------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 109 115 86 106 104 102 92 103 101 82 0.387264 0.9900 Frequency 113 103 85 121 103 95 100 90 82 108 0.134944 0.9860 BlockFrequency 107 112 99 86 85 79 130 99 97 106 0.017789 0.9890 CumulativeSums 114 99 99 104 85 107 105 98 96 93 0.757790 0.9940 CumulativeSums 93 98 102 88 100 88 127 103 96 105 0.259616 0.9880 Runs 100 98 119 99 101 102 99 102 87 93 0.745908 0.9830 LongestRun 97 96 101 102 111 110 90 90 98 105 0.851383 0.9920 Rank 103 104 115 93 91 94 100 99 116 85 0.439122 0.9930 FFT 108 112 105 95 95 110 89 100 89 97 0.705466 0.9890 NonOverlappingTemplate 109 87 103 93 93 102 118 106 89 100 0.492436 0.9850 NonOverlappingTemplate 119 94 90 102 89 105 102 108 100 91 0.538182 0.9840 NonOverlappingTemplate 109 108 118 97 108 79 89 98 92 102 0.227180 0.9890 NonOverlappingTemplate 93 84 84 124 99 108 121 93 98 96 0.046870 0.9860 NonOverlappingTemplate 114 97 92 107 109 98 101 99 93 90 0.784927 0.9920 NonOverlappingTemplate 112 99 104 106 81 83 100 92 108 115 0.213309 0.9940 NonOverlappingTemplate 111 92 109 105 105 100 83 83 106 106 0.378705 0.9900 NonOverlappingTemplate 89 87 110 112 99 95 81 111 127 89 0.025882 0.9870 NonOverlappingTemplate 101 107 103 96 106 94 76 106 110 101 0.474986 0.9910 NonOverlappingTemplate 99 95 116 97 103 100 87 93 111 99 0.699313 0.9910 NonOverlappingTemplate 85 98 99 107 100 111 106 101 94 99 0.856359 0.9940 NonOverlappingTemplate 115 92 117 96 102 81 85 101 115 96 0.113372 0.9890 NonOverlappingTemplate 84 101 98 109 95 106 116 95 92 104 0.570792 0.9870 NonOverlappingTemplate 112 106 76 89 93 119 99 107 88 111 0.066465 0.9830 NonOverlappingTemplate 102 96 109 86 99 109 104 109 98 88 0.715679 0.9920 NonOverlappingTemplate 90 100 97 98 105 128 88 93 97 104 0.249284 0.9920 NonOverlappingTemplate 113 108 91 95 90 79 101 105 120 98 0.158133 0.9880 NonOverlappingTemplate 86 94 103 104 97 97 94 122 100 103 0.530120 0.9920 NonOverlappingTemplate 100 96 104 111 92 82 90 113 114 98 0.342451 0.9920 NonOverlappingTemplate 100 97 91 85 95 107 105 108 117 95 0.542228 0.9920 NonOverlappingTemplate 105 108 107 96 84 116 101 89 103 91 0.457825 0.9950 NonOverlappingTemplate 104 97 90 107 91 105 88 104 105 109 0.792508 0.9920 NonOverlappingTemplate 88 86 119 109 90 97 98 114 103 96 0.264901 0.9890 NonOverlappingTemplate 105 100 104 90 106 95 99 102 84 115 0.649612 0.9880 NonOverlappingTemplate 78 107 110 111 99 81 104 89 100 121 0.049664 0.9890 NonOverlappingTemplate 83 84 94 111 109 94 115 110 94 106 0.204439 0.9900 NonOverlappingTemplate 102 103 110 94 109 93 81 106 106 96 0.607993 0.9940 NonOverlappingTemplate 96 107 111 90 90 114 94 97 107 94 0.624627 0.9930 NonOverlappingTemplate 90 91 87 79 102 107 107 111 121 105 0.096578 0.9940 NonOverlappingTemplate 92 100 97 83 132 105 97 89 107 98 0.068145 0.9990 * NonOverlappingTemplate 97 89 98 104 96 110 91 107 80 128 0.071177 0.9950 NonOverlappingTemplate 100 110 107 112 95 88 90 114 90 94 0.442831 0.9880 NonOverlappingTemplate 91 116 88 94 113 107 96 80 106 109 0.177628 0.9890 NonOverlappingTemplate 96 92 105 123 97 87 79 101 97 123 0.036113 0.9890 NonOverlappingTemplate 88 104 86 110 101 123 99 94 104 91 0.262249 0.9920 NonOverlappingTemplate 98 95 117 104 91 96 90 98 106 105 0.743915 0.9910 NonOverlappingTemplate 105 105 101 100 91 99 101 99 93 106 0.987896 0.9880 NonOverlappingTemplate 98 102 95 91 95 107 110 108 109 85 0.680755 0.9880 NonOverlappingTemplate 116 90 107 95 98 88 107 83 105 111 0.302657 0.9870 NonOverlappingTemplate 97 110 104 90 92 102 116 104 107 78 0.277082 0.9880 NonOverlappingTemplate 87 104 97 99 114 92 99 112 98 98 0.731886 0.9890 NonOverlappingTemplate 119 102 101 96 98 105 88 107 83 101 0.442831 0.9860 NonOverlappingTemplate 95 105 95 105 99 106 93 99 97 106 0.985339 0.9880 NonOverlappingTemplate 120 92 85 106 97 112 105 96 91 96 0.337688 0.9840 NonOverlappingTemplate 112 93 98 115 90 99 106 103 80 104 0.363593 0.9890 NonOverlappingTemplate 101 102 108 93 103 105 99 103 85 101 0.919131 0.9930 NonOverlappingTemplate 117 93 94 90 89 97 114 108 111 87 0.240501 0.9880 NonOverlappingTemplate 89 108 86 101 106 92 111 102 92 113 0.494392 0.9910 NonOverlappingTemplate 105 107 101 103 105 97 89 103 103 87 0.893482 0.9860 NonOverlappingTemplate 125 99 93 105 106 94 87 81 109 101 0.128132 0.9890 NonOverlappingTemplate 104 103 84 101 97 100 89 115 105 102 0.672470 0.9910 NonOverlappingTemplate 100 94 114 105 83 121 95 97 94 97 0.299736 0.9890 NonOverlappingTemplate 97 86 109 99 99 127 79 98 99 107 0.087692 0.9910 NonOverlappingTemplate 96 91 91 127 91 108 100 82 104 110 0.093157 0.9920 NonOverlappingTemplate 93 107 90 99 94 112 100 93 99 113 0.741918 0.9900 NonOverlappingTemplate 100 96 112 98 83 105 114 104 95 93 0.570792 0.9940 NonOverlappingTemplate 100 112 93 88 112 97 100 110 94 94 0.676615 0.9910 NonOverlappingTemplate 89 94 93 115 110 97 112 86 86 118 0.122325 0.9950 NonOverlappingTemplate 105 100 98 101 95 100 101 114 98 88 0.911413 0.9910 NonOverlappingTemplate 104 97 112 100 107 103 87 96 92 102 0.851383 0.9900 NonOverlappingTemplate 115 103 105 86 101 76 104 112 99 99 0.216713 0.9850 NonOverlappingTemplate 107 96 111 102 119 99 82 99 98 87 0.311542 0.9890 NonOverlappingTemplate 99 105 104 90 121 104 92 99 95 91 0.564639 0.9880 NonOverlappingTemplate 97 111 117 82 101 100 104 105 97 86 0.358641 0.9910 NonOverlappingTemplate 101 106 101 85 96 123 100 105 82 101 0.238035 0.9930 NonOverlappingTemplate 105 86 110 110 103 92 88 93 119 94 0.286836 0.9910 NonOverlappingTemplate 106 103 113 91 107 104 84 114 89 89 0.308561 0.9910 NonOverlappingTemplate 105 89 103 93 108 98 97 104 102 101 0.963497 0.9900 NonOverlappingTemplate 107 101 94 116 98 109 81 94 85 115 0.174728 0.9890 NonOverlappingTemplate 95 102 101 95 104 101 103 97 104 98 0.999170 0.9910 NonOverlappingTemplate 91 88 96 113 81 118 108 102 120 83 0.029598 0.9940 NonOverlappingTemplate 96 103 104 86 96 109 108 92 104 102 0.849708 0.9870 NonOverlappingTemplate 103 115 110 89 91 98 105 94 99 96 0.721777 0.9880 NonOverlappingTemplate 108 113 105 92 97 109 91 100 88 97 0.693142 0.9890 NonOverlappingTemplate 85 104 115 111 83 98 101 112 89 102 0.242986 0.9910 NonOverlappingTemplate 86 81 111 86 99 96 120 111 102 108 0.096578 0.9950 NonOverlappingTemplate 100 97 101 106 95 88 114 107 90 102 0.775337 0.9860 NonOverlappingTemplate 102 110 95 102 101 90 106 109 98 87 0.812905 0.9910 NonOverlappingTemplate 108 123 95 98 93 91 93 101 102 96 0.512137 0.9880 NonOverlappingTemplate 99 101 101 88 118 94 81 105 110 103 0.348869 0.9930 NonOverlappingTemplate 100 111 103 91 81 105 101 97 112 99 0.583145 0.9880 NonOverlappingTemplate 92 94 110 104 100 115 90 81 107 107 0.350485 0.9930 NonOverlappingTemplate 109 84 97 105 103 115 113 100 85 89 0.262249 0.9870 NonOverlappingTemplate 103 111 88 112 93 101 100 101 97 94 0.821937 0.9940 NonOverlappingTemplate 105 100 107 84 101 100 118 89 109 87 0.329850 0.9870 NonOverlappingTemplate 83 111 100 111 95 98 93 90 122 97 0.212184 0.9900 NonOverlappingTemplate 91 99 92 116 113 96 93 109 96 95 0.576961 0.9910 NonOverlappingTemplate 99 99 113 108 111 108 84 95 86 97 0.431754 0.9920 NonOverlappingTemplate 101 114 104 95 82 92 94 119 98 101 0.328297 0.9890 NonOverlappingTemplate 76 103 115 88 103 102 103 115 98 97 0.205531 0.9890 NonOverlappingTemplate 97 103 105 104 104 108 108 88 76 107 0.373625 0.9920 NonOverlappingTemplate 118 105 110 88 96 89 108 98 96 92 0.457825 0.9920 NonOverlappingTemplate 100 90 93 100 100 103 98 87 117 112 0.570792 0.9880 NonOverlappingTemplate 120 85 97 94 98 117 116 89 103 81 0.047173 0.9870 NonOverlappingTemplate 105 84 98 117 112 88 116 95 84 101 0.122325 0.9890 NonOverlappingTemplate 98 106 94 96 108 105 106 101 91 95 0.954015 0.9880 NonOverlappingTemplate 104 102 102 99 100 91 104 99 94 105 0.993752 0.9930 NonOverlappingTemplate 100 93 95 102 91 118 103 96 106 96 0.779188 0.9910 NonOverlappingTemplate 109 100 97 105 105 107 105 74 100 98 0.442831 0.9900 NonOverlappingTemplate 95 82 110 78 89 104 103 95 128 116 0.010834 0.9960 NonOverlappingTemplate 89 109 98 103 91 98 115 90 112 95 0.540204 0.9910 NonOverlappingTemplate 95 92 103 109 79 110 102 94 94 122 0.171867 0.9920 NonOverlappingTemplate 104 103 87 97 94 122 94 115 99 85 0.207730 0.9930 NonOverlappingTemplate 110 116 92 94 89 114 98 90 96 101 0.442831 0.9870 NonOverlappingTemplate 94 98 97 115 107 111 75 120 97 86 0.052947 0.9930 NonOverlappingTemplate 103 100 98 105 89 93 94 96 103 119 0.709558 0.9920 NonOverlappingTemplate 110 84 101 93 106 89 108 112 99 98 0.558502 0.9850 NonOverlappingTemplate 87 106 104 109 104 94 105 95 83 113 0.473064 0.9890 NonOverlappingTemplate 106 90 105 104 77 88 107 116 97 110 0.179584 0.9860 NonOverlappingTemplate 97 108 104 113 99 89 106 96 117 71 0.075254 0.9910 NonOverlappingTemplate 96 106 90 110 100 112 93 110 95 88 0.622546 0.9910 NonOverlappingTemplate 116 94 94 89 103 108 98 91 117 90 0.353733 0.9860 NonOverlappingTemplate 118 83 98 111 111 105 99 94 84 97 0.221317 0.9930 NonOverlappingTemplate 102 87 99 103 105 98 103 105 113 85 0.699313 0.9910 NonOverlappingTemplate 94 93 94 106 111 109 108 97 90 98 0.801865 0.9910 NonOverlappingTemplate 100 93 97 97 90 96 104 101 116 106 0.841226 0.9860 NonOverlappingTemplate 114 94 106 104 109 94 89 93 108 89 0.579021 0.9830 NonOverlappingTemplate 79 98 107 119 117 103 74 93 103 107 0.022300 0.9810 * NonOverlappingTemplate 110 101 98 123 107 87 83 95 99 97 0.227180 0.9910 NonOverlappingTemplate 101 105 101 106 91 86 119 107 96 88 0.428095 0.9880 NonOverlappingTemplate 83 100 107 91 100 89 105 100 115 110 0.446556 0.9930 NonOverlappingTemplate 91 104 104 96 91 98 113 91 85 127 0.116065 0.9890 NonOverlappingTemplate 93 102 81 102 116 113 108 87 85 113 0.099513 0.9940 NonOverlappingTemplate 92 101 116 95 112 89 105 95 98 97 0.664168 0.9900 NonOverlappingTemplate 86 102 80 94 105 103 108 113 99 110 0.347257 0.9910 NonOverlappingTemplate 102 108 91 103 119 100 88 99 87 103 0.492436 0.9950 NonOverlappingTemplate 95 100 106 97 103 90 98 93 117 101 0.814724 0.9910 NonOverlappingTemplate 105 110 99 98 95 97 97 92 109 98 0.954930 0.9930 NonOverlappingTemplate 107 109 102 83 95 93 108 101 92 110 0.610070 0.9900 NonOverlappingTemplate 106 93 120 105 83 113 90 93 97 100 0.258307 0.9840 NonOverlappingTemplate 97 93 103 105 98 95 79 102 114 114 0.385543 0.9910 NonOverlappingTemplate 107 110 95 82 97 114 93 92 116 94 0.270265 0.9820 NonOverlappingTemplate 96 92 118 106 94 114 94 105 92 89 0.420827 0.9940 NonOverlappingTemplate 96 105 87 110 96 87 101 115 91 112 0.395940 0.9890 NonOverlappingTemplate 107 95 95 100 106 94 102 101 90 110 0.926487 0.9870 NonOverlappingTemplate 97 88 104 96 114 106 102 99 95 99 0.877083 0.9870 NonOverlappingTemplate 113 102 96 103 102 99 103 91 97 94 0.947308 0.9890 NonOverlappingTemplate 122 92 99 122 84 95 100 102 103 81 0.050629 0.9860 NonOverlappingTemplate 113 96 108 101 84 96 122 99 94 87 0.206629 0.9830 NonOverlappingTemplate 98 109 99 87 107 112 96 97 98 97 0.846338 0.9880 NonOverlappingTemplate 104 97 121 100 93 95 94 94 89 113 0.435430 0.9920 NonOverlappingTemplate 108 108 106 102 92 99 88 92 103 102 0.872425 0.9870 NonOverlappingTemplate 116 102 93 98 118 104 95 96 83 95 0.344048 0.9880 NonOverlappingTemplate 91 107 96 95 108 96 112 81 105 109 0.473064 0.9950 NonOverlappingTemplate 99 99 106 84 101 89 114 100 106 102 0.686955 0.9890 NonOverlappingTemplate 86 96 107 98 112 101 111 96 93 100 0.743915 0.9870 NonOverlappingTemplate 102 116 110 89 91 98 105 94 99 96 0.695200 0.9880 NonOverlappingTemplate 123 98 90 107 110 92 106 91 89 94 0.262249 0.9850 OverlappingTemplate 118 88 102 102 103 85 105 91 106 100 0.482707 0.9860 Universal 92 105 103 83 103 105 97 110 90 112 0.560545 0.9840 ApproximateEntropy 63 59 72 58 58 65 67 58 69 58 0.901601 0.9856 RandomExcursions 61 62 61 67 60 58 52 66 81 59 0.475296 0.9825 RandomExcursions 63 67 68 56 65 54 67 58 64 65 0.934091 0.9856 RandomExcursions 52 57 66 60 69 67 61 74 62 59 0.738303 0.9872 RandomExcursions 53 73 71 68 56 66 64 50 69 57 0.386875 0.9888 RandomExcursions 65 72 64 61 58 60 58 62 71 56 0.890110 0.9920 RandomExcursions 53 53 61 62 68 67 76 76 53 58 0.242986 0.9856 RandomExcursions 52 75 64 56 59 64 63 58 65 71 0.645516 0.9920 RandomExcursions 62 64 67 69 60 54 69 59 69 54 0.824357 0.9872 RandomExcursionsVariant 56 73 63 55 70 69 62 51 68 60 0.558699 0.9888 RandomExcursionsVariant 63 67 71 56 50 63 59 65 66 67 0.779497 0.9888 RandomExcursionsVariant 76 58 67 56 70 54 51 57 70 68 0.316393 0.9904 RandomExcursionsVariant 64 77 69 58 50 53 53 67 65 71 0.240980 0.9888 RandomExcursionsVariant 57 75 61 66 47 58 57 69 65 72 0.331257 0.9936 RandomExcursionsVariant 58 66 54 71 50 65 58 76 54 75 0.186566 0.9952 RandomExcursionsVariant 61 59 54 56 64 64 60 73 71 65 0.800846 0.9920 RandomExcursionsVariant 63 56 64 63 59 52 64 61 61 84 0.323767 0.9936 RandomExcursionsVariant 63 67 61 64 56 67 55 68 66 60 0.956843 0.9920 RandomExcursionsVariant 67 61 55 59 66 62 66 59 60 72 0.930401 0.9888 RandomExcursionsVariant 59 76 51 55 51 62 67 73 62 71 0.233084 0.9856 RandomExcursionsVariant 56 70 57 60 70 62 62 68 65 57 0.894779 0.9872 RandomExcursionsVariant 59 63 70 58 58 62 71 57 62 67 0.922697 0.9872 RandomExcursionsVariant 63 71 61 68 51 56 57 65 69 66 0.735066 0.9872 RandomExcursionsVariant 65 72 59 69 59 46 65 72 62 58 0.438764 0.9904 RandomExcursionsVariant 73 54 75 57 57 57 66 58 70 60 0.481520 0.9904 RandomExcursionsVariant 76 60 53 64 54 63 63 64 69 61 0.685690 0.9904 RandomExcursionsVariant 95 80 90 101 95 114 121 105 94 105 0.174728 0.9930 Serial 80 88 119 104 107 106 107 85 94 110 0.116746 0.9940 Serial 99 103 93 101 95 92 101 105 109 102 0.978072 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. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -