 NonOverlappingTemplate 39 31 29 34 32 24 27 35 40 29 0.604619 0.9875 NonOverlappingTemplate 29 26 34 19 35 28 39 41 34 35 0.209809 0.9844 NonOverlappingTemplate 33 32 32 32 26 32 28 34 35 36 0.979155 0.9938 NonOverlappingTemplate 25 24 36 35 37 25 40 31 30 37 0.387049 0.9875 NonOverlappingTemplate 21 27 26 32 39 36 35 33 27 44 0.148968 0.9969 NonOverlappingTemplate 30 24 39 34 40 33 29 33 28 30 0.663130 0.9938 NonOverlappingTemplate 31 29 31 30 28 36 30 35 33 37 0.975409 0.9938 NonOverlappingTemplate 25 42 33 28 38 21 38 23 34 38 0.090936 0.9938 NonOverlappingTemplate 25 22 35 36 34 31 38 32 33 34 0.650132 0.9812 NonOverlappingTemplate 40 26 22 26 36 30 42 33 34 31 0.254895 1.0000 NonOverlappingTemplate 25 31 28 35 33 26 41 28 35 38 0.540457 0.9750 NonOverlappingTemplate 32 38 39 29 28 31 28 38 31 26 0.714660 0.9875 NonOverlappingTemplate 24 27 33 33 36 31 29 29 37 41 0.611108 0.9969 NonOverlappingTemplate 25 39 33 37 32 28 37 30 18 41 0.124566 0.9969 NonOverlappingTemplate 23 31 41 35 30 22 35 35 33 35 0.392456 0.9906 NonOverlappingTemplate 36 30 32 38 37 32 20 26 34 35 0.478598 0.9844 NonOverlappingTemplate 29 42 37 34 27 30 28 30 33 30 0.739918 0.9938 NonOverlappingTemplate 25 26 44 30 41 33 31 34 26 30 0.258961 0.9969 NonOverlappingTemplate 42 29 32 38 35 33 30 16 29 36 0.131500 0.9906 NonOverlappingTemplate 25 31 38 27 31 32 40 34 25 37 0.540457 0.9906 NonOverlappingTemplate 33 23 31 47 33 34 26 37 28 28 0.177264 0.9844 NonOverlappingTemplate 25 36 32 32 30 33 33 35 29 35 0.961765 1.0000 NonOverlappingTemplate 28 34 26 28 35 30 36 36 39 28 0.770741 0.9875 NonOverlappingTemplate 28 24 31 40 29 38 42 27 31 30 0.350485 1.0000 NonOverlappingTemplate 28 27 26 33 28 32 37 35 37 37 0.782780 0.9844 NonOverlappingTemplate 32 37 30 27 37 26 34 32 30 35 0.902994 0.9906 NonOverlappingTemplate 30 25 42 22 44 39 25 33 33 27 0.060636 0.9844 NonOverlappingTemplate 21 34 38 29 30 33 30 35 38 32 0.637119 0.9875 NonOverlappingTemplate 26 35 34 39 34 39 16 25 38 34 0.078086 0.9875 NonOverlappingTemplate 25 34 30 28 44 35 34 31 29 30 0.572333 0.9938 NonOverlappingTemplate 41 36 33 18 40 29 33 43 18 29 0.009924 0.9875 NonOverlappingTemplate 28 28 27 41 38 27 31 36 33 31 0.656634 0.9969 NonOverlappingTemplate 29 32 30 31 31 36 27 32 34 38 0.964295 0.9875 NonOverlappingTemplate 29 24 37 25 30 36 33 35 34 37 0.695458 0.9969 NonOverlappingTemplate 32 35 35 26 30 40 27 30 29 36 0.788728 0.9750 NonOverlappingTemplate 26 42 34 33 33 28 29 33 35 27 0.708280 0.9906 NonOverlappingTemplate 31 27 42 33 31 26 36 30 41 23 0.288780 0.9906 NonOverlappingTemplate 36 29 38 25 36 19 30 43 30 34 0.146359 0.9844 NonOverlappingTemplate 38 27 30 34 25 31 35 35 39 26 0.643627 0.9844 NonOverlappingTemplate 53 26 21 25 33 38 29 40 32 23 0.001904 0.9812 NonOverlappingTemplate 33 27 33 36 31 40 39 37 22 22 0.216856 0.9875 NonOverlappingTemplate 30 23 26 36 34 26 34 48 28 35 0.107591 0.9969 NonOverlappingTemplate 33 32 41 39 29 30 36 27 23 30 0.490727 0.9844 NonOverlappingTemplate 33 37 23 44 27 34 22 34 32 34 0.206354 0.9938 NonOverlappingTemplate 33 31 28 34 28 38 38 30 27 33 0.885045 0.9875 NonOverlappingTemplate 49 27 34 25 28 27 39 27 35 29 0.075138 0.9875 NonOverlappingTemplate 37 26 24 36 34 40 30 36 23 34 0.365877 0.9938 NonOverlappingTemplate 31 33 29 26 39 38 33 30 34 27 0.817667 0.9969 NonOverlappingTemplate 34 29 35 38 46 32 31 24 29 22 0.146359 0.9750 NonOverlappingTemplate 36 32 25 25 30 26 40 38 26 42 0.202944 0.9906 NonOverlappingTemplate 41 34 26 30 36 21 30 41 29 32 0.267238 0.9875 NonOverlappingTemplate 29 38 29 29 30 34 21 39 40 31 0.387049 0.9875 NonOverlappingTemplate 33 40 35 39 28 28 21 42 22 32 0.094427 0.9719 * NonOverlappingTemplate 23 35 44 29 37 36 33 30 24 29 0.254895 0.9875 NonOverlappingTemplate 32 33 19 37 36 30 29 35 37 32 0.527860 0.9906 NonOverlappingTemplate 30 21 29 28 33 33 36 36 34 40 0.546791 0.9844 NonOverlappingTemplate 29 40 34 38 25 33 37 25 38 21 0.196260 0.9906 NonOverlappingTemplate 32 28 30 20 36 42 39 38 25 30 0.159799 0.9938 NonOverlappingTemplate 21 43 38 40 26 40 30 25 31 26 0.054923 0.9938 NonOverlappingTemplate 29 31 31 33 33 25 33 33 41 31 0.870659 0.9875 NonOverlappingTemplate 32 21 40 23 30 38 30 37 39 30 0.206354 0.9781 NonOverlappingTemplate 40 34 30 33 26 28 30 22 40 37 0.355569 0.9938 NonOverlappingTemplate 35 35 31 35 29 25 31 31 22 46 0.213309 0.9906 NonOverlappingTemplate 28 28 22 34 34 28 39 40 36 31 0.443063 0.9969 NonOverlappingTemplate 32 28 38 33 38 37 32 29 28 25 0.752361 0.9812 NonOverlappingTemplate 35 30 34 29 28 32 25 38 39 30 0.776784 0.9938 NonOverlappingTemplate 25 26 29 41 28 42 37 31 30 31 0.345449 0.9906 NonOverlappingTemplate 28 27 31 43 31 39 28 28 30 35 0.527860 0.9969 NonOverlappingTemplate 26 38 34 41 32 23 24 39 27 36 0.199580 0.9969 NonOverlappingTemplate 26 35 37 33 29 38 26 35 34 27 0.746157 0.9875 NonOverlappingTemplate 22 36 36 30 34 25 39 23 35 40 0.199580 1.0000 NonOverlappingTemplate 25 24 29 37 34 32 39 36 33 31 0.656634 0.9875 NonOverlappingTemplate 31 30 31 40 19 30 32 38 35 34 0.425817 0.9938 OverlappingTemplate 38 30 30 24 36 37 25 39 29 32 0.534146 0.9875 Universal 29 34 39 35 29 30 41 29 34 20 0.345449 0.9938 ApproximateEntropy 23 22 21 22 18 20 23 13 15 18 0.765940 0.9949 RandomExcursions 22 17 28 19 21 17 17 19 14 21 0.626161 0.9897 RandomExcursions 20 26 27 19 15 19 15 20 15 19 0.477012 0.9795 RandomExcursions 14 18 16 20 15 24 23 23 25 17 0.550133 0.9795 RandomExcursions 13 20 19 19 16 28 17 20 26 17 0.372206 1.0000 RandomExcursions 19 19 19 27 18 20 21 15 14 23 0.669959 0.9949 RandomExcursions 14 32 26 15 23 24 14 16 17 14 0.024313 0.9897 RandomExcursions 22 19 11 23 17 24 21 26 17 15 0.346241 0.9949 RandomExcursions 22 24 15 18 19 20 25 19 15 18 0.786230 0.9897 RandomExcursionsVariant 19 24 19 20 16 31 19 20 21 6 0.029021 0.9795 RandomExcursionsVariant 19 21 23 27 17 21 19 15 18 15 0.680864 0.9795 RandomExcursionsVariant 22 19 25 32 18 21 8 13 13 24 0.006196 0.9846 RandomExcursionsVariant 18 31 21 29 16 15 21 14 16 14 0.038352 0.9846 RandomExcursionsVariant 21 25 22 16 22 17 14 20 19 19 0.825037 0.9846 RandomExcursionsVariant 15 25 25 13 19 22 22 15 17 22 0.437274 0.9846 RandomExcursionsVariant 18 19 21 16 18 19 23 25 19 17 0.927864 0.9744 RandomExcursionsVariant 19 22 21 15 22 22 15 20 21 18 0.933948 0.9846 RandomExcursionsVariant 22 21 17 18 19 15 24 20 23 16 0.877569 0.9897 RandomExcursionsVariant 17 17 21 15 15 30 15 19 14 32 0.019608 1.0000 RandomExcursionsVariant 23 13 15 18 17 28 23 23 24 11 0.106445 0.9897 RandomExcursionsVariant 24 13 17 27 15 19 18 17 26 19 0.313515 0.9949 RandomExcursionsVariant 21 13 22 20 23 16 16 18 25 21 0.680864 0.9846 RandomExcursionsVariant 22 16 17 13 20 21 28 13 25 20 0.247948 0.9897 RandomExcursionsVariant 23 13 15 19 24 12 22 19 26 22 0.275709 0.9897 RandomExcursionsVariant 19 14 22 16 21 19 22 25 18 19 0.843386 0.9897 RandomExcursionsVariant 17 14 27 21 22 21 17 19 18 19 0.734639 0.9949 RandomExcursionsVariant 35 36 33 26 29 25 34 35 37 30 0.828826 0.9906 Serial 25 35 34 27 25 44 34 25 37 34 0.254895 0.9906 Serial 22 50 23 30 32 39 37 37 24 26 0.008491 0.9906 LinearComplexity - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - The minimum pass rate for each statistical test with the exception of the random excursion (variant) test is approximately = 0.973314 for a sample size = 320 binary sequences. The minimum pass rate for the random excursion (variant) test is approximately 0.968624 for a sample size = 195 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -