------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 102 96 105 97 104 87 104 87 114 104 0.703417 0.9930 Frequency 86 92 104 122 99 102 96 112 80 107 0.131879 0.9890 BlockFrequency 98 94 101 100 111 100 99 92 112 93 0.897763 0.9950 CumulativeSums 104 90 92 103 107 99 98 101 111 95 0.917870 0.9960 CumulativeSums 123 96 82 111 84 105 103 101 94 101 0.154629 0.9900 Runs 89 96 111 115 92 104 89 99 111 94 0.492436 0.9880 LongestRun 113 106 92 102 91 99 109 97 87 104 0.709558 0.9890 Rank 114 101 98 106 96 94 95 102 108 86 0.761719 0.9830 FFT 96 116 95 102 87 91 110 113 90 100 0.419021 0.9930 NonOverlappingTemplate 102 84 102 106 100 111 100 110 79 106 0.352107 0.9880 NonOverlappingTemplate 106 105 94 107 96 104 92 94 94 108 0.925287 0.9910 NonOverlappingTemplate 94 100 91 96 98 108 117 85 96 115 0.387264 0.9950 NonOverlappingTemplate 100 97 114 103 109 95 92 77 102 111 0.320607 0.9880 NonOverlappingTemplate 90 112 99 86 106 107 100 106 100 94 0.741918 0.9840 NonOverlappingTemplate 94 102 104 79 111 97 94 106 100 113 0.467322 0.9940 NonOverlappingTemplate 82 95 99 95 111 104 101 92 110 111 0.536163 0.9940 NonOverlappingTemplate 99 97 97 93 90 109 96 119 101 99 0.711601 0.9950 NonOverlappingTemplate 83 99 102 103 107 95 88 124 100 99 0.277082 0.9920 NonOverlappingTemplate 104 97 107 99 89 96 115 122 95 76 0.085068 0.9930 NonOverlappingTemplate 116 85 89 101 111 87 85 114 107 105 0.126658 0.9900 NonOverlappingTemplate 119 105 97 105 102 111 93 90 87 91 0.397688 0.9850 NonOverlappingTemplate 100 103 99 113 108 99 93 108 93 84 0.676615 0.9880 NonOverlappingTemplate 77 108 104 109 95 108 97 98 102 102 0.534146 0.9920 NonOverlappingTemplate 90 89 100 112 102 92 98 128 96 93 0.169044 0.9930 NonOverlappingTemplate 104 102 102 108 92 101 105 102 77 107 0.574903 0.9870 NonOverlappingTemplate 118 94 105 105 87 102 89 103 100 97 0.614226 0.9840 NonOverlappingTemplate 95 92 96 103 104 92 118 106 87 107 0.562591 0.9870 NonOverlappingTemplate 113 102 88 108 77 88 109 110 102 103 0.187581 0.9920 NonOverlappingTemplate 103 115 92 104 96 91 109 107 90 93 0.647530 0.9970 NonOverlappingTemplate 107 106 83 92 107 101 112 99 82 111 0.291091 0.9910 NonOverlappingTemplate 104 91 98 89 107 110 105 87 112 97 0.618385 0.9880 NonOverlappingTemplate 104 98 128 105 94 92 94 85 99 101 0.217857 0.9850 NonOverlappingTemplate 108 104 118 98 88 104 102 89 100 89 0.520102 0.9900 NonOverlappingTemplate 81 107 101 121 112 110 94 88 91 95 0.128874 0.9950 NonOverlappingTemplate 105 106 89 87 102 108 90 106 107 100 0.735908 0.9850 NonOverlappingTemplate 89 105 100 82 91 96 113 105 119 100 0.260930 0.9940 NonOverlappingTemplate 79 96 103 103 108 99 114 100 95 103 0.564639 0.9900 NonOverlappingTemplate 103 90 107 95 94 92 94 103 109 113 0.761719 0.9890 NonOverlappingTemplate 98 80 109 106 109 83 108 105 101 101 0.365253 0.9880 NonOverlappingTemplate 98 112 83 102 98 110 97 96 104 100 0.753844 0.9920 NonOverlappingTemplate 89 100 101 91 100 106 91 101 120 101 0.614226 0.9850 NonOverlappingTemplate 116 102 128 88 101 96 96 94 95 84 0.081013 0.9910 NonOverlappingTemplate 125 91 87 98 96 88 108 94 91 122 0.048093 0.9860 NonOverlappingTemplate 102 95 101 101 81 115 98 116 98 93 0.410055 0.9940 NonOverlappingTemplate 103 90 93 85 114 104 104 90 107 110 0.474986 0.9910 NonOverlappingTemplate 114 105 85 97 91 101 99 101 94 113 0.591409 0.9880 NonOverlappingTemplate 89 110 96 97 93 99 112 104 82 118 0.272977 0.9910 NonOverlappingTemplate 91 100 117 100 95 103 98 92 98 106 0.823725 0.9900 NonOverlappingTemplate 90 89 105 113 96 94 94 118 103 98 0.494392 0.9980 NonOverlappingTemplate 108 94 91 96 93 111 110 107 85 105 0.568739 0.9930 NonOverlappingTemplate 91 106 94 102 113 93 94 102 103 102 0.892036 0.9910 NonOverlappingTemplate 100 110 93 94 114 81 97 107 92 112 0.344048 0.9930 NonOverlappingTemplate 103 96 99 103 108 99 116 92 85 99 0.693142 0.9840 NonOverlappingTemplate 110 95 101 89 112 90 104 95 93 111 0.635037 0.9900 NonOverlappingTemplate 106 105 102 99 91 103 93 89 100 112 0.859637 0.9910 NonOverlappingTemplate 106 88 87 96 99 114 106 97 101 106 0.695200 0.9940 NonOverlappingTemplate 92 98 92 85 107 91 88 130 108 109 0.052610 0.9880 NonOverlappingTemplate 90 113 91 98 124 107 98 92 81 106 0.107512 0.9880 NonOverlappingTemplate 117 88 97 104 111 98 111 88 88 98 0.353733 0.9900 NonOverlappingTemplate 87 93 106 105 113 94 99 90 104 109 0.655854 0.9870 NonOverlappingTemplate 87 96 112 90 106 93 98 110 103 105 0.686955 0.9910 NonOverlappingTemplate 96 103 94 120 86 109 107 88 101 96 0.394195 0.9880 NonOverlappingTemplate 118 95 87 92 89 107 98 112 102 100 0.433590 0.9870 NonOverlappingTemplate 86 84 94 116 103 112 110 97 86 112 0.142872 0.9950 NonOverlappingTemplate 107 90 102 102 102 94 110 90 98 105 0.893482 0.9930 NonOverlappingTemplate 102 97 97 113 105 101 110 92 88 95 0.788728 0.9900 NonOverlappingTemplate 112 98 97 103 101 96 100 104 88 101 0.944274 0.9880 NonOverlappingTemplate 95 75 115 100 94 103 98 124 98 98 0.088762 0.9940 NonOverlappingTemplate 105 111 87 97 90 116 113 104 80 97 0.174728 0.9880 NonOverlappingTemplate 103 110 92 105 84 111 93 101 118 83 0.192724 0.9880 NonOverlappingTemplate 87 99 103 103 99 102 116 101 96 94 0.832561 0.9860 NonOverlappingTemplate 109 107 117 93 96 88 109 101 92 88 0.420827 0.9900 NonOverlappingTemplate 107 88 91 96 107 96 101 90 117 107 0.540204 0.9870 NonOverlappingTemplate 108 87 92 108 110 104 95 89 112 95 0.542228 0.9870 NonOverlappingTemplate 88 106 90 102 98 98 112 95 105 106 0.814724 0.9900 NonOverlappingTemplate 106 100 86 94 103 100 99 104 102 106 0.949278 0.9910 NonOverlappingTemplate 120 107 99 107 91 98 97 100 101 80 0.355364 0.9900 NonOverlappingTemplate 116 109 80 112 91 94 91 91 99 117 0.105618 0.9930 NonOverlappingTemplate 97 108 100 112 106 82 98 106 96 95 0.680755 0.9880 NonOverlappingTemplate 97 102 94 102 110 94 89 114 104 94 0.781106 0.9870 NonOverlappingTemplate 79 77 103 89 104 115 116 90 110 117 0.013287 0.9960 NonOverlappingTemplate 95 79 98 93 104 101 128 110 96 96 0.104993 0.9920 NonOverlappingTemplate 96 116 94 103 87 91 109 113 91 100 0.439122 0.9930 NonOverlappingTemplate 94 97 121 97 93 92 97 108 101 100 0.655854 0.9920 NonOverlappingTemplate 101 97 76 102 120 93 112 102 101 96 0.211064 0.9910 NonOverlappingTemplate 96 92 97 94 106 111 107 91 103 103 0.890582 0.9890 NonOverlappingTemplate 103 98 100 83 121 105 100 94 92 104 0.452173 0.9920 NonOverlappingTemplate 110 104 95 98 91 99 101 114 98 90 0.809249 0.9880 NonOverlappingTemplate 100 93 95 108 100 104 104 91 107 98 0.962688 0.9880 NonOverlappingTemplate 106 100 95 90 114 88 104 99 104 100 0.803720 0.9900 NonOverlappingTemplate 94 100 104 115 108 93 89 95 93 109 0.672470 0.9860 NonOverlappingTemplate 78 98 96 115 97 98 110 124 89 95 0.074791 0.9950 NonOverlappingTemplate 94 96 111 117 93 97 111 96 105 80 0.288249 0.9880 NonOverlappingTemplate 96 105 104 88 82 106 97 105 110 107 0.591409 0.9870 NonOverlappingTemplate 114 105 106 101 98 98 79 110 102 87 0.366918 0.9920 NonOverlappingTemplate 95 110 88 89 97 100 98 112 109 102 0.707513 0.9920 NonOverlappingTemplate 116 103 92 101 117 96 97 88 90 100 0.448424 0.9900 NonOverlappingTemplate 88 113 90 97 97 94 113 90 101 117 0.329850 0.9940 NonOverlappingTemplate 98 99 132 97 93 96 108 86 106 85 0.062036 0.9940 NonOverlappingTemplate 99 100 95 100 107 97 84 118 112 88 0.390721 0.9920 NonOverlappingTemplate 104 97 121 84 107 104 93 99 86 105 0.305599 0.9880 NonOverlappingTemplate 97 87 94 98 94 100 108 104 102 116 0.745908 0.9900 NonOverlappingTemplate 85 111 98 96 108 105 103 95 111 88 0.581082 0.9900 NonOverlappingTemplate 97 113 90 102 101 102 99 84 102 110 0.691081 0.9870 NonOverlappingTemplate 100 100 97 111 103 106 83 86 100 114 0.478839 0.9900 NonOverlappingTemplate 99 107 113 96 80 109 101 104 100 91 0.520102 0.9850 NonOverlappingTemplate 70 114 108 103 119 110 96 98 103 79 0.012650 0.9940 NonOverlappingTemplate 103 95 113 84 105 93 114 85 110 98 0.305599 0.9880 NonOverlappingTemplate 91 108 100 93 103 99 108 101 94 103 0.958485 0.9940 NonOverlappingTemplate 108 98 101 113 91 100 94 109 72 114 0.116746 0.9860 NonOverlappingTemplate 80 115 107 102 87 105 88 91 128 97 0.026057 0.9910 NonOverlappingTemplate 96 105 90 104 77 104 115 107 103 99 0.361938 0.9890 NonOverlappingTemplate 101 94 108 87 102 109 110 95 88 106 0.678686 0.9900 NonOverlappingTemplate 90 108 99 100 116 100 93 108 96 90 0.689019 0.9860 NonOverlappingTemplate 84 107 94 96 107 103 83 98 113 115 0.274341 0.9920 NonOverlappingTemplate 126 94 97 101 100 76 99 101 110 96 0.116746 0.9810 * NonOverlappingTemplate 101 100 94 120 103 94 92 103 100 93 0.735908 0.9920 NonOverlappingTemplate 122 110 83 110 110 91 89 94 91 100 0.125200 0.9880 NonOverlappingTemplate 93 88 101 104 100 101 109 101 113 90 0.777265 0.9880 NonOverlappingTemplate 114 93 104 113 105 97 85 87 108 94 0.385543 0.9860 NonOverlappingTemplate 99 100 100 106 106 94 107 102 92 94 0.977480 0.9880 NonOverlappingTemplate 101 103 93 89 108 90 111 100 98 107 0.818343 0.9900 NonOverlappingTemplate 99 99 94 107 113 101 84 111 84 108 0.388990 0.9900 NonOverlappingTemplate 106 102 117 98 87 98 94 110 100 88 0.548314 0.9930 NonOverlappingTemplate 89 98 99 89 121 102 93 101 101 107 0.542228 0.9910 NonOverlappingTemplate 99 104 83 109 91 97 106 98 115 98 0.589341 0.9960 NonOverlappingTemplate 110 98 105 95 96 99 98 121 96 82 0.387264 0.9830 NonOverlappingTemplate 91 92 106 102 90 100 97 88 112 122 0.299736 0.9900 NonOverlappingTemplate 102 131 96 88 111 95 108 79 86 104 0.018668 0.9920 NonOverlappingTemplate 94 84 145 94 100 94 107 106 78 98 0.000509 0.9890 NonOverlappingTemplate 111 115 106 91 107 98 91 106 79 96 0.282626 0.9890 NonOverlappingTemplate 104 88 93 108 103 114 97 93 109 91 0.639202 0.9890 NonOverlappingTemplate 105 106 82 94 106 95 126 104 84 98 0.110734 0.9930 NonOverlappingTemplate 89 88 100 111 106 109 97 95 112 93 0.605916 0.9910 NonOverlappingTemplate 100 91 113 104 92 99 94 89 107 111 0.680755 0.9900 NonOverlappingTemplate 113 104 93 109 100 100 113 90 96 82 0.415422 0.9910 NonOverlappingTemplate 89 99 101 115 107 103 97 96 84 109 0.566688 0.9930 NonOverlappingTemplate 86 100 101 90 100 98 114 119 95 97 0.444691 0.9910 NonOverlappingTemplate 100 112 96 97 97 95 95 100 99 109 0.960198 0.9920 NonOverlappingTemplate 93 107 108 102 106 88 98 90 91 117 0.514124 0.9900 NonOverlappingTemplate 94 92 91 109 100 102 117 99 100 96 0.767582 0.9910 NonOverlappingTemplate 92 116 91 109 97 106 106 106 85 92 0.448424 0.9880 NonOverlappingTemplate 107 93 96 92 102 104 97 116 102 91 0.790621 0.9870 NonOverlappingTemplate 104 102 99 83 107 91 97 122 99 96 0.392456 0.9940 NonOverlappingTemplate 114 90 111 94 92 95 98 94 101 111 0.632955 0.9920 NonOverlappingTemplate 96 90 95 104 100 104 82 102 105 122 0.342451 0.9920 NonOverlappingTemplate 97 94 107 121 84 100 106 104 87 100 0.340858 0.9910 NonOverlappingTemplate 110 85 102 98 108 108 109 95 94 91 0.653773 0.9850 NonOverlappingTemplate 93 101 108 85 118 82 128 87 98 100 0.021701 0.9930 NonOverlappingTemplate 113 97 105 99 96 86 103 98 96 107 0.839507 0.9900 NonOverlappingTemplate 105 83 98 99 98 102 107 108 88 112 0.607993 0.9900 NonOverlappingTemplate 90 106 127 84 94 102 91 95 97 114 0.098920 0.9900 NonOverlappingTemplate 97 116 84 108 96 96 104 101 103 95 0.670396 0.9900 NonOverlappingTemplate 94 84 113 101 109 105 88 103 88 115 0.282626 0.9920 NonOverlappingTemplate 86 108 97 101 107 104 88 100 99 110 0.759756 0.9950 NonOverlappingTemplate 95 79 97 93 105 101 128 111 95 96 0.092041 0.9920 NonOverlappingTemplate 106 105 112 113 107 87 95 94 89 92 0.496351 0.9890 OverlappingTemplate 95 104 97 94 102 110 95 89 103 111 0.862883 0.9890 Universal 100 114 105 99 104 76 113 88 106 95 0.220159 0.9920 ApproximateEntropy 77 61 65 75 74 56 49 65 49 53 0.060443 0.9936 RandomExcursions 52 61 83 80 57 63 57 63 48 60 0.034801 0.9936 RandomExcursions 60 50 70 65 62 63 68 51 65 70 0.606921 0.9904 RandomExcursions 62 56 50 54 77 76 80 53 51 65 0.022339 0.9856 RandomExcursions 72 62 72 51 73 58 61 62 61 52 0.434302 0.9808 RandomExcursions 59 61 69 59 61 73 68 58 48 68 0.570262 0.9952 RandomExcursions 77 62 52 57 54 66 66 63 61 66 0.586874 0.9920 RandomExcursions 62 55 60 58 67 63 74 59 61 65 0.900479 0.9904 RandomExcursions 61 84 72 67 48 46 68 49 68 61 0.012508 0.9920 RandomExcursionsVariant 64 75 56 74 69 52 56 42 77 59 0.026028 0.9904 RandomExcursionsVariant 59 77 61 57 69 63 49 69 70 50 0.220682 0.9920 RandomExcursionsVariant 66 66 57 80 63 60 55 65 53 59 0.473746 0.9936 RandomExcursionsVariant 72 52 82 61 59 51 73 51 57 66 0.059831 0.9888 RandomExcursionsVariant 69 72 51 62 68 59 56 68 61 58 0.687355 0.9888 RandomExcursionsVariant 62 65 72 54 71 61 65 51 51 72 0.369073 0.9904 RandomExcursionsVariant 61 52 77 78 59 55 56 68 61 57 0.218820 0.9936 RandomExcursionsVariant 65 61 69 73 74 48 68 55 66 45 0.100186 0.9888 RandomExcursionsVariant 70 59 59 68 43 66 65 68 62 64 0.458374 0.9872 RandomExcursionsVariant 59 61 74 59 70 61 56 68 52 64 0.687355 0.9904 RandomExcursionsVariant 66 63 69 65 59 62 60 64 62 54 0.980447 0.9936 RandomExcursionsVariant 57 70 64 70 54 72 76 57 52 52 0.215134 0.9872 RandomExcursionsVariant 59 70 64 52 71 71 57 59 60 61 0.730195 0.9872 RandomExcursionsVariant 55 63 68 62 56 71 58 70 70 51 0.580218 0.9872 RandomExcursionsVariant 65 59 57 52 59 64 69 68 67 64 0.886546 0.9888 RandomExcursionsVariant 66 58 43 58 52 78 74 53 84 58 0.004251 0.9856 RandomExcursionsVariant 56 71 50 41 66 60 70 68 65 77 0.048213 0.9888 RandomExcursionsVariant 98 103 78 97 98 112 93 103 109 109 0.461612 0.9950 Serial 96 105 104 101 86 96 111 107 101 93 0.842937 0.9880 Serial 98 96 109 87 94 91 113 92 112 108 0.506194 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 0.979644 for a sample size = 624 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -