------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 103 96 110 110 93 122 87 87 90 102 0.213309 0.9950 Frequency 96 101 112 103 91 101 95 97 108 96 0.932333 0.9990 * BlockFrequency 95 105 105 125 98 95 103 95 103 76 0.142062 0.9950 CumulativeSums 94 99 92 120 113 96 101 96 93 96 0.566688 0.9930 CumulativeSums 101 96 104 101 98 111 115 92 89 93 0.721777 0.9910 Runs 100 76 113 102 105 104 98 103 102 97 0.518106 0.9910 LongestRun 104 115 88 98 117 90 93 102 100 93 0.455937 0.9910 Rank 100 88 100 105 109 84 104 100 115 95 0.562591 0.9890 FFT 115 99 101 92 98 93 93 105 104 100 0.887645 0.9860 NonOverlappingTemplate 99 112 100 95 107 112 105 81 94 95 0.524101 0.9890 NonOverlappingTemplate 100 116 110 87 101 110 92 97 99 88 0.490483 0.9830 NonOverlappingTemplate 117 94 102 105 91 108 96 93 105 89 0.626709 0.9920 NonOverlappingTemplate 102 114 104 95 104 97 86 93 102 103 0.812905 0.9940 NonOverlappingTemplate 129 81 101 89 88 108 89 118 102 95 0.017546 0.9820 NonOverlappingTemplate 101 102 89 104 104 94 115 105 104 82 0.550347 0.9870 NonOverlappingTemplate 97 94 108 103 104 92 109 106 110 77 0.397688 0.9880 NonOverlappingTemplate 90 104 94 104 102 102 104 110 94 96 0.944274 0.9930 NonOverlappingTemplate 98 89 128 98 115 104 88 93 100 87 0.086634 0.9910 NonOverlappingTemplate 108 101 97 104 128 97 96 88 93 88 0.193767 0.9850 NonOverlappingTemplate 111 94 98 88 93 99 97 94 116 110 0.579021 0.9880 NonOverlappingTemplate 89 102 95 99 108 93 96 104 118 96 0.703417 0.9930 NonOverlappingTemplate 97 98 99 112 98 98 100 107 99 92 0.971699 0.9950 NonOverlappingTemplate 117 96 101 92 94 97 90 113 100 100 0.653773 0.9820 NonOverlappingTemplate 96 91 106 97 85 103 109 112 97 104 0.713641 0.9880 NonOverlappingTemplate 83 92 105 105 104 112 95 106 106 92 0.612147 0.9900 NonOverlappingTemplate 75 90 101 103 100 98 113 116 116 88 0.074791 0.9920 NonOverlappingTemplate 97 96 110 102 99 99 96 98 109 94 0.975644 0.9960 NonOverlappingTemplate 84 117 99 98 96 102 98 98 93 115 0.482707 0.9900 NonOverlappingTemplate 98 108 92 110 128 98 96 86 91 93 0.136499 0.9910 NonOverlappingTemplate 89 87 105 82 108 96 95 119 104 115 0.142872 0.9890 NonOverlappingTemplate 87 116 108 103 106 89 90 96 103 102 0.550347 0.9920 NonOverlappingTemplate 98 95 93 89 99 111 102 101 107 105 0.911413 0.9960 NonOverlappingTemplate 89 99 111 92 93 106 110 94 110 96 0.695200 0.9880 NonOverlappingTemplate 109 88 107 99 134 92 94 85 89 103 0.026410 0.9880 NonOverlappingTemplate 95 86 104 86 116 100 103 100 104 106 0.585209 0.9930 NonOverlappingTemplate 102 88 106 88 101 99 115 107 81 113 0.253122 0.9850 NonOverlappingTemplate 93 105 99 108 99 97 88 80 113 118 0.221317 0.9960 NonOverlappingTemplate 102 72 102 110 92 94 123 102 97 106 0.073417 0.9930 NonOverlappingTemplate 108 99 94 102 91 101 92 100 123 90 0.455937 0.9890 NonOverlappingTemplate 115 111 92 91 94 99 94 107 98 99 0.721777 0.9900 NonOverlappingTemplate 98 93 108 108 118 111 83 84 92 105 0.181557 0.9860 NonOverlappingTemplate 99 81 84 104 101 101 117 98 117 98 0.201189 0.9920 NonOverlappingTemplate 99 104 81 92 108 120 84 98 90 124 0.030602 0.9890 NonOverlappingTemplate 94 108 108 98 100 90 95 117 86 104 0.540204 0.9970 NonOverlappingTemplate 102 109 96 94 101 96 117 106 96 83 0.550347 0.9940 NonOverlappingTemplate 99 106 115 101 96 82 94 101 110 96 0.579021 0.9920 NonOverlappingTemplate 88 107 92 105 91 81 121 107 113 95 0.119508 0.9900 NonOverlappingTemplate 98 102 107 86 96 110 105 104 91 101 0.841226 0.9870 NonOverlappingTemplate 107 98 93 105 111 98 104 95 86 103 0.836048 0.9920 NonOverlappingTemplate 106 94 99 98 97 95 100 102 110 99 0.988677 0.9820 NonOverlappingTemplate 104 97 93 111 89 95 114 102 94 101 0.761719 0.9830 NonOverlappingTemplate 90 105 84 100 98 101 107 101 91 123 0.314544 0.9880 NonOverlappingTemplate 100 93 90 112 105 102 98 104 98 98 0.941144 0.9920 NonOverlappingTemplate 91 90 116 100 109 95 94 121 88 96 0.224821 0.9880 NonOverlappingTemplate 103 107 89 89 79 108 96 116 103 110 0.221317 0.9880 NonOverlappingTemplate 105 91 88 96 117 117 80 100 108 98 0.157251 0.9900 NonOverlappingTemplate 106 97 95 109 88 102 105 102 105 91 0.887645 0.9910 NonOverlappingTemplate 122 82 74 97 95 92 107 108 115 108 0.018926 0.9900 NonOverlappingTemplate 105 108 108 93 89 98 105 100 104 90 0.861264 0.9880 NonOverlappingTemplate 94 107 99 72 102 113 98 118 95 102 0.122325 0.9900 NonOverlappingTemplate 107 99 96 102 91 80 115 89 120 101 0.163513 0.9920 NonOverlappingTemplate 95 93 115 107 106 94 100 77 124 89 0.057875 0.9940 NonOverlappingTemplate 104 103 97 103 114 100 100 93 94 92 0.919131 0.9830 NonOverlappingTemplate 99 97 101 127 90 106 119 72 97 92 0.012920 0.9920 NonOverlappingTemplate 106 104 91 116 91 117 87 93 91 104 0.293952 0.9930 NonOverlappingTemplate 91 84 103 89 106 116 133 101 95 82 0.008943 0.9840 NonOverlappingTemplate 93 88 107 98 89 102 109 131 86 97 0.063217 0.9940 NonOverlappingTemplate 86 114 97 105 104 103 103 99 89 100 0.757790 0.9960 NonOverlappingTemplate 98 89 106 105 85 91 118 119 89 100 0.163513 0.9930 NonOverlappingTemplate 103 106 121 105 87 105 88 119 70 96 0.011545 0.9920 NonOverlappingTemplate 100 100 112 103 92 105 80 116 105 87 0.281232 0.9850 NonOverlappingTemplate 105 94 90 103 91 97 126 94 98 102 0.366918 0.9870 NonOverlappingTemplate 96 95 113 108 112 86 99 97 97 97 0.697257 0.9880 NonOverlappingTemplate 113 95 93 118 110 94 96 103 92 86 0.360287 0.9870 NonOverlappingTemplate 120 105 116 88 75 110 109 93 95 89 0.032274 0.9890 NonOverlappingTemplate 80 98 109 99 116 89 105 114 87 103 0.180568 0.9950 NonOverlappingTemplate 115 87 94 108 98 84 111 99 118 86 0.123755 0.9900 NonOverlappingTemplate 97 86 97 102 108 87 97 106 104 116 0.566688 0.9930 NonOverlappingTemplate 90 109 96 101 104 109 97 94 94 106 0.903338 0.9900 NonOverlappingTemplate 94 96 84 109 89 110 107 106 102 103 0.628790 0.9920 NonOverlappingTemplate 112 100 96 110 101 91 114 89 96 91 0.579021 0.9890 NonOverlappingTemplate 97 98 84 114 97 89 102 90 112 117 0.254411 0.9920 NonOverlappingTemplate 115 99 100 94 97 93 92 107 104 99 0.875539 0.9860 NonOverlappingTemplate 90 103 90 109 100 92 98 116 106 96 0.672470 0.9950 NonOverlappingTemplate 96 101 105 91 113 90 98 99 105 102 0.893482 0.9940 NonOverlappingTemplate 113 102 117 97 103 95 98 89 97 89 0.574903 0.9870 NonOverlappingTemplate 117 112 95 95 97 107 95 97 95 90 0.637119 0.9930 NonOverlappingTemplate 114 106 105 103 97 89 103 96 98 89 0.792508 0.9850 NonOverlappingTemplate 105 99 86 105 103 111 95 94 88 114 0.556460 0.9860 NonOverlappingTemplate 97 117 90 104 88 101 119 97 87 100 0.277082 0.9900 NonOverlappingTemplate 107 90 78 101 109 90 111 110 105 99 0.302657 0.9950 NonOverlappingTemplate 99 109 109 72 118 102 100 102 97 92 0.140453 0.9910 NonOverlappingTemplate 92 101 103 96 101 114 98 88 108 99 0.834308 0.9950 NonOverlappingTemplate 105 115 109 109 89 82 93 95 100 103 0.401199 0.9900 NonOverlappingTemplate 108 96 102 91 82 109 100 101 107 104 0.703417 0.9850 NonOverlappingTemplate 96 116 98 83 101 98 104 104 115 85 0.310049 0.9870 NonOverlappingTemplate 95 86 105 112 102 89 124 100 98 89 0.204439 0.9910 NonOverlappingTemplate 109 96 120 89 91 103 115 77 93 107 0.075719 0.9900 NonOverlappingTemplate 99 93 109 113 97 103 92 97 82 115 0.401199 0.9940 NonOverlappingTemplate 94 102 111 106 92 107 100 91 100 97 0.911413 0.9910 NonOverlappingTemplate 101 93 93 98 94 94 107 97 93 130 0.223648 0.9850 NonOverlappingTemplate 99 90 107 90 92 99 108 113 100 102 0.786830 0.9920 NonOverlappingTemplate 117 100 96 95 118 96 112 82 83 101 0.112708 0.9900 NonOverlappingTemplate 102 92 112 93 90 115 96 103 96 101 0.711601 0.9890 NonOverlappingTemplate 95 99 108 87 101 104 109 85 114 98 0.552383 0.9890 NonOverlappingTemplate 99 103 103 105 93 94 94 92 114 103 0.887645 0.9880 NonOverlappingTemplate 100 112 101 116 99 106 96 84 95 91 0.518106 0.9900 NonOverlappingTemplate 92 107 110 101 107 104 84 89 102 104 0.662091 0.9850 NonOverlappingTemplate 87 111 84 88 105 92 105 114 117 97 0.163513 0.9910 NonOverlappingTemplate 100 87 106 101 99 106 87 105 100 109 0.818343 0.9890 NonOverlappingTemplate 107 93 91 101 88 111 101 102 104 102 0.859637 0.9910 NonOverlappingTemplate 109 106 106 105 92 106 103 100 82 91 0.645448 0.9830 NonOverlappingTemplate 101 100 109 117 92 101 96 86 101 97 0.680755 0.9880 NonOverlappingTemplate 98 106 99 93 88 102 104 94 102 114 0.842937 0.9840 NonOverlappingTemplate 115 84 93 96 114 94 103 84 97 120 0.104993 0.9930 NonOverlappingTemplate 98 97 108 91 110 93 99 105 107 92 0.878618 0.9920 NonOverlappingTemplate 92 94 87 100 104 124 105 105 91 98 0.353733 0.9920 NonOverlappingTemplate 80 107 99 108 94 100 100 105 101 106 0.727851 0.9910 NonOverlappingTemplate 105 97 107 108 100 92 89 100 97 105 0.932333 0.9890 NonOverlappingTemplate 111 101 101 82 102 88 102 96 109 108 0.574903 0.9890 NonOverlappingTemplate 108 86 107 92 94 96 99 117 101 100 0.620465 0.9900 NonOverlappingTemplate 101 96 102 92 115 110 112 105 86 81 0.251837 0.9910 NonOverlappingTemplate 112 108 98 94 96 103 109 105 84 91 0.620465 0.9880 NonOverlappingTemplate 91 84 98 111 82 94 123 103 100 114 0.076658 0.9900 NonOverlappingTemplate 100 94 108 102 99 93 89 113 104 98 0.864494 0.9920 NonOverlappingTemplate 109 103 106 78 110 108 101 99 99 87 0.395940 0.9900 NonOverlappingTemplate 107 95 98 95 108 98 78 119 93 109 0.245490 0.9810 * NonOverlappingTemplate 95 99 92 107 104 99 97 106 102 99 0.990483 0.9850 NonOverlappingTemplate 104 114 99 100 105 89 112 92 94 91 0.653773 0.9910 NonOverlappingTemplate 93 98 102 97 114 97 107 98 108 86 0.755819 0.9900 NonOverlappingTemplate 95 91 96 92 113 91 107 100 116 99 0.593478 0.9900 NonOverlappingTemplate 95 118 95 102 87 93 108 99 91 112 0.450297 0.9930 NonOverlappingTemplate 121 92 99 79 90 116 95 117 84 107 0.023386 0.9850 NonOverlappingTemplate 108 95 93 95 116 107 88 99 102 97 0.713641 0.9900 NonOverlappingTemplate 83 102 102 95 103 111 102 89 105 108 0.672470 0.9910 NonOverlappingTemplate 97 101 100 107 96 83 98 93 110 115 0.593478 0.9920 NonOverlappingTemplate 106 93 98 105 106 103 96 88 105 100 0.944274 0.9930 NonOverlappingTemplate 94 94 104 96 94 106 92 105 110 105 0.917870 0.9900 NonOverlappingTemplate 114 105 97 108 90 83 101 100 104 98 0.632955 0.9900 NonOverlappingTemplate 102 107 95 93 94 89 110 113 114 83 0.320607 0.9910 NonOverlappingTemplate 113 92 101 107 97 111 106 93 98 82 0.508172 0.9830 NonOverlappingTemplate 87 96 107 110 99 116 101 104 83 97 0.431754 0.9920 NonOverlappingTemplate 91 103 114 106 99 92 109 104 94 88 0.674543 0.9870 NonOverlappingTemplate 115 100 97 91 95 100 104 99 98 101 0.934599 0.9900 NonOverlappingTemplate 90 92 121 87 89 88 104 104 118 107 0.107512 0.9870 NonOverlappingTemplate 118 98 106 94 87 107 98 96 113 83 0.278461 0.9860 NonOverlappingTemplate 104 106 87 107 105 93 96 107 93 102 0.866097 0.9900 NonOverlappingTemplate 91 104 101 107 114 108 98 87 96 94 0.707513 0.9910 NonOverlappingTemplate 97 95 92 100 107 104 103 114 85 103 0.737915 0.9930 NonOverlappingTemplate 98 102 89 98 97 108 109 100 94 105 0.942198 0.9920 NonOverlappingTemplate 100 93 95 99 106 84 116 118 80 109 0.112708 0.9930 NonOverlappingTemplate 96 89 114 88 91 126 91 98 118 89 0.039587 0.9910 NonOverlappingTemplate 79 118 101 86 99 96 105 97 100 119 0.131879 0.9900 NonOverlappingTemplate 87 109 101 115 110 100 99 91 91 97 0.587274 0.9910 NonOverlappingTemplate 93 109 93 98 88 122 102 99 95 101 0.492436 0.9900 NonOverlappingTemplate 97 98 84 114 96 90 102 90 113 116 0.268917 0.9920 NonOverlappingTemplate 99 98 104 119 95 80 95 93 107 110 0.326749 0.9860 OverlappingTemplate 118 111 96 111 100 99 94 74 92 105 0.128132 0.9900 Universal 107 95 107 90 112 101 106 102 83 97 0.630872 0.9860 ApproximateEntropy 56 63 70 62 59 54 67 59 61 57 0.926088 0.9852 RandomExcursions 68 71 67 70 50 67 49 56 46 64 0.127148 0.9852 RandomExcursions 57 66 58 53 73 64 62 61 53 61 0.775980 0.9885 RandomExcursions 73 70 64 50 63 64 58 55 57 54 0.527442 0.9819 RandomExcursions 71 67 62 56 65 52 62 61 57 55 0.807412 0.9836 RandomExcursions 63 57 50 76 64 77 61 46 66 48 0.040108 0.9868 RandomExcursions 72 58 62 53 58 74 75 53 51 52 0.134686 0.9918 RandomExcursions 61 68 59 54 82 64 50 61 55 54 0.175049 0.9836 RandomExcursions 66 67 72 55 61 53 61 60 63 50 0.647530 0.9786 * RandomExcursionsVariant 64 79 67 59 49 64 63 51 63 49 0.159613 0.9819 RandomExcursionsVariant 71 68 75 54 58 58 62 64 56 42 0.138596 0.9836 RandomExcursionsVariant 67 75 70 61 74 56 49 54 47 55 0.074945 0.9868 RandomExcursionsVariant 64 74 68 81 55 58 47 62 54 45 0.020085 0.9852 RandomExcursionsVariant 66 71 73 55 55 56 66 51 59 56 0.459086 0.9868 RandomExcursionsVariant 81 49 65 58 52 71 54 64 60 54 0.108791 0.9885 RandomExcursionsVariant 69 61 63 52 54 58 66 54 79 52 0.240914 0.9868 RandomExcursionsVariant 73 57 51 60 64 69 61 60 52 61 0.633649 0.9836 RandomExcursionsVariant 60 67 67 60 63 58 63 51 58 61 0.944616 0.9918 RandomExcursionsVariant 68 70 64 56 60 60 58 66 44 62 0.507512 0.9885 RandomExcursionsVariant 71 64 62 62 52 59 53 68 53 64 0.692455 0.9868 RandomExcursionsVariant 56 66 70 69 58 50 62 60 62 55 0.723129 0.9918 RandomExcursionsVariant 53 66 73 66 66 68 56 54 52 54 0.434203 0.9836 RandomExcursionsVariant 52 66 61 66 68 69 58 65 53 50 0.568055 0.9868 RandomExcursionsVariant 53 67 60 62 57 67 63 63 60 56 0.954321 0.9901 RandomExcursionsVariant 63 47 70 48 62 63 66 61 68 60 0.443451 0.9901 RandomExcursionsVariant 66 50 54 55 59 63 70 55 63 73 0.484646 0.9918 RandomExcursionsVariant 108 97 81 103 95 106 103 103 102 102 0.807412 0.9930 Serial 100 83 94 87 88 114 108 105 117 104 0.197981 0.9870 Serial 91 98 82 107 107 97 105 97 103 113 0.607993 0.9880 LinearComplexity - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - The minimum pass rate for each statistical test with the exception of the random excursion (variant) test is approximately = 0.981819 for a sample size = 1000 binary sequences. The minimum pass rate for the random excursion (variant) test is approximately 0.979508 for a sample size = 608 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -