------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 88 110 112 111 101 88 114 93 97 86 0.272977 0.9920 Frequency 80 115 96 94 92 99 94 101 117 112 0.206629 0.9960 BlockFrequency 95 107 102 84 117 95 93 104 107 96 0.556460 0.9890 CumulativeSums 93 106 98 115 99 105 102 91 94 97 0.859637 0.9930 CumulativeSums 110 98 111 85 102 103 93 88 103 107 0.622546 0.9940 Runs 100 116 99 92 105 102 94 101 92 99 0.873987 0.9880 LongestRun 106 114 96 104 98 84 96 105 100 97 0.765632 0.9910 Rank 105 122 94 93 102 90 108 85 124 77 0.013010 0.9920 FFT 109 89 104 85 110 111 81 96 110 105 0.233162 0.9890 NonOverlappingTemplate 112 96 94 97 92 98 114 90 103 104 0.745908 0.9900 NonOverlappingTemplate 90 103 97 94 125 93 100 99 89 110 0.311542 0.9930 NonOverlappingTemplate 92 101 88 101 98 105 96 104 118 97 0.735908 0.9940 NonOverlappingTemplate 81 93 109 100 95 105 112 96 94 115 0.382115 0.9940 NonOverlappingTemplate 95 93 114 103 107 88 100 100 104 96 0.830808 0.9960 NonOverlappingTemplate 95 85 97 94 107 102 108 113 92 107 0.643366 0.9910 NonOverlappingTemplate 92 110 107 97 98 106 91 95 99 105 0.915317 0.9930 NonOverlappingTemplate 106 110 93 102 113 88 106 83 103 96 0.482707 0.9930 NonOverlappingTemplate 90 96 104 99 98 95 99 95 120 104 0.735908 0.9900 NonOverlappingTemplate 91 98 100 97 91 108 87 118 101 109 0.520102 0.9940 NonOverlappingTemplate 102 98 96 86 114 94 110 85 115 100 0.348869 0.9840 NonOverlappingTemplate 114 98 100 87 95 109 95 106 96 100 0.786830 0.9880 NonOverlappingTemplate 85 85 104 101 111 96 103 114 103 98 0.512137 0.9890 NonOverlappingTemplate 105 88 103 87 116 111 102 96 85 107 0.336111 0.9850 NonOverlappingTemplate 106 109 95 112 110 112 83 93 91 89 0.296834 0.9880 NonOverlappingTemplate 106 106 100 105 97 98 82 86 114 106 0.473064 0.9870 NonOverlappingTemplate 91 99 105 99 100 119 88 102 104 93 0.655854 0.9920 NonOverlappingTemplate 94 100 107 111 104 95 100 105 85 99 0.836048 0.9930 NonOverlappingTemplate 111 103 102 108 90 98 99 99 75 115 0.240501 0.9860 NonOverlappingTemplate 97 93 106 106 87 110 101 102 88 110 0.691081 0.9830 NonOverlappingTemplate 88 119 101 101 90 109 100 87 95 110 0.365253 0.9900 NonOverlappingTemplate 121 95 90 105 86 114 104 100 92 93 0.267573 0.9890 NonOverlappingTemplate 100 88 88 102 104 98 95 100 127 98 0.296834 0.9880 NonOverlappingTemplate 93 103 101 80 99 103 105 98 104 114 0.626709 0.9900 NonOverlappingTemplate 86 116 90 105 95 99 99 94 111 105 0.548314 0.9910 NonOverlappingTemplate 107 104 110 84 96 91 94 109 105 100 0.678686 0.9900 NonOverlappingTemplate 96 99 111 98 96 97 102 108 91 102 0.955835 0.9890 NonOverlappingTemplate 98 110 106 92 98 89 96 96 112 103 0.821937 0.9940 NonOverlappingTemplate 87 90 101 104 107 118 83 95 111 104 0.268917 0.9910 NonOverlappingTemplate 110 102 115 92 97 99 101 86 103 95 0.705466 0.9930 NonOverlappingTemplate 92 98 95 101 83 113 96 116 107 99 0.461612 0.9910 NonOverlappingTemplate 92 93 110 130 100 106 97 85 88 99 0.083526 0.9910 NonOverlappingTemplate 95 97 115 107 98 115 83 83 111 96 0.185555 0.9950 NonOverlappingTemplate 118 81 110 91 97 101 106 93 104 99 0.368587 0.9900 NonOverlappingTemplate 99 125 112 103 88 99 94 91 100 89 0.235589 0.9880 NonOverlappingTemplate 94 84 123 90 110 102 89 88 106 114 0.085068 0.9880 NonOverlappingTemplate 93 95 96 92 103 115 120 81 103 102 0.235589 0.9900 NonOverlappingTemplate 90 98 106 100 102 100 118 101 91 94 0.753844 0.9900 NonOverlappingTemplate 94 95 104 97 111 109 93 96 98 103 0.932333 0.9900 NonOverlappingTemplate 92 98 98 101 84 114 111 100 100 102 0.689019 0.9870 NonOverlappingTemplate 112 106 109 109 90 98 93 104 94 85 0.562591 0.9860 NonOverlappingTemplate 113 93 108 111 98 89 96 108 92 92 0.599693 0.9870 NonOverlappingTemplate 83 94 105 106 110 106 106 84 103 103 0.502247 0.9920 NonOverlappingTemplate 89 111 109 109 85 82 94 102 108 111 0.225998 0.9900 NonOverlappingTemplate 104 97 104 96 110 92 110 97 96 94 0.922855 0.9890 NonOverlappingTemplate 101 106 92 100 86 137 101 97 95 85 0.023071 0.9890 NonOverlappingTemplate 93 110 93 92 94 97 93 110 115 103 0.647530 0.9870 NonOverlappingTemplate 105 106 91 94 102 102 90 105 91 114 0.751866 0.9890 NonOverlappingTemplate 87 107 100 116 101 90 108 96 106 89 0.522100 0.9890 NonOverlappingTemplate 100 116 96 121 78 87 111 101 98 92 0.076658 0.9940 NonOverlappingTemplate 86 101 87 96 87 105 101 118 115 104 0.248014 0.9910 NonOverlappingTemplate 101 89 86 107 121 95 100 99 93 109 0.380407 0.9890 NonOverlappingTemplate 104 97 97 106 103 94 107 104 92 96 0.978072 0.9930 NonOverlappingTemplate 90 110 95 92 95 110 112 94 92 110 0.576961 0.9950 NonOverlappingTemplate 95 98 110 92 105 95 102 90 104 109 0.880145 0.9890 NonOverlappingTemplate 101 106 103 91 114 90 110 83 102 100 0.518106 0.9880 NonOverlappingTemplate 102 79 106 120 111 90 105 91 111 85 0.077131 0.9930 NonOverlappingTemplate 106 94 104 106 108 97 88 98 104 95 0.920383 0.9880 NonOverlappingTemplate 94 99 97 88 112 100 96 97 103 114 0.775337 0.9920 NonOverlappingTemplate 106 103 100 110 110 107 77 95 92 100 0.426272 0.9890 NonOverlappingTemplate 97 90 93 122 103 101 91 100 104 99 0.585209 0.9890 NonOverlappingTemplate 107 109 114 80 106 106 86 102 86 104 0.207730 0.9870 NonOverlappingTemplate 88 99 101 106 85 114 104 89 101 113 0.428095 0.9910 NonOverlappingTemplate 97 91 89 112 111 111 91 81 124 93 0.054661 0.9860 NonOverlappingTemplate 92 89 93 109 104 103 94 102 108 106 0.851383 0.9930 NonOverlappingTemplate 95 109 88 89 83 112 99 117 97 111 0.200115 0.9950 NonOverlappingTemplate 92 120 104 98 86 91 98 106 93 112 0.355364 0.9900 NonOverlappingTemplate 97 86 92 103 112 101 92 98 111 108 0.662091 0.9910 NonOverlappingTemplate 94 108 103 98 103 102 97 86 88 121 0.422638 0.9940 NonOverlappingTemplate 116 105 96 112 90 93 96 95 90 107 0.554420 0.9910 NonOverlappingTemplate 96 89 113 97 129 102 93 81 97 103 0.069430 0.9940 NonOverlappingTemplate 96 105 92 112 99 109 93 86 106 102 0.723804 0.9880 NonOverlappingTemplate 96 99 103 88 91 103 108 102 100 110 0.892036 0.9850 NonOverlappingTemplate 109 90 103 87 107 114 79 96 109 106 0.225998 0.9890 NonOverlappingTemplate 86 95 109 116 88 112 93 92 103 106 0.347257 0.9900 NonOverlappingTemplate 108 89 98 117 91 81 111 115 87 103 0.107512 0.9890 NonOverlappingTemplate 85 91 113 105 96 91 121 96 106 96 0.271619 0.9940 NonOverlappingTemplate 104 100 103 114 98 100 97 87 98 99 0.906069 0.9920 NonOverlappingTemplate 100 103 108 96 98 105 99 95 92 104 0.987079 0.9920 NonOverlappingTemplate 91 97 101 101 105 103 99 101 92 110 0.967382 0.9930 NonOverlappingTemplate 97 100 106 95 104 100 94 99 101 104 0.997823 0.9920 NonOverlappingTemplate 102 108 97 93 102 102 89 90 128 89 0.181557 0.9860 NonOverlappingTemplate 102 99 111 103 103 94 102 92 93 101 0.965083 0.9950 NonOverlappingTemplate 101 98 105 107 123 88 102 94 92 90 0.387264 0.9880 NonOverlappingTemplate 98 108 96 109 98 100 96 94 108 93 0.949278 0.9910 NonOverlappingTemplate 94 96 93 94 114 104 106 109 86 104 0.660012 0.9910 NonOverlappingTemplate 86 92 126 108 93 109 92 97 107 90 0.140453 0.9910 NonOverlappingTemplate 102 109 103 95 91 113 103 85 101 98 0.731886 0.9950 NonOverlappingTemplate 103 92 109 103 89 105 112 106 100 81 0.484646 0.9910 NonOverlappingTemplate 91 113 102 104 98 95 89 98 107 103 0.849708 0.9920 NonOverlappingTemplate 104 100 102 103 103 92 91 101 88 116 0.755819 0.9950 NonOverlappingTemplate 115 103 105 98 89 98 99 104 86 103 0.729870 0.9890 NonOverlappingTemplate 92 99 119 94 102 87 92 123 94 98 0.177628 0.9930 NonOverlappingTemplate 94 103 97 96 93 98 100 96 103 120 0.790621 0.9930 NonOverlappingTemplate 90 75 104 97 122 117 93 100 108 94 0.053286 0.9870 NonOverlappingTemplate 87 93 98 103 98 116 96 104 105 100 0.790621 0.9890 NonOverlappingTemplate 105 104 94 98 111 103 91 96 108 90 0.858002 0.9880 NonOverlappingTemplate 99 102 114 96 105 107 79 94 95 109 0.461612 0.9890 NonOverlappingTemplate 99 100 117 102 90 96 97 99 94 106 0.841226 0.9880 NonOverlappingTemplate 98 83 86 105 111 113 105 88 102 109 0.305599 0.9900 NonOverlappingTemplate 111 114 112 100 88 81 104 94 92 104 0.277082 0.9830 NonOverlappingTemplate 110 101 101 94 93 89 113 95 103 101 0.823725 0.9880 NonOverlappingTemplate 100 92 98 101 105 92 93 110 111 98 0.889118 0.9910 NonOverlappingTemplate 98 98 113 92 110 99 101 92 107 90 0.783019 0.9910 NonOverlappingTemplate 102 94 93 115 116 98 84 96 94 108 0.395940 0.9910 NonOverlappingTemplate 88 97 95 107 105 93 85 117 131 82 0.012650 0.9890 NonOverlappingTemplate 109 119 103 99 91 103 92 95 90 99 0.603841 0.9920 NonOverlappingTemplate 97 105 101 99 122 95 91 101 94 95 0.649612 0.9920 NonOverlappingTemplate 108 92 112 103 74 114 94 101 106 96 0.190654 0.9910 NonOverlappingTemplate 104 87 119 77 96 121 90 105 96 105 0.049030 0.9870 NonOverlappingTemplate 106 90 105 91 106 109 83 106 99 105 0.626709 0.9940 NonOverlappingTemplate 109 91 95 87 109 95 91 110 104 109 0.595549 0.9940 NonOverlappingTemplate 97 108 84 104 98 105 94 111 100 99 0.805569 0.9840 NonOverlappingTemplate 115 99 96 99 85 116 94 108 99 89 0.395940 0.9870 NonOverlappingTemplate 100 98 89 90 106 107 115 90 110 95 0.574903 0.9930 NonOverlappingTemplate 93 93 110 90 99 106 104 98 112 95 0.812905 0.9900 NonOverlappingTemplate 102 116 97 103 108 92 106 102 90 84 0.532132 0.9920 NonOverlappingTemplate 81 95 91 116 89 98 112 99 99 120 0.124476 0.9930 NonOverlappingTemplate 101 103 100 91 109 90 95 102 102 107 0.939005 0.9890 NonOverlappingTemplate 105 99 98 91 106 101 100 115 96 89 0.825505 0.9960 NonOverlappingTemplate 88 113 95 91 106 111 82 119 100 95 0.169044 0.9900 NonOverlappingTemplate 112 107 98 98 112 91 92 101 85 104 0.603841 0.9910 NonOverlappingTemplate 103 99 105 118 99 90 83 112 97 94 0.402962 0.9920 NonOverlappingTemplate 105 103 98 86 99 99 109 91 114 96 0.729870 0.9930 NonOverlappingTemplate 92 106 86 110 119 90 97 114 107 79 0.077607 0.9880 NonOverlappingTemplate 100 100 105 109 98 84 103 100 96 105 0.900569 0.9940 NonOverlappingTemplate 102 112 103 108 81 92 105 102 101 94 0.624627 0.9870 NonOverlappingTemplate 102 114 85 97 92 94 111 103 101 101 0.672470 0.9880 NonOverlappingTemplate 94 96 103 97 107 120 102 87 94 100 0.607993 0.9930 NonOverlappingTemplate 98 101 109 100 104 102 91 94 114 87 0.751866 0.9820 NonOverlappingTemplate 106 104 91 123 118 90 101 86 91 90 0.101311 0.9920 NonOverlappingTemplate 109 103 89 92 106 83 92 111 109 106 0.435430 0.9840 NonOverlappingTemplate 96 105 93 107 108 89 96 112 109 85 0.544254 0.9900 NonOverlappingTemplate 95 118 105 95 89 92 101 94 105 106 0.655854 0.9900 NonOverlappingTemplate 112 106 99 97 105 103 113 93 97 75 0.292519 0.9880 NonOverlappingTemplate 90 110 97 97 110 104 120 85 79 108 0.101311 0.9940 NonOverlappingTemplate 92 113 96 105 93 114 79 93 106 109 0.258307 0.9910 NonOverlappingTemplate 84 105 85 112 95 99 97 103 108 112 0.435430 0.9970 NonOverlappingTemplate 111 112 100 108 88 87 115 90 91 98 0.310049 0.9850 NonOverlappingTemplate 99 88 94 96 115 98 94 100 108 108 0.749884 0.9900 NonOverlappingTemplate 93 94 107 121 98 84 103 102 104 94 0.437274 0.9920 NonOverlappingTemplate 93 92 89 120 94 98 109 97 109 99 0.488534 0.9890 NonOverlappingTemplate 107 113 109 105 91 93 84 81 106 111 0.197981 0.9910 NonOverlappingTemplate 119 109 99 84 106 89 102 83 98 111 0.174728 0.9890 NonOverlappingTemplate 98 119 97 103 117 99 84 95 89 99 0.292519 0.9900 NonOverlappingTemplate 98 84 119 88 97 102 104 101 104 103 0.514124 0.9910 NonOverlappingTemplate 97 99 102 88 90 105 107 102 100 110 0.886162 0.9850 NonOverlappingTemplate 104 100 88 97 102 100 104 107 98 100 0.982958 0.9890 OverlappingTemplate 114 89 102 104 98 90 106 101 103 93 0.801865 0.9800 * Universal 90 105 93 108 99 92 105 109 99 100 0.904708 0.9920 ApproximateEntropy 59 64 58 56 77 56 64 63 63 66 0.777948 0.9920 RandomExcursions 59 73 53 71 62 63 59 46 70 70 0.271313 0.9840 RandomExcursions 48 65 64 67 66 59 71 58 63 65 0.749563 0.9968 RandomExcursions 62 71 69 61 60 68 64 55 61 55 0.881711 0.9920 RandomExcursions 69 72 61 67 61 54 51 64 62 65 0.736685 0.9904 RandomExcursions 69 54 64 77 61 54 56 60 78 53 0.179331 0.9888 RandomExcursions 64 47 67 55 72 68 62 76 72 43 0.039106 0.9920 RandomExcursions 66 73 51 53 75 52 70 67 62 57 0.234060 0.9792 * RandomExcursions 58 66 62 61 51 71 65 64 68 60 0.864079 0.9888 RandomExcursionsVariant 59 67 70 49 53 63 74 67 61 63 0.495655 0.9904 RandomExcursionsVariant 59 68 61 61 63 54 55 72 63 70 0.811257 0.9840 RandomExcursionsVariant 60 67 52 61 63 75 58 53 72 65 0.517977 0.9856 RandomExcursionsVariant 67 52 54 64 71 69 70 57 57 65 0.616976 0.9888 RandomExcursionsVariant 60 53 68 55 74 64 68 70 59 55 0.566953 0.9888 RandomExcursionsVariant 60 56 62 64 64 54 68 59 80 59 0.543927 0.9888 RandomExcursionsVariant 65 54 60 74 65 50 69 68 53 68 0.410918 0.9920 RandomExcursionsVariant 70 62 58 79 53 58 71 50 53 72 0.120049 0.9840 RandomExcursionsVariant 73 67 58 57 74 61 61 61 59 55 0.707249 0.9888 RandomExcursionsVariant 80 64 78 60 57 64 55 56 58 54 0.180918 0.9872 RandomExcursionsVariant 70 72 78 56 68 59 52 56 53 62 0.237996 0.9904 RandomExcursionsVariant 63 83 73 53 68 61 49 56 62 58 0.104112 0.9904 RandomExcursionsVariant 62 73 64 66 68 71 55 50 59 58 0.566953 0.9872 RandomExcursionsVariant 56 73 62 58 77 62 63 58 63 54 0.560348 0.9904 RandomExcursionsVariant 61 68 66 53 64 77 57 67 54 59 0.550479 0.9904 RandomExcursionsVariant 66 58 68 61 61 61 64 70 56 61 0.970348 0.9904 RandomExcursionsVariant 71 53 63 71 58 64 61 60 68 57 0.805330 0.9904 RandomExcursionsVariant 91 114 111 92 106 96 88 104 104 94 0.610070 0.9910 Serial 108 107 87 110 100 96 104 95 98 95 0.861264 0.9910 Serial 116 117 101 107 97 83 104 86 91 98 0.219006 0.9920 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 0.979660 for a sample size = 626 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -