------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 108 81 91 105 95 122 99 95 104 100 0.288249 0.9860 Frequency 87 114 106 110 127 98 91 85 83 99 0.031848 0.9930 BlockFrequency 105 89 92 102 112 91 105 93 109 102 0.741918 0.9890 CumulativeSums 102 102 95 91 94 107 108 103 89 109 0.856359 0.9850 CumulativeSums 110 96 103 96 98 97 95 104 109 92 0.946308 0.9900 Runs 89 110 98 97 110 102 95 83 116 100 0.429923 0.9910 LongestRun 95 115 101 107 110 98 91 106 89 88 0.548314 0.9850 Rank 106 117 101 88 98 98 114 97 105 76 0.169981 0.9940 FFT 95 97 112 90 118 82 100 92 103 111 0.262249 0.9870 NonOverlappingTemplate 106 100 92 80 115 101 90 106 99 111 0.363593 0.9860 NonOverlappingTemplate 80 111 91 106 97 105 106 113 92 99 0.399442 0.9960 NonOverlappingTemplate 88 99 94 111 103 94 109 89 118 95 0.439122 0.9900 NonOverlappingTemplate 94 98 118 83 88 92 108 109 111 99 0.257004 0.9930 NonOverlappingTemplate 99 83 98 116 111 108 98 102 105 80 0.231956 0.9960 NonOverlappingTemplate 103 91 96 89 112 112 97 109 100 91 0.651693 0.9910 NonOverlappingTemplate 101 91 111 92 106 98 94 106 103 98 0.916599 0.9880 NonOverlappingTemplate 112 88 91 126 103 110 86 98 91 95 0.102526 0.9900 NonOverlappingTemplate 85 89 100 99 117 108 97 118 95 92 0.260930 0.9870 NonOverlappingTemplate 118 88 81 92 99 106 107 112 95 102 0.241741 0.9830 NonOverlappingTemplate 89 106 101 87 87 116 117 114 93 90 0.127393 0.9960 NonOverlappingTemplate 109 103 94 95 94 96 107 104 98 100 0.974370 0.9870 NonOverlappingTemplate 98 92 99 92 98 107 95 96 116 107 0.805569 0.9900 NonOverlappingTemplate 117 93 100 98 101 99 94 95 105 98 0.887645 0.9910 NonOverlappingTemplate 105 97 106 97 104 110 110 99 87 85 0.647530 0.9910 NonOverlappingTemplate 97 104 112 114 104 95 95 89 94 96 0.735908 0.9910 NonOverlappingTemplate 97 93 104 86 92 113 101 104 109 101 0.737915 0.9940 NonOverlappingTemplate 88 111 87 100 95 105 100 101 105 108 0.765632 0.9930 NonOverlappingTemplate 102 108 101 97 103 92 103 88 114 92 0.775337 0.9910 NonOverlappingTemplate 114 106 117 109 98 77 80 107 101 91 0.054314 0.9880 NonOverlappingTemplate 92 106 103 99 103 98 95 102 102 100 0.996677 0.9890 NonOverlappingTemplate 95 105 88 96 108 103 101 102 88 114 0.711601 0.9930 NonOverlappingTemplate 86 92 91 111 122 92 93 98 110 105 0.220159 0.9920 NonOverlappingTemplate 100 126 84 100 89 124 86 95 95 101 0.027313 0.9950 NonOverlappingTemplate 104 80 107 109 99 119 114 95 80 93 0.071620 0.9900 NonOverlappingTemplate 100 105 115 103 93 109 92 99 82 102 0.552383 0.9880 NonOverlappingTemplate 88 102 108 75 106 97 111 113 110 90 0.132640 0.9920 NonOverlappingTemplate 99 86 104 100 84 119 97 101 109 101 0.417219 0.9850 NonOverlappingTemplate 101 90 109 115 103 86 107 92 100 97 0.601766 0.9890 NonOverlappingTemplate 101 88 96 110 104 96 114 103 102 86 0.639202 0.9920 NonOverlappingTemplate 114 107 92 87 93 94 111 103 92 107 0.528111 0.9890 NonOverlappingTemplate 112 117 100 97 85 109 98 91 79 112 0.116065 0.9930 NonOverlappingTemplate 90 109 106 88 110 123 77 95 102 100 0.078567 0.9940 NonOverlappingTemplate 115 98 91 88 102 104 109 106 104 83 0.440975 0.9890 NonOverlappingTemplate 91 89 111 98 99 105 97 99 108 103 0.886162 0.9850 NonOverlappingTemplate 100 99 91 104 102 104 106 99 102 93 0.990138 0.9920 NonOverlappingTemplate 112 97 107 102 97 87 100 89 111 98 0.709558 0.9890 NonOverlappingTemplate 125 96 95 88 98 101 91 108 96 102 0.366918 0.9840 NonOverlappingTemplate 90 90 123 103 90 102 90 102 107 103 0.347257 0.9910 NonOverlappingTemplate 96 98 97 100 89 109 99 97 108 107 0.939005 0.9880 NonOverlappingTemplate 112 87 98 112 82 87 106 116 102 98 0.184549 0.9840 NonOverlappingTemplate 104 107 103 98 113 89 82 97 107 100 0.585209 0.9940 NonOverlappingTemplate 95 104 102 107 112 90 104 102 89 95 0.830808 0.9970 NonOverlappingTemplate 93 110 109 106 106 90 93 92 110 91 0.641284 0.9910 NonOverlappingTemplate 91 104 105 103 96 95 110 99 99 98 0.972382 0.9940 NonOverlappingTemplate 97 84 103 110 96 91 104 111 95 109 0.622546 0.9900 NonOverlappingTemplate 118 73 109 114 91 90 103 97 116 89 0.024688 0.9860 NonOverlappingTemplate 90 81 122 98 95 112 111 95 108 88 0.098920 0.9930 NonOverlappingTemplate 108 105 99 99 99 102 111 97 97 83 0.812905 0.9880 NonOverlappingTemplate 95 104 99 98 126 97 96 94 93 98 0.498313 0.9880 NonOverlappingTemplate 93 118 90 102 101 113 99 83 97 104 0.382115 0.9960 NonOverlappingTemplate 96 91 101 121 104 110 93 93 97 94 0.536163 0.9900 NonOverlappingTemplate 109 101 105 97 102 106 101 93 100 86 0.910091 0.9910 NonOverlappingTemplate 100 90 92 89 92 96 118 117 104 102 0.352107 0.9910 NonOverlappingTemplate 113 97 111 88 99 115 90 100 94 93 0.480771 0.9880 NonOverlappingTemplate 88 110 102 102 115 95 91 104 109 84 0.404728 0.9880 NonOverlappingTemplate 102 87 101 89 117 126 85 100 101 92 0.078086 0.9900 NonOverlappingTemplate 96 89 91 118 98 91 112 105 90 110 0.353733 0.9940 NonOverlappingTemplate 91 106 99 109 100 105 83 91 106 110 0.605916 0.9890 NonOverlappingTemplate 95 93 121 92 107 90 95 120 89 98 0.172816 0.9910 NonOverlappingTemplate 84 104 99 97 110 110 88 106 110 92 0.508172 0.9890 NonOverlappingTemplate 119 102 88 103 103 115 93 63 108 106 0.006906 0.9920 NonOverlappingTemplate 103 90 100 99 119 90 95 104 92 108 0.595549 0.9860 NonOverlappingTemplate 85 91 93 101 115 117 100 80 99 119 0.060492 0.9930 NonOverlappingTemplate 105 90 98 99 81 108 113 116 95 95 0.326749 0.9830 NonOverlappingTemplate 108 89 98 109 103 102 95 108 96 92 0.873987 0.9900 NonOverlappingTemplate 120 94 86 94 109 81 99 97 109 111 0.152902 0.9860 NonOverlappingTemplate 110 102 96 91 95 95 116 98 95 102 0.798139 0.9840 NonOverlappingTemplate 96 99 93 102 107 91 99 101 110 102 0.961869 0.9900 NonOverlappingTemplate 108 79 110 109 89 109 119 96 86 95 0.094854 0.9880 NonOverlappingTemplate 104 105 88 96 97 105 97 108 92 108 0.886162 0.9890 NonOverlappingTemplate 102 97 79 102 116 109 100 103 106 86 0.322135 0.9890 NonOverlappingTemplate 111 111 83 110 101 104 106 96 83 95 0.339271 0.9860 NonOverlappingTemplate 95 97 112 91 117 82 100 92 103 111 0.299736 0.9870 NonOverlappingTemplate 106 107 103 105 101 82 92 105 104 95 0.765632 0.9890 NonOverlappingTemplate 90 93 104 98 109 95 105 106 97 103 0.939005 0.9890 NonOverlappingTemplate 93 97 108 103 100 102 79 114 105 99 0.536163 0.9940 NonOverlappingTemplate 97 112 85 95 85 111 104 101 105 105 0.518106 0.9920 NonOverlappingTemplate 107 89 120 90 102 96 103 92 92 109 0.429923 0.9870 NonOverlappingTemplate 106 81 99 90 95 97 96 123 100 113 0.188601 0.9900 NonOverlappingTemplate 88 115 95 100 104 106 104 96 95 97 0.823725 0.9940 NonOverlappingTemplate 91 100 97 91 102 104 101 122 91 101 0.576961 0.9900 NonOverlappingTemplate 101 94 91 87 128 85 104 112 97 101 0.100709 0.9850 NonOverlappingTemplate 98 105 92 87 102 108 99 105 101 103 0.932333 0.9940 NonOverlappingTemplate 92 106 106 93 87 103 97 113 101 102 0.792508 0.9910 NonOverlappingTemplate 89 114 112 96 96 98 107 91 95 102 0.682823 0.9890 NonOverlappingTemplate 102 118 90 103 91 81 102 100 101 112 0.328297 0.9820 NonOverlappingTemplate 90 108 112 91 112 112 88 97 95 95 0.455937 0.9920 NonOverlappingTemplate 104 91 108 117 83 105 103 99 88 102 0.417219 0.9910 NonOverlappingTemplate 111 97 98 84 115 105 95 107 93 95 0.546283 0.9870 NonOverlappingTemplate 97 117 105 96 89 101 97 98 102 98 0.849708 0.9880 NonOverlappingTemplate 93 101 101 113 101 101 101 108 99 82 0.727851 0.9900 NonOverlappingTemplate 91 105 102 101 110 106 101 97 98 89 0.922855 0.9880 NonOverlappingTemplate 102 114 100 112 105 113 92 102 72 88 0.082010 0.9910 NonOverlappingTemplate 110 93 83 103 123 99 110 95 97 87 0.171867 0.9870 NonOverlappingTemplate 92 112 101 99 110 86 76 102 119 103 0.103753 0.9890 NonOverlappingTemplate 89 98 96 126 101 100 109 99 84 98 0.236810 0.9920 NonOverlappingTemplate 99 105 107 93 104 95 83 98 102 114 0.680755 0.9910 NonOverlappingTemplate 98 105 105 91 100 91 103 105 102 100 0.979788 0.9920 NonOverlappingTemplate 113 86 105 92 107 95 106 92 110 94 0.570792 0.9870 NonOverlappingTemplate 95 110 107 90 93 101 109 94 99 102 0.878618 0.9850 NonOverlappingTemplate 95 89 95 106 81 95 108 105 122 104 0.223648 0.9880 NonOverlappingTemplate 102 93 118 85 93 101 106 100 96 106 0.595549 0.9850 NonOverlappingTemplate 85 105 89 86 91 118 97 115 119 95 0.068571 0.9930 NonOverlappingTemplate 98 100 93 100 111 102 100 108 90 98 0.943242 0.9880 NonOverlappingTemplate 107 99 97 103 104 106 106 102 81 95 0.792508 0.9890 NonOverlappingTemplate 105 109 105 110 108 88 86 81 108 100 0.304126 0.9880 NonOverlappingTemplate 96 92 113 104 99 110 102 94 87 103 0.755819 0.9840 NonOverlappingTemplate 100 104 107 93 101 98 96 102 114 85 0.779188 0.9890 NonOverlappingTemplate 97 91 90 106 120 108 81 95 102 110 0.224821 0.9850 NonOverlappingTemplate 100 114 98 102 95 96 107 116 87 85 0.397688 0.9900 NonOverlappingTemplate 101 94 121 107 111 100 85 92 96 93 0.348869 0.9920 NonOverlappingTemplate 100 107 102 89 92 112 105 101 99 93 0.869278 0.9840 NonOverlappingTemplate 95 105 104 85 103 109 96 107 102 94 0.846338 0.9930 NonOverlappingTemplate 103 104 107 100 116 79 106 102 91 92 0.387264 0.9900 NonOverlappingTemplate 86 113 95 89 100 86 107 91 112 121 0.114712 0.9930 NonOverlappingTemplate 119 109 100 94 94 89 89 111 95 100 0.435430 0.9850 NonOverlappingTemplate 106 106 92 101 106 96 89 115 96 93 0.739918 0.9830 NonOverlappingTemplate 93 103 115 116 97 99 102 84 98 93 0.473064 0.9860 NonOverlappingTemplate 83 104 106 93 106 101 105 89 98 115 0.532132 0.9930 NonOverlappingTemplate 105 89 99 84 99 109 106 95 107 107 0.695200 0.9900 NonOverlappingTemplate 94 90 90 102 102 112 106 94 102 108 0.809249 0.9890 NonOverlappingTemplate 112 82 120 114 103 97 96 74 86 116 0.008090 0.9920 NonOverlappingTemplate 113 97 107 104 106 91 84 102 81 115 0.209948 0.9960 NonOverlappingTemplate 105 95 114 103 92 87 102 96 99 107 0.781106 0.9910 NonOverlappingTemplate 90 94 102 102 108 108 100 102 104 90 0.916599 0.9900 NonOverlappingTemplate 94 99 92 95 99 107 106 120 103 85 0.488534 0.9900 NonOverlappingTemplate 106 81 93 96 99 108 97 98 116 106 0.502247 0.9900 NonOverlappingTemplate 101 101 100 106 105 89 83 103 101 111 0.735908 0.9920 NonOverlappingTemplate 90 96 104 99 116 97 101 91 103 103 0.836048 0.9880 NonOverlappingTemplate 96 104 100 105 95 101 100 97 96 106 0.997568 0.9960 NonOverlappingTemplate 105 118 98 97 104 89 110 107 78 94 0.231956 0.9930 NonOverlappingTemplate 83 111 101 100 84 115 103 94 104 105 0.368587 0.9930 NonOverlappingTemplate 105 97 82 99 88 112 94 120 89 114 0.122325 0.9850 NonOverlappingTemplate 92 117 97 115 73 119 80 102 95 110 0.008691 0.9850 NonOverlappingTemplate 111 113 91 83 82 86 104 117 110 103 0.068145 0.9900 NonOverlappingTemplate 119 97 89 107 86 103 97 97 103 102 0.558502 0.9860 NonOverlappingTemplate 100 97 96 90 100 106 112 110 93 96 0.859637 0.9880 NonOverlappingTemplate 96 92 99 123 104 103 91 102 92 98 0.546283 0.9950 NonOverlappingTemplate 96 118 102 115 113 99 99 83 83 92 0.128874 0.9960 NonOverlappingTemplate 89 92 93 107 102 85 101 114 98 119 0.293952 0.9920 NonOverlappingTemplate 94 99 109 108 98 84 112 93 105 98 0.674543 0.9890 NonOverlappingTemplate 104 104 94 83 104 96 112 104 107 92 0.676615 0.9860 NonOverlappingTemplate 89 113 105 101 90 109 88 102 101 102 0.689019 0.9940 NonOverlappingTemplate 117 103 79 103 110 85 93 104 97 109 0.197981 0.9890 NonOverlappingTemplate 106 92 97 110 106 113 89 95 85 107 0.500279 0.9900 NonOverlappingTemplate 111 111 83 111 100 104 106 96 83 95 0.323668 0.9860 NonOverlappingTemplate 95 95 113 111 109 102 104 95 92 84 0.548314 0.9880 OverlappingTemplate 102 97 109 115 97 99 93 99 97 92 0.873987 0.9870 Universal 116 97 105 108 113 100 90 93 87 91 0.417219 0.9880 ApproximateEntropy 62 56 73 71 77 66 62 45 65 53 0.142859 0.9873 RandomExcursions 65 68 63 70 58 53 60 74 52 67 0.589308 0.9873 RandomExcursions 60 57 71 63 75 67 68 55 55 59 0.642077 0.9730 * RandomExcursions 70 59 59 42 55 76 58 62 78 71 0.048965 0.9921 RandomExcursions 50 76 61 55 60 55 56 64 81 72 0.095845 0.9952 RandomExcursions 60 66 58 53 62 57 63 68 76 67 0.720714 0.9921 RandomExcursions 70 50 58 64 57 80 78 51 58 64 0.082978 0.9937 RandomExcursions 63 56 63 61 54 72 65 60 66 70 0.872450 0.9937 RandomExcursions 74 65 57 55 58 70 71 70 61 49 0.374107 0.9889 RandomExcursionsVariant 72 62 59 61 71 56 75 62 65 47 0.363488 0.9873 RandomExcursionsVariant 68 66 79 56 77 60 52 56 62 54 0.179833 0.9810 RandomExcursionsVariant 65 78 61 77 57 60 59 58 61 54 0.390391 0.9825 RandomExcursionsVariant 63 68 69 64 57 60 51 74 61 63 0.743091 0.9825 RandomExcursionsVariant 61 53 74 62 58 59 55 68 73 67 0.586028 0.9778 * RandomExcursionsVariant 63 58 55 66 62 72 60 69 55 70 0.801393 0.9841 RandomExcursionsVariant 63 68 50 56 79 71 59 63 67 54 0.294660 0.9873 RandomExcursionsVariant 57 65 58 66 64 74 51 64 59 72 0.642077 0.9873 RandomExcursionsVariant 48 72 52 79 61 74 63 56 57 68 0.103401 0.9921 RandomExcursionsVariant 47 70 65 69 58 72 77 52 50 70 0.074542 0.9952 RandomExcursionsVariant 52 56 67 65 71 63 67 59 69 61 0.818830 0.9937 RandomExcursionsVariant 49 70 69 58 58 61 63 70 66 66 0.701268 0.9952 RandomExcursionsVariant 46 71 80 59 75 48 62 64 61 64 0.058748 0.9952 RandomExcursionsVariant 55 72 70 61 73 63 54 62 55 65 0.625552 0.9905 RandomExcursionsVariant 57 69 75 62 72 56 71 50 54 64 0.310949 0.9841 RandomExcursionsVariant 66 64 78 69 54 63 66 62 52 56 0.490050 0.9857 RandomExcursionsVariant 67 71 68 62 71 60 61 50 55 65 0.671779 0.9841 RandomExcursionsVariant 93 94 95 91 119 88 101 116 104 99 0.375313 0.9860 Serial 85 89 104 100 118 106 85 101 109 103 0.320607 0.9830 Serial 93 91 115 104 85 87 108 121 94 102 0.158133 0.9940 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 0.979693 for a sample size = 630 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -