------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 88 85 109 111 102 101 99 98 90 117 0.375313 0.9900 Frequency 102 94 97 96 111 100 104 96 105 95 0.975644 0.9920 BlockFrequency 98 89 94 106 92 96 95 90 108 132 0.093720 0.9890 CumulativeSums 87 93 99 104 87 94 106 89 110 131 0.055714 0.9910 CumulativeSums 113 99 92 84 94 105 94 114 95 110 0.429923 0.9860 Runs 117 111 124 93 86 99 91 100 96 83 0.063217 0.9870 LongestRun 85 94 89 117 101 98 110 100 108 98 0.490483 0.9960 Rank 123 101 105 95 121 89 100 92 89 85 0.077607 0.9850 FFT 109 90 91 107 108 97 97 112 94 95 0.741918 0.9850 NonOverlappingTemplate 109 92 102 97 91 96 90 107 109 107 0.803720 0.9890 NonOverlappingTemplate 108 103 106 89 113 102 79 104 108 88 0.298282 0.9930 NonOverlappingTemplate 100 116 118 99 103 97 90 99 85 93 0.371941 0.9890 NonOverlappingTemplate 97 81 84 97 103 114 92 121 119 92 0.038818 0.9900 NonOverlappingTemplate 112 104 87 72 105 92 98 108 107 115 0.079538 0.9830 NonOverlappingTemplate 109 90 90 114 101 93 91 101 97 114 0.520102 0.9880 NonOverlappingTemplate 111 99 100 98 104 106 84 99 104 95 0.854708 0.9920 NonOverlappingTemplate 104 92 96 101 105 92 108 100 111 91 0.873987 0.9890 NonOverlappingTemplate 97 97 107 108 115 82 106 103 96 89 0.473064 0.9900 NonOverlappingTemplate 104 83 106 99 102 90 105 91 104 116 0.510153 0.9870 NonOverlappingTemplate 95 97 117 91 95 94 109 101 94 107 0.707513 0.9890 NonOverlappingTemplate 98 74 117 109 103 101 99 96 91 112 0.161703 0.9920 NonOverlappingTemplate 113 113 86 101 106 93 105 102 94 87 0.480771 0.9910 NonOverlappingTemplate 91 108 104 105 94 101 109 92 87 109 0.721777 0.9930 NonOverlappingTemplate 95 96 115 113 104 105 102 86 95 89 0.512137 0.9900 NonOverlappingTemplate 90 119 99 99 95 97 98 103 104 96 0.796268 0.9920 NonOverlappingTemplate 115 89 93 109 106 99 104 98 92 95 0.717714 0.9940 NonOverlappingTemplate 88 94 102 90 120 112 94 103 99 98 0.457825 0.9910 NonOverlappingTemplate 94 94 87 109 107 96 104 106 101 102 0.880145 0.9870 NonOverlappingTemplate 113 99 93 124 104 93 111 77 100 86 0.047785 0.9870 NonOverlappingTemplate 113 94 115 112 108 84 96 102 87 89 0.211064 0.9870 NonOverlappingTemplate 92 100 101 109 97 95 81 104 108 113 0.544254 0.9920 NonOverlappingTemplate 88 97 94 116 97 96 95 106 118 93 0.433590 0.9910 NonOverlappingTemplate 91 119 98 114 97 101 96 95 101 88 0.496351 0.9870 NonOverlappingTemplate 94 104 110 108 107 81 102 99 111 84 0.344048 0.9910 NonOverlappingTemplate 93 92 102 103 99 114 102 93 94 108 0.854708 0.9910 NonOverlappingTemplate 97 95 92 104 120 93 85 115 90 109 0.216713 0.9860 NonOverlappingTemplate 110 92 92 87 105 106 109 81 105 113 0.279844 0.9940 NonOverlappingTemplate 103 105 93 100 103 111 104 113 92 76 0.320607 0.9930 NonOverlappingTemplate 113 110 93 82 91 116 97 107 99 92 0.274341 0.9900 NonOverlappingTemplate 95 86 87 110 102 90 97 96 126 111 0.116746 0.9900 NonOverlappingTemplate 104 100 98 95 85 110 104 114 87 103 0.574903 0.9920 NonOverlappingTemplate 103 102 112 114 98 89 81 99 109 93 0.375313 0.9900 NonOverlappingTemplate 97 97 105 102 97 95 107 111 98 91 0.948298 0.9940 NonOverlappingTemplate 105 95 91 93 88 118 90 117 106 97 0.288249 0.9900 NonOverlappingTemplate 99 101 108 99 99 98 100 104 86 106 0.955835 0.9900 NonOverlappingTemplate 106 100 95 97 94 101 106 102 88 111 0.903338 0.9930 NonOverlappingTemplate 100 119 97 102 97 85 104 102 100 94 0.674543 0.9910 NonOverlappingTemplate 107 95 121 86 90 107 101 105 95 93 0.383827 0.9960 NonOverlappingTemplate 88 94 103 88 103 91 104 104 109 116 0.542228 0.9920 NonOverlappingTemplate 92 86 105 101 103 105 93 96 108 111 0.769527 0.9900 NonOverlappingTemplate 104 96 106 101 93 101 88 104 117 90 0.670396 0.9900 NonOverlappingTemplate 108 99 92 100 90 95 108 97 115 96 0.771469 0.9930 NonOverlappingTemplate 99 110 101 120 111 87 101 89 90 92 0.291091 0.9910 NonOverlappingTemplate 113 108 106 101 86 109 103 77 101 96 0.274341 0.9880 NonOverlappingTemplate 88 89 105 114 108 104 95 90 83 124 0.076658 0.9930 NonOverlappingTemplate 92 90 108 102 93 93 113 120 95 94 0.383827 0.9900 NonOverlappingTemplate 94 105 120 89 100 94 92 111 109 86 0.289667 0.9900 NonOverlappingTemplate 77 92 90 128 98 102 109 107 93 104 0.051942 0.9930 NonOverlappingTemplate 102 109 107 101 91 94 104 106 90 96 0.897763 0.9950 NonOverlappingTemplate 95 97 114 95 120 84 99 103 101 92 0.361938 0.9920 NonOverlappingTemplate 91 100 111 82 90 113 108 123 95 87 0.070737 0.9890 NonOverlappingTemplate 101 93 101 106 98 105 103 98 104 91 0.986658 0.9920 NonOverlappingTemplate 100 108 91 104 112 97 99 99 104 86 0.809249 0.9910 NonOverlappingTemplate 106 106 89 114 96 91 106 110 93 89 0.542228 0.9930 NonOverlappingTemplate 107 92 104 97 97 103 100 98 107 95 0.984881 0.9930 NonOverlappingTemplate 84 106 98 103 114 102 103 104 94 92 0.709558 0.9930 NonOverlappingTemplate 93 79 114 90 90 102 113 102 110 107 0.206629 0.9870 NonOverlappingTemplate 115 86 97 87 109 107 88 97 103 111 0.340858 0.9890 NonOverlappingTemplate 103 77 109 106 121 87 106 98 103 90 0.117432 0.9920 NonOverlappingTemplate 100 115 102 97 100 98 95 90 103 100 0.926487 0.9900 NonOverlappingTemplate 95 97 89 105 91 116 116 106 92 93 0.417219 0.9910 NonOverlappingTemplate 107 94 88 84 104 105 113 97 107 101 0.581082 0.9900 NonOverlappingTemplate 93 98 98 97 96 113 89 113 110 93 0.647530 0.9920 NonOverlappingTemplate 103 89 99 98 98 113 103 116 83 98 0.469232 0.9910 NonOverlappingTemplate 109 91 100 95 97 101 95 107 101 104 0.968863 0.9920 NonOverlappingTemplate 89 115 97 93 106 88 111 107 101 93 0.530120 0.9930 NonOverlappingTemplate 102 100 100 89 105 92 97 96 113 106 0.880145 0.9870 NonOverlappingTemplate 104 89 116 105 107 82 82 94 109 112 0.131122 0.9900 NonOverlappingTemplate 104 93 108 113 93 94 95 107 111 82 0.435430 0.9880 NonOverlappingTemplate 112 103 91 98 96 95 117 87 106 95 0.536163 0.9900 NonOverlappingTemplate 109 112 120 94 80 80 107 102 93 103 0.072964 0.9900 NonOverlappingTemplate 98 100 93 116 107 95 92 101 96 102 0.861264 0.9920 NonOverlappingTemplate 109 90 90 109 107 97 98 111 94 95 0.733899 0.9850 NonOverlappingTemplate 100 81 113 95 101 103 104 105 100 98 0.729870 0.9840 NonOverlappingTemplate 88 103 92 118 110 93 107 99 79 111 0.161703 0.9910 NonOverlappingTemplate 77 103 106 101 96 89 98 97 120 113 0.165340 0.9910 NonOverlappingTemplate 89 103 90 105 90 116 110 94 114 89 0.301194 0.9930 NonOverlappingTemplate 99 83 90 88 102 96 106 110 123 103 0.197981 0.9880 NonOverlappingTemplate 98 105 102 101 98 95 106 98 109 88 0.952152 0.9930 NonOverlappingTemplate 115 90 96 106 86 98 101 108 104 96 0.664168 0.9850 NonOverlappingTemplate 90 105 101 88 85 119 105 120 92 95 0.133404 0.9940 NonOverlappingTemplate 98 99 94 90 95 105 103 110 117 89 0.626709 0.9890 NonOverlappingTemplate 117 101 86 102 108 96 84 92 103 111 0.334538 0.9920 NonOverlappingTemplate 85 96 118 84 97 103 93 118 119 87 0.042531 0.9970 NonOverlappingTemplate 105 91 101 105 107 99 110 95 86 101 0.830808 0.9950 NonOverlappingTemplate 110 103 84 112 89 97 94 104 107 100 0.595549 0.9910 NonOverlappingTemplate 93 94 101 101 111 108 99 101 98 94 0.958485 0.9870 NonOverlappingTemplate 95 99 99 101 90 112 101 90 108 105 0.866097 0.9930 NonOverlappingTemplate 101 103 106 111 112 85 97 102 99 84 0.528111 0.9850 NonOverlappingTemplate 86 83 120 104 94 95 108 114 101 95 0.187581 0.9910 NonOverlappingTemplate 104 102 119 94 112 77 102 87 96 107 0.150340 0.9910 NonOverlappingTemplate 103 99 93 102 116 95 103 99 103 87 0.805569 0.9890 NonOverlappingTemplate 103 103 98 108 100 97 106 107 83 95 0.839507 0.9790 * NonOverlappingTemplate 100 93 101 81 107 95 90 108 113 112 0.382115 0.9920 NonOverlappingTemplate 110 94 119 91 88 94 119 95 101 89 0.178604 0.9860 NonOverlappingTemplate 113 96 78 108 89 106 97 111 105 97 0.308561 0.9900 NonOverlappingTemplate 89 107 92 102 105 93 95 97 109 111 0.790621 0.9900 NonOverlappingTemplate 107 86 103 93 103 98 93 100 101 116 0.717714 0.9900 NonOverlappingTemplate 94 121 96 97 97 112 98 104 97 84 0.401199 0.9940 NonOverlappingTemplate 97 98 93 106 110 105 105 87 100 99 0.899171 0.9910 NonOverlappingTemplate 95 110 104 96 105 98 90 110 105 87 0.759756 0.9920 NonOverlappingTemplate 81 108 100 107 100 87 122 85 99 111 0.098330 0.9920 NonOverlappingTemplate 102 93 108 87 103 92 103 114 98 100 0.771469 0.9880 NonOverlappingTemplate 105 91 109 92 92 119 102 98 85 107 0.385543 0.9880 NonOverlappingTemplate 84 76 89 116 115 123 103 97 104 93 0.015276 0.9900 NonOverlappingTemplate 109 105 85 108 103 86 105 102 100 97 0.701366 0.9890 NonOverlappingTemplate 99 109 94 105 93 100 119 86 100 95 0.560545 0.9940 NonOverlappingTemplate 98 98 88 105 91 109 92 109 94 116 0.558502 0.9870 NonOverlappingTemplate 91 81 111 93 91 89 123 116 86 119 0.010383 0.9940 NonOverlappingTemplate 108 107 93 106 108 102 83 125 86 82 0.048716 0.9900 NonOverlappingTemplate 107 96 106 105 91 96 104 91 101 103 0.951205 0.9880 NonOverlappingTemplate 87 98 84 76 93 118 115 115 100 114 0.016488 0.9910 NonOverlappingTemplate 112 98 101 91 104 103 94 99 105 93 0.932333 0.9920 NonOverlappingTemplate 96 95 93 101 93 113 106 106 89 108 0.773405 0.9880 NonOverlappingTemplate 110 85 92 116 86 89 102 98 113 109 0.202268 0.9860 NonOverlappingTemplate 73 111 133 109 108 93 96 97 93 87 0.004697 0.9910 NonOverlappingTemplate 94 117 106 107 87 95 104 102 97 91 0.622546 0.9900 NonOverlappingTemplate 105 96 100 108 99 100 91 104 104 93 0.975644 0.9820 NonOverlappingTemplate 113 98 98 90 99 101 96 96 105 104 0.940080 0.9860 NonOverlappingTemplate 111 98 103 94 86 115 97 100 96 100 0.723804 0.9900 NonOverlappingTemplate 87 109 91 106 111 90 116 106 89 95 0.329850 0.9910 NonOverlappingTemplate 84 89 116 83 99 102 112 108 114 93 0.129620 0.9870 NonOverlappingTemplate 105 94 98 105 95 105 86 121 89 102 0.435430 0.9840 NonOverlappingTemplate 96 113 103 97 97 97 103 105 91 98 0.946308 0.9950 NonOverlappingTemplate 90 94 97 106 98 110 101 107 98 99 0.946308 0.9930 NonOverlappingTemplate 99 123 97 96 101 104 82 101 103 94 0.399442 0.9920 NonOverlappingTemplate 95 112 106 103 89 86 111 94 113 91 0.402962 0.9970 NonOverlappingTemplate 98 97 130 95 103 101 113 90 86 87 0.070737 0.9920 NonOverlappingTemplate 98 93 93 108 97 94 100 101 111 105 0.936823 0.9870 NonOverlappingTemplate 96 89 119 87 108 99 99 92 101 110 0.439122 0.9910 NonOverlappingTemplate 112 101 101 105 104 95 78 107 89 108 0.410055 0.9910 NonOverlappingTemplate 94 114 99 98 96 95 99 100 110 95 0.908760 0.9970 NonOverlappingTemplate 104 105 91 81 96 102 109 96 110 106 0.599693 0.9880 NonOverlappingTemplate 104 111 97 103 103 86 89 95 112 100 0.689019 0.9860 NonOverlappingTemplate 104 102 97 108 90 117 87 88 101 106 0.502247 0.9890 NonOverlappingTemplate 86 101 108 107 100 84 102 100 99 113 0.595549 0.9910 NonOverlappingTemplate 92 92 113 104 119 96 104 80 98 102 0.266235 0.9910 NonOverlappingTemplate 93 104 103 95 102 103 92 100 107 101 0.986658 0.9890 NonOverlappingTemplate 118 97 88 103 88 101 82 117 98 108 0.157251 0.9880 NonOverlappingTemplate 92 114 97 90 102 95 115 106 91 98 0.591409 0.9900 NonOverlappingTemplate 109 99 83 91 99 114 97 118 98 92 0.311542 0.9910 NonOverlappingTemplate 106 124 83 99 100 92 88 106 92 110 0.158133 0.9900 NonOverlappingTemplate 119 94 92 80 115 109 90 104 101 96 0.162606 0.9780 * NonOverlappingTemplate 105 99 113 98 101 92 109 100 97 86 0.788728 0.9940 NonOverlappingTemplate 103 109 84 117 94 87 96 102 100 108 0.415422 0.9940 NonOverlappingTemplate 97 100 94 116 107 95 92 101 96 102 0.867692 0.9920 NonOverlappingTemplate 117 111 102 93 89 109 85 110 96 88 0.242986 0.9930 OverlappingTemplate 125 95 81 102 109 89 106 94 101 98 0.165340 0.9800 * Universal 102 103 114 105 94 93 83 112 91 103 0.492436 0.9920 ApproximateEntropy 51 59 55 64 67 69 74 58 60 70 0.552120 0.9872 RandomExcursions 61 63 67 52 58 65 71 64 63 63 0.920704 0.9888 RandomExcursions 66 65 54 60 56 73 76 56 58 63 0.529277 0.9888 RandomExcursions 64 69 64 62 55 55 56 77 58 67 0.598556 0.9936 RandomExcursions 65 65 67 70 53 56 60 68 50 73 0.481520 0.9920 RandomExcursions 50 62 69 61 61 61 62 65 64 72 0.835712 0.9920 RandomExcursions 63 62 63 63 56 68 54 66 68 64 0.958260 0.9936 RandomExcursions 53 60 61 62 75 70 56 74 50 66 0.301996 0.9936 RandomExcursions 62 65 45 73 53 70 69 54 73 63 0.167782 0.9952 RandomExcursionsVariant 58 70 46 68 55 68 57 71 65 69 0.349181 0.9920 RandomExcursionsVariant 55 67 58 64 59 60 47 77 68 72 0.263744 0.9952 RandomExcursionsVariant 63 57 69 69 61 63 54 50 65 76 0.466030 0.9952 RandomExcursionsVariant 60 76 71 57 59 54 57 67 62 64 0.638799 0.9936 RandomExcursionsVariant 63 81 64 60 60 57 56 53 66 67 0.438764 0.9904 RandomExcursionsVariant 75 69 70 47 63 62 56 50 65 70 0.198289 0.9904 RandomExcursionsVariant 68 62 59 69 73 59 55 68 66 48 0.494076 0.9841 RandomExcursionsVariant 62 63 69 58 60 65 72 49 65 64 0.757536 0.9841 RandomExcursionsVariant 73 54 57 62 66 75 51 63 69 57 0.389660 0.9872 RandomExcursionsVariant 74 56 58 51 64 60 65 85 55 59 0.095001 0.9872 RandomExcursionsVariant 68 60 53 75 66 65 56 59 63 62 0.757536 0.9936 RandomExcursionsVariant 70 74 55 74 71 54 49 63 55 62 0.194881 0.9888 RandomExcursionsVariant 65 86 56 60 63 62 57 55 56 67 0.198289 0.9904 RandomExcursionsVariant 69 80 64 44 67 52 67 60 74 50 0.030444 0.9920 RandomExcursionsVariant 68 80 53 60 55 64 69 69 60 49 0.191520 0.9952 RandomExcursionsVariant 67 66 65 63 62 53 73 59 58 61 0.875539 0.9936 RandomExcursionsVariant 65 66 45 76 63 69 64 58 61 60 0.398084 0.9936 RandomExcursionsVariant 100 109 105 105 108 102 86 93 92 100 0.827279 0.9850 Serial 90 112 107 105 102 100 105 96 95 88 0.805569 0.9940 Serial 101 93 93 104 109 111 87 100 92 110 0.689019 0.9890 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 0.979669 for a sample size = 627 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -