------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 106 90 105 99 105 104 104 105 95 87 0.884671 0.9910 Frequency 123 104 104 102 90 105 92 97 96 87 0.394195 0.9930 BlockFrequency 93 106 111 112 101 95 86 104 88 104 0.587274 0.9930 CumulativeSums 117 85 86 115 101 108 102 97 86 103 0.203351 0.9930 CumulativeSums 104 89 106 115 98 97 97 91 117 86 0.361938 0.9900 Runs 113 114 110 93 84 97 75 100 107 107 0.090388 0.9900 LongestRun 113 93 95 101 90 78 107 121 101 101 0.153763 0.9820 Rank 109 90 102 119 103 90 106 97 78 106 0.202268 0.9840 FFT 105 109 105 84 102 111 98 77 107 102 0.277082 0.9870 NonOverlappingTemplate 111 98 96 113 107 95 86 100 98 96 0.739918 0.9930 NonOverlappingTemplate 100 97 105 86 101 106 111 94 100 100 0.894918 0.9870 NonOverlappingTemplate 98 91 93 94 111 95 107 115 112 84 0.358641 0.9900 NonOverlappingTemplate 106 117 85 101 111 89 101 93 98 99 0.486588 0.9900 NonOverlappingTemplate 107 84 91 91 105 101 100 88 119 114 0.216713 0.9840 NonOverlappingTemplate 96 89 97 114 106 83 109 110 105 91 0.388990 0.9940 NonOverlappingTemplate 87 112 116 114 91 99 91 95 97 98 0.378705 0.9880 NonOverlappingTemplate 88 104 92 94 111 103 101 98 90 119 0.478839 0.9940 NonOverlappingTemplate 119 93 108 83 90 105 101 102 100 99 0.442831 0.9860 NonOverlappingTemplate 101 107 110 87 105 91 108 98 102 91 0.761719 0.9930 NonOverlappingTemplate 104 97 83 101 108 99 104 95 99 110 0.814724 0.9920 NonOverlappingTemplate 95 94 107 90 107 93 104 103 94 113 0.800005 0.9860 NonOverlappingTemplate 98 107 110 96 87 95 98 97 95 117 0.647530 0.9910 NonOverlappingTemplate 97 103 93 99 99 115 96 110 89 99 0.805569 0.9950 NonOverlappingTemplate 114 93 91 103 101 104 102 95 92 105 0.859637 0.9920 NonOverlappingTemplate 85 116 108 98 103 114 101 96 84 95 0.310049 0.9910 NonOverlappingTemplate 105 77 98 109 121 95 103 106 101 85 0.131122 0.9910 NonOverlappingTemplate 120 82 115 90 105 114 102 90 90 92 0.081013 0.9900 NonOverlappingTemplate 101 97 98 102 94 101 101 93 107 106 0.992952 0.9920 NonOverlappingTemplate 106 118 114 99 98 81 98 86 91 109 0.169981 0.9820 NonOverlappingTemplate 102 92 84 112 91 107 104 89 99 120 0.251837 0.9900 NonOverlappingTemplate 94 105 104 110 89 96 97 102 97 106 0.928857 0.9960 NonOverlappingTemplate 81 118 117 79 85 106 100 106 100 108 0.038062 0.9910 NonOverlappingTemplate 102 103 98 90 94 112 114 76 115 96 0.158133 0.9900 NonOverlappingTemplate 97 105 106 94 99 93 110 106 93 97 0.941144 0.9940 NonOverlappingTemplate 96 109 109 97 103 87 91 108 99 101 0.823725 0.9880 NonOverlappingTemplate 110 101 116 105 91 107 83 89 93 105 0.353733 0.9960 NonOverlappingTemplate 102 100 100 99 102 95 92 101 98 111 0.987079 0.9880 NonOverlappingTemplate 110 108 111 85 76 106 112 98 86 108 0.083018 0.9860 NonOverlappingTemplate 112 91 104 105 71 104 99 115 101 98 0.139655 0.9900 NonOverlappingTemplate 87 97 84 98 107 88 115 117 111 96 0.170922 0.9870 NonOverlappingTemplate 117 97 103 92 106 96 109 87 109 84 0.342451 0.9840 NonOverlappingTemplate 101 96 104 84 90 109 101 109 107 99 0.737915 0.9880 NonOverlappingTemplate 97 93 85 106 100 100 98 99 105 117 0.701366 0.9910 NonOverlappingTemplate 105 93 99 104 94 106 111 92 103 93 0.907419 0.9900 NonOverlappingTemplate 94 92 82 104 102 89 103 110 117 107 0.340858 0.9940 NonOverlappingTemplate 98 97 112 96 110 99 110 108 82 88 0.431754 0.9950 NonOverlappingTemplate 106 103 93 110 102 97 106 92 87 104 0.841226 0.9870 NonOverlappingTemplate 92 84 104 112 107 110 91 90 112 98 0.385543 0.9890 NonOverlappingTemplate 110 99 97 109 91 97 87 105 104 101 0.841226 0.9850 NonOverlappingTemplate 96 101 110 92 103 91 108 106 98 95 0.911413 0.9900 NonOverlappingTemplate 94 100 95 86 110 78 102 114 114 107 0.169044 0.9950 NonOverlappingTemplate 109 96 90 89 98 125 106 109 87 91 0.156373 0.9900 NonOverlappingTemplate 93 78 98 96 95 106 102 100 117 115 0.254411 0.9890 NonOverlappingTemplate 93 86 90 93 112 115 107 93 108 103 0.406499 0.9880 NonOverlappingTemplate 99 108 94 94 93 101 117 100 108 86 0.599693 0.9930 NonOverlappingTemplate 104 110 88 101 101 93 94 114 86 109 0.514124 0.9870 NonOverlappingTemplate 109 94 104 94 97 103 97 90 110 102 0.911413 0.9880 NonOverlappingTemplate 103 101 105 88 108 97 88 110 100 100 0.837781 0.9900 NonOverlappingTemplate 113 106 87 99 102 99 89 93 97 115 0.550347 0.9860 NonOverlappingTemplate 101 95 120 106 95 87 115 97 100 84 0.245490 0.9910 NonOverlappingTemplate 98 110 88 92 97 79 110 114 114 98 0.182550 0.9880 NonOverlappingTemplate 89 97 92 106 102 103 96 106 98 111 0.897763 0.9950 NonOverlappingTemplate 90 102 106 98 86 111 104 92 111 100 0.676615 0.9950 NonOverlappingTemplate 115 92 95 94 105 96 115 95 104 89 0.556460 0.9790 * NonOverlappingTemplate 109 98 105 96 94 87 82 106 113 110 0.383827 0.9890 NonOverlappingTemplate 99 100 87 120 97 102 90 105 100 100 0.628790 0.9890 NonOverlappingTemplate 101 98 94 106 107 96 100 98 99 101 0.997292 0.9890 NonOverlappingTemplate 110 97 102 88 107 94 107 106 91 98 0.823725 0.9890 NonOverlappingTemplate 103 117 108 85 102 101 114 91 92 87 0.274341 0.9890 NonOverlappingTemplate 101 103 86 123 88 103 105 92 84 115 0.103138 0.9900 NonOverlappingTemplate 101 122 113 90 98 96 105 89 87 99 0.282626 0.9890 NonOverlappingTemplate 101 108 97 96 101 115 102 102 107 71 0.205531 0.9940 NonOverlappingTemplate 91 93 106 98 104 106 90 110 111 91 0.715679 0.9880 NonOverlappingTemplate 83 100 108 97 103 116 88 81 124 100 0.047478 0.9920 NonOverlappingTemplate 97 91 107 100 107 99 101 95 102 101 0.987896 0.9900 NonOverlappingTemplate 114 119 97 98 110 87 98 86 94 97 0.286836 0.9970 NonOverlappingTemplate 100 91 99 99 106 110 96 100 97 102 0.981417 0.9890 NonOverlappingTemplate 128 101 96 92 97 95 106 95 88 102 0.270265 0.9880 NonOverlappingTemplate 83 86 96 106 88 94 106 114 115 112 0.154629 0.9960 NonOverlappingTemplate 97 98 100 109 97 97 105 92 113 92 0.887645 0.9900 NonOverlappingTemplate 102 129 85 84 91 106 109 95 109 90 0.044220 0.9860 NonOverlappingTemplate 102 106 90 115 105 88 112 100 88 94 0.476911 0.9880 NonOverlappingTemplate 106 108 105 83 103 111 98 78 106 102 0.295391 0.9870 NonOverlappingTemplate 103 99 103 82 91 105 102 106 105 104 0.807412 0.9920 NonOverlappingTemplate 99 104 91 108 108 116 96 99 95 84 0.554420 0.9940 NonOverlappingTemplate 118 92 108 98 104 101 110 90 100 79 0.266235 0.9890 NonOverlappingTemplate 99 98 97 106 94 87 106 119 104 90 0.566688 0.9900 NonOverlappingTemplate 102 112 99 86 117 83 105 109 101 86 0.199045 0.9880 NonOverlappingTemplate 106 97 107 87 106 97 80 104 99 117 0.339271 0.9890 NonOverlappingTemplate 115 89 100 89 105 102 98 117 91 94 0.431754 0.9890 NonOverlappingTemplate 94 117 106 87 73 104 109 96 116 98 0.060492 0.9940 NonOverlappingTemplate 109 102 87 99 82 102 98 89 102 130 0.064418 0.9840 NonOverlappingTemplate 96 84 102 97 112 111 97 99 100 102 0.775337 0.9930 NonOverlappingTemplate 107 102 100 95 98 90 95 100 99 114 0.908760 0.9900 NonOverlappingTemplate 87 103 103 115 103 88 94 113 97 97 0.546283 0.9930 NonOverlappingTemplate 82 87 92 105 106 116 96 111 102 103 0.331408 0.9940 NonOverlappingTemplate 92 99 111 95 90 106 110 94 107 96 0.790621 0.9910 NonOverlappingTemplate 109 104 115 115 93 106 90 85 95 88 0.258307 0.9920 NonOverlappingTemplate 99 98 106 108 92 107 105 102 91 92 0.916599 0.9850 NonOverlappingTemplate 116 94 85 107 97 98 97 113 98 95 0.548314 0.9910 NonOverlappingTemplate 108 93 112 107 104 98 96 96 95 91 0.864494 0.9820 NonOverlappingTemplate 113 113 105 83 73 99 102 107 93 112 0.061260 0.9860 NonOverlappingTemplate 97 85 112 88 96 81 111 92 115 123 0.031012 0.9930 NonOverlappingTemplate 90 92 121 91 102 112 94 78 124 96 0.021554 0.9880 NonOverlappingTemplate 79 103 100 101 100 101 102 107 98 109 0.749884 0.9950 NonOverlappingTemplate 102 92 110 109 100 77 90 116 92 112 0.144504 0.9830 NonOverlappingTemplate 114 106 98 111 90 101 92 77 101 110 0.241741 0.9920 NonOverlappingTemplate 88 101 102 88 95 106 101 122 89 108 0.331408 0.9910 NonOverlappingTemplate 109 110 83 95 100 107 98 87 110 101 0.516113 0.9850 NonOverlappingTemplate 103 90 84 98 110 104 116 102 92 101 0.524101 0.9900 NonOverlappingTemplate 103 108 103 82 90 98 90 102 105 119 0.350485 0.9940 NonOverlappingTemplate 93 119 98 112 103 105 102 97 92 79 0.268917 0.9910 NonOverlappingTemplate 111 103 95 102 106 110 81 99 78 115 0.134944 0.9840 NonOverlappingTemplate 98 96 95 96 98 92 119 91 101 114 0.566688 0.9910 NonOverlappingTemplate 100 91 103 96 102 107 98 96 122 85 0.448424 0.9890 NonOverlappingTemplate 105 85 105 104 121 95 87 106 93 99 0.340858 0.9930 NonOverlappingTemplate 99 118 95 102 85 95 97 101 111 97 0.591409 0.9910 NonOverlappingTemplate 96 104 89 95 101 106 100 105 97 107 0.965083 0.9880 NonOverlappingTemplate 91 106 104 100 94 98 103 100 83 121 0.426272 0.9950 NonOverlappingTemplate 92 93 98 116 98 107 93 113 90 100 0.591409 0.9880 NonOverlappingTemplate 98 101 99 99 95 97 97 96 111 107 0.984415 0.9950 NonOverlappingTemplate 89 101 125 95 109 90 110 83 89 109 0.079538 0.9950 NonOverlappingTemplate 97 99 110 96 106 112 111 96 84 89 0.514124 0.9980 NonOverlappingTemplate 105 107 105 89 109 99 98 90 100 98 0.904708 0.9870 NonOverlappingTemplate 98 101 104 110 101 92 109 99 97 89 0.912724 0.9950 NonOverlappingTemplate 110 98 100 99 96 101 97 99 105 95 0.994005 0.9830 NonOverlappingTemplate 92 105 108 107 99 103 99 98 94 95 0.972382 0.9910 NonOverlappingTemplate 103 101 106 113 101 102 78 102 87 107 0.413628 0.9920 NonOverlappingTemplate 105 102 106 106 102 104 87 93 97 98 0.940080 0.9830 NonOverlappingTemplate 106 92 98 100 110 104 92 103 95 100 0.956729 0.9900 NonOverlappingTemplate 100 86 95 109 108 94 84 104 113 107 0.444691 0.9890 NonOverlappingTemplate 105 100 92 92 107 92 123 96 101 92 0.459717 0.9840 NonOverlappingTemplate 100 108 94 111 97 81 99 98 108 104 0.662091 0.9900 NonOverlappingTemplate 87 103 95 101 96 121 111 91 105 90 0.360287 0.9930 NonOverlappingTemplate 97 102 104 100 104 101 99 100 98 95 0.999820 0.9900 NonOverlappingTemplate 79 104 84 126 111 96 89 116 100 95 0.022915 0.9900 NonOverlappingTemplate 100 99 97 104 87 97 116 96 97 107 0.803720 0.9940 NonOverlappingTemplate 92 117 109 93 110 85 103 101 105 85 0.298282 0.9900 NonOverlappingTemplate 96 99 111 88 108 105 93 95 92 113 0.660012 0.9900 NonOverlappingTemplate 106 97 115 80 110 98 105 104 98 87 0.360287 0.9870 NonOverlappingTemplate 109 95 107 89 90 100 104 108 101 97 0.862883 0.9920 NonOverlappingTemplate 103 100 120 105 94 110 103 88 90 87 0.357000 0.9930 NonOverlappingTemplate 108 85 93 103 113 92 112 103 95 96 0.560545 0.9920 NonOverlappingTemplate 102 86 103 99 98 98 111 86 103 114 0.595549 0.9950 NonOverlappingTemplate 95 100 101 96 101 108 98 109 83 109 0.777265 0.9900 NonOverlappingTemplate 94 86 106 106 103 97 90 104 104 110 0.784927 0.9900 NonOverlappingTemplate 118 101 89 97 86 104 110 101 101 93 0.516113 0.9870 NonOverlappingTemplate 101 94 100 92 101 88 108 114 95 107 0.759756 0.9860 NonOverlappingTemplate 97 99 102 99 89 104 110 99 108 93 0.932333 0.9880 NonOverlappingTemplate 100 104 111 89 94 101 82 98 95 126 0.152044 0.9880 NonOverlappingTemplate 103 108 96 106 106 89 96 99 94 103 0.944274 0.9810 * NonOverlappingTemplate 112 118 92 89 93 103 108 96 100 89 0.426272 0.9930 NonOverlappingTemplate 102 103 108 92 110 97 88 111 102 87 0.649612 0.9910 NonOverlappingTemplate 108 90 102 101 102 83 108 100 105 101 0.786830 0.9880 NonOverlappingTemplate 116 102 90 103 94 99 85 100 108 103 0.632955 0.9900 NonOverlappingTemplate 102 106 90 115 105 87 111 102 89 93 0.480771 0.9880 NonOverlappingTemplate 116 114 86 92 90 103 80 104 110 105 0.136499 0.9870 OverlappingTemplate 120 110 83 103 103 92 95 98 108 88 0.270265 0.9780 * Universal 116 121 110 90 84 112 93 89 90 95 0.068571 0.9870 ApproximateEntropy 59 56 62 61 48 69 61 51 69 68 0.544254 0.9967 RandomExcursions 60 59 46 59 74 62 70 39 73 62 0.029467 0.9884 RandomExcursions 59 59 55 60 68 63 67 69 50 54 0.729870 0.9917 RandomExcursions 55 71 67 61 61 61 50 69 52 57 0.581770 0.9901 RandomExcursions 56 49 59 62 66 60 70 67 61 54 0.733228 0.9884 RandomExcursions 63 53 59 69 69 54 58 58 72 49 0.452799 0.9934 RandomExcursions 58 68 63 64 59 71 55 57 61 48 0.682134 0.9884 RandomExcursions 67 54 56 58 61 67 64 55 59 63 0.944616 0.9834 RandomExcursions 49 52 75 63 57 68 59 62 63 56 0.465415 0.9917 RandomExcursionsVariant 48 63 59 67 58 70 58 70 43 68 0.175049 0.9934 RandomExcursionsVariant 60 47 69 54 58 72 65 55 68 56 0.401199 0.9901 RandomExcursionsVariant 59 53 61 46 74 66 69 75 40 61 0.019408 0.9868 RandomExcursionsVariant 63 51 59 57 64 63 61 58 54 74 0.736578 0.9884 RandomExcursionsVariant 66 59 50 50 55 62 83 52 65 62 0.096578 0.9868 RandomExcursionsVariant 71 60 45 47 56 56 85 62 68 54 0.011518 0.9868 RandomExcursionsVariant 68 58 54 65 64 62 53 55 60 65 0.902420 0.9868 RandomExcursionsVariant 75 52 54 51 56 69 67 59 61 60 0.416020 0.9868 RandomExcursionsVariant 56 53 58 70 63 60 62 61 65 56 0.928071 0.9884 RandomExcursionsVariant 56 55 63 70 52 63 69 72 48 56 0.339799 0.9884 RandomExcursionsVariant 63 52 61 68 55 67 45 67 72 54 0.268917 1.0000 RandomExcursionsVariant 65 59 53 76 56 69 57 60 53 56 0.497659 0.9901 RandomExcursionsVariant 64 53 68 57 66 67 64 53 60 52 0.753185 0.9868 RandomExcursionsVariant 64 59 49 69 65 67 56 62 51 62 0.675234 0.9868 RandomExcursionsVariant 66 50 61 61 61 64 57 63 57 64 0.951205 0.9901 RandomExcursionsVariant 60 63 68 45 65 66 58 60 52 67 0.540878 0.9917 RandomExcursionsVariant 58 64 50 60 67 75 51 59 61 59 0.537509 0.9934 RandomExcursionsVariant 111 91 111 117 100 90 100 97 90 93 0.465415 0.9860 Serial 95 108 89 100 95 110 124 114 84 81 0.045088 0.9880 Serial 107 99 89 82 114 93 112 99 116 89 0.180568 0.9900 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 0.979474 for a sample size = 604 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -