------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 101 77 96 106 93 112 102 111 93 109 0.326749 0.9850 Frequency 80 86 103 91 111 99 106 118 101 105 0.216713 0.9930 BlockFrequency 93 94 100 92 94 119 94 99 113 102 0.579021 0.9850 CumulativeSums 96 86 106 93 103 93 106 115 97 105 0.689019 0.9870 CumulativeSums 94 104 92 96 99 92 91 115 106 111 0.678686 0.9950 Runs 91 85 93 116 106 99 101 116 106 87 0.268917 0.9890 LongestRun 97 107 104 106 113 100 105 101 73 94 0.296834 0.9940 Rank 112 105 97 106 93 79 97 103 108 100 0.548314 0.9870 FFT 104 95 109 112 96 97 93 114 90 90 0.599693 0.9900 NonOverlappingTemplate 90 95 92 111 116 88 117 93 90 108 0.206629 0.9940 NonOverlappingTemplate 103 122 104 90 93 99 104 94 96 95 0.583145 0.9880 NonOverlappingTemplate 90 110 107 113 101 100 79 107 105 88 0.291091 0.9890 NonOverlappingTemplate 93 102 124 96 92 101 98 97 87 110 0.357000 0.9930 NonOverlappingTemplate 119 103 82 117 92 101 103 102 92 89 0.188601 0.9840 NonOverlappingTemplate 94 100 85 95 97 110 95 95 105 124 0.314544 0.9910 NonOverlappingTemplate 112 84 75 109 91 105 101 101 110 112 0.103138 0.9880 NonOverlappingTemplate 89 92 97 106 105 99 106 109 99 98 0.925287 0.9900 NonOverlappingTemplate 99 111 94 91 101 110 109 80 109 96 0.420827 0.9880 NonOverlappingTemplate 86 100 116 107 107 98 102 87 101 96 0.591409 0.9860 NonOverlappingTemplate 106 101 88 100 98 111 112 98 93 93 0.786830 0.9850 NonOverlappingTemplate 104 110 101 100 90 85 103 100 107 100 0.834308 0.9870 NonOverlappingTemplate 108 101 101 90 92 96 94 102 117 99 0.763677 0.9860 NonOverlappingTemplate 98 85 103 115 94 107 89 107 96 106 0.564639 0.9870 NonOverlappingTemplate 102 110 99 101 103 88 94 110 96 97 0.897763 0.9940 NonOverlappingTemplate 107 119 107 102 82 106 84 91 104 98 0.224821 0.9930 NonOverlappingTemplate 102 116 104 96 99 102 86 98 89 108 0.655854 0.9920 NonOverlappingTemplate 105 100 103 102 99 93 93 94 97 114 0.925287 0.9960 NonOverlappingTemplate 111 91 104 101 97 102 90 98 108 98 0.908760 0.9890 NonOverlappingTemplate 80 109 107 92 100 109 88 121 88 106 0.108791 0.9900 NonOverlappingTemplate 98 90 97 94 116 107 85 104 102 107 0.587274 0.9900 NonOverlappingTemplate 94 106 110 113 91 99 85 111 90 101 0.465415 0.9850 NonOverlappingTemplate 101 110 118 88 98 93 99 86 97 110 0.411840 0.9920 NonOverlappingTemplate 98 100 114 85 96 102 112 106 96 91 0.614226 0.9920 NonOverlappingTemplate 84 116 102 112 91 100 101 97 97 100 0.574903 0.9910 NonOverlappingTemplate 99 97 94 89 134 99 94 86 100 108 0.062821 0.9840 NonOverlappingTemplate 102 91 97 88 126 118 101 86 81 110 0.025535 0.9900 NonOverlappingTemplate 94 92 89 99 110 92 105 104 112 103 0.759756 0.9910 NonOverlappingTemplate 110 110 103 103 94 96 86 99 91 108 0.727851 0.9880 NonOverlappingTemplate 105 107 103 91 95 97 87 105 99 111 0.821937 0.9860 NonOverlappingTemplate 98 100 89 98 113 107 98 109 105 83 0.589341 0.9960 NonOverlappingTemplate 94 107 109 95 109 88 96 102 91 109 0.741918 0.9880 NonOverlappingTemplate 101 99 123 102 103 93 92 92 103 92 0.540204 0.9930 NonOverlappingTemplate 106 91 101 98 95 108 95 108 108 90 0.864494 0.9890 NonOverlappingTemplate 93 95 101 116 119 99 93 106 80 98 0.223648 0.9930 NonOverlappingTemplate 111 101 83 101 100 100 107 114 88 95 0.508172 0.9860 NonOverlappingTemplate 102 93 111 81 107 106 96 96 93 115 0.413628 0.9900 NonOverlappingTemplate 105 103 89 96 97 90 116 105 95 104 0.737915 0.9930 NonOverlappingTemplate 106 109 94 94 91 104 89 97 118 98 0.591409 0.9920 NonOverlappingTemplate 108 104 117 95 89 97 100 93 99 98 0.761719 0.9920 NonOverlappingTemplate 91 117 101 100 105 94 97 93 91 111 0.645448 0.9870 NonOverlappingTemplate 94 100 111 103 87 84 109 112 95 105 0.469232 0.9890 NonOverlappingTemplate 105 101 92 96 93 114 96 101 103 99 0.925287 0.9890 NonOverlappingTemplate 102 98 96 87 108 111 94 99 102 103 0.892036 0.9930 NonOverlappingTemplate 106 102 94 91 87 112 103 109 107 89 0.605916 0.9890 NonOverlappingTemplate 90 110 80 97 102 89 119 101 108 104 0.227180 0.9900 NonOverlappingTemplate 99 96 96 103 90 101 116 89 103 107 0.761719 0.9850 NonOverlappingTemplate 97 101 103 111 89 99 91 101 96 112 0.830808 0.9890 NonOverlappingTemplate 95 111 94 96 90 103 105 93 110 103 0.842937 0.9910 NonOverlappingTemplate 105 117 96 95 89 96 105 113 96 88 0.488534 0.9900 NonOverlappingTemplate 106 88 115 97 101 95 103 100 90 105 0.765632 0.9920 NonOverlappingTemplate 103 96 84 107 98 105 106 95 98 108 0.844641 0.9890 NonOverlappingTemplate 87 116 97 88 98 119 100 88 107 100 0.251837 0.9910 NonOverlappingTemplate 97 93 107 97 88 107 112 106 90 103 0.741918 0.9940 NonOverlappingTemplate 100 109 88 102 90 104 94 93 119 101 0.542228 0.9850 NonOverlappingTemplate 93 113 97 99 101 93 91 123 99 91 0.375313 0.9830 NonOverlappingTemplate 112 100 92 94 100 105 95 104 111 87 0.739918 0.9860 NonOverlappingTemplate 101 92 99 90 95 100 100 97 119 107 0.729870 0.9860 NonOverlappingTemplate 94 106 92 91 82 102 121 87 127 98 0.026233 0.9890 NonOverlappingTemplate 111 122 93 95 95 81 88 113 110 92 0.080027 0.9870 NonOverlappingTemplate 85 86 99 118 103 103 102 104 93 107 0.454053 0.9960 NonOverlappingTemplate 105 106 98 95 101 102 103 96 106 88 0.964295 0.9890 NonOverlappingTemplate 101 108 95 97 101 107 96 97 99 99 0.994720 0.9930 NonOverlappingTemplate 98 112 102 94 103 126 97 83 94 91 0.168112 0.9930 NonOverlappingTemplate 97 106 98 110 97 96 94 95 106 101 0.974370 0.9920 NonOverlappingTemplate 123 94 94 101 109 103 98 87 87 104 0.311542 0.9920 NonOverlappingTemplate 102 84 85 119 122 96 81 98 102 111 0.031219 0.9900 NonOverlappingTemplate 109 99 97 91 95 99 95 105 117 93 0.753844 0.9910 NonOverlappingTemplate 96 102 93 105 96 97 106 99 107 99 0.990483 0.9900 NonOverlappingTemplate 102 102 112 106 89 102 81 111 102 93 0.486588 0.9920 NonOverlappingTemplate 118 92 97 92 123 93 93 103 92 97 0.230755 0.9890 NonOverlappingTemplate 106 81 92 93 94 117 100 100 116 101 0.281232 0.9860 NonOverlappingTemplate 90 100 92 107 114 124 81 83 100 109 0.046269 0.9940 NonOverlappingTemplate 104 95 110 111 97 97 92 114 90 90 0.595549 0.9900 NonOverlappingTemplate 105 125 99 100 101 90 114 82 91 93 0.121616 0.9940 NonOverlappingTemplate 93 115 99 111 87 79 115 100 101 100 0.195864 0.9930 NonOverlappingTemplate 109 91 99 97 89 105 109 103 82 116 0.360287 0.9830 NonOverlappingTemplate 100 85 92 95 98 114 102 91 113 110 0.467322 0.9930 NonOverlappingTemplate 78 117 98 111 102 98 93 111 96 96 0.270265 0.9880 NonOverlappingTemplate 112 99 97 101 109 108 98 95 99 82 0.684890 0.9900 NonOverlappingTemplate 103 102 118 97 105 105 90 89 91 100 0.639202 0.9900 NonOverlappingTemplate 103 103 93 91 94 100 112 108 106 90 0.809249 0.9930 NonOverlappingTemplate 98 99 106 117 95 96 97 96 102 94 0.886162 0.9880 NonOverlappingTemplate 102 104 105 109 101 100 89 87 102 101 0.896345 0.9910 NonOverlappingTemplate 109 110 96 99 103 98 96 87 99 103 0.907419 0.9890 NonOverlappingTemplate 99 99 98 102 103 102 79 106 104 108 0.759756 0.9870 NonOverlappingTemplate 95 99 94 97 101 115 100 113 94 92 0.773405 0.9950 NonOverlappingTemplate 112 102 101 103 93 98 100 87 96 108 0.867692 0.9890 NonOverlappingTemplate 101 106 89 95 109 91 92 104 107 106 0.825505 0.9850 NonOverlappingTemplate 101 117 101 89 77 111 98 103 104 99 0.281232 0.9900 NonOverlappingTemplate 107 109 113 98 109 97 108 74 97 88 0.169044 0.9900 NonOverlappingTemplate 105 104 103 96 86 94 104 104 98 106 0.930026 0.9880 NonOverlappingTemplate 102 109 96 90 93 102 82 111 110 105 0.510153 0.9910 NonOverlappingTemplate 97 95 106 94 100 101 91 105 97 114 0.899171 0.9900 NonOverlappingTemplate 101 93 108 104 103 100 84 103 106 98 0.880145 0.9840 NonOverlappingTemplate 97 84 96 108 87 107 97 116 115 93 0.274341 0.9920 NonOverlappingTemplate 80 105 100 111 100 99 102 95 104 104 0.731886 0.9940 NonOverlappingTemplate 115 86 96 108 107 107 86 96 104 95 0.482707 0.9850 NonOverlappingTemplate 92 95 87 91 113 107 105 105 102 103 0.719747 0.9860 NonOverlappingTemplate 112 88 92 98 102 101 99 106 109 93 0.809249 0.9880 NonOverlappingTemplate 91 116 89 90 94 88 118 95 103 116 0.140453 0.9890 NonOverlappingTemplate 97 113 91 105 85 100 112 109 103 85 0.377007 0.9840 NonOverlappingTemplate 88 102 103 106 106 75 95 112 110 103 0.254411 0.9900 NonOverlappingTemplate 97 103 88 101 89 98 93 89 110 132 0.070737 0.9900 NonOverlappingTemplate 131 93 108 79 103 111 90 96 106 83 0.013287 0.9890 NonOverlappingTemplate 91 92 95 102 116 98 111 96 109 90 0.583145 0.9870 NonOverlappingTemplate 124 113 92 94 96 97 107 96 102 79 0.129620 0.9870 NonOverlappingTemplate 99 97 105 111 98 104 95 76 104 111 0.424453 0.9920 NonOverlappingTemplate 116 105 93 106 101 85 106 98 97 93 0.647530 0.9850 NonOverlappingTemplate 112 96 93 115 97 90 106 96 97 98 0.731886 0.9870 NonOverlappingTemplate 96 97 103 95 105 103 108 94 96 103 0.988291 0.9880 NonOverlappingTemplate 126 105 85 97 107 87 104 93 98 98 0.199045 0.9870 NonOverlappingTemplate 98 112 112 81 85 96 101 86 110 119 0.077607 0.9870 NonOverlappingTemplate 123 84 96 97 91 96 100 105 105 103 0.378705 0.9900 NonOverlappingTemplate 96 98 109 105 110 101 91 83 109 98 0.655854 0.9940 NonOverlappingTemplate 102 84 100 105 94 97 114 98 92 114 0.544254 0.9920 NonOverlappingTemplate 99 106 97 110 103 85 99 93 99 109 0.823725 0.9910 NonOverlappingTemplate 107 102 93 98 95 88 96 104 94 123 0.463512 0.9900 NonOverlappingTemplate 104 96 113 90 112 92 97 100 112 84 0.420827 0.9910 NonOverlappingTemplate 103 98 101 115 83 95 101 98 97 109 0.691081 0.9930 NonOverlappingTemplate 91 99 101 103 112 101 117 108 89 79 0.241741 0.9910 NonOverlappingTemplate 89 101 118 99 92 95 105 97 106 98 0.729870 0.9880 NonOverlappingTemplate 108 91 105 98 103 116 101 92 82 104 0.490483 0.9910 NonOverlappingTemplate 99 102 82 95 107 116 108 97 93 101 0.552383 0.9920 NonOverlappingTemplate 111 97 108 103 97 97 86 103 89 109 0.711601 0.9890 NonOverlappingTemplate 101 94 88 97 109 109 101 95 99 107 0.892036 0.9900 NonOverlappingTemplate 108 89 83 116 114 113 98 100 82 97 0.111389 0.9880 NonOverlappingTemplate 117 88 98 101 77 109 86 120 108 96 0.045088 0.9910 NonOverlappingTemplate 105 99 90 117 93 92 87 108 99 110 0.473064 0.9800 * NonOverlappingTemplate 98 106 97 100 96 106 112 81 104 100 0.717714 0.9870 NonOverlappingTemplate 104 85 109 106 106 99 107 90 83 111 0.388990 0.9890 NonOverlappingTemplate 104 90 111 93 97 110 96 102 104 93 0.851383 0.9960 NonOverlappingTemplate 110 87 106 105 96 82 105 99 106 104 0.587274 0.9900 NonOverlappingTemplate 100 85 98 95 109 100 100 104 114 95 0.767582 0.9880 NonOverlappingTemplate 109 104 104 92 96 97 94 105 85 114 0.653773 0.9890 NonOverlappingTemplate 99 120 111 88 100 101 104 93 93 91 0.473064 0.9890 NonOverlappingTemplate 89 108 81 117 105 108 100 93 90 109 0.240501 0.9920 NonOverlappingTemplate 108 106 120 92 98 94 104 94 90 94 0.542228 0.9920 NonOverlappingTemplate 79 107 97 94 91 109 98 123 94 108 0.149495 0.9900 NonOverlappingTemplate 92 76 104 105 94 108 100 109 104 108 0.399442 0.9900 NonOverlappingTemplate 113 107 97 111 96 110 82 102 94 88 0.373625 0.9910 NonOverlappingTemplate 107 119 94 89 105 88 105 107 92 94 0.428095 0.9880 NonOverlappingTemplate 106 101 92 98 100 108 98 106 94 97 0.979788 0.9910 NonOverlappingTemplate 105 94 111 88 96 94 110 101 105 96 0.816537 0.9940 NonOverlappingTemplate 102 108 99 96 108 102 97 75 106 107 0.463512 0.9920 NonOverlappingTemplate 92 93 102 127 85 94 105 96 105 101 0.228367 0.9930 NonOverlappingTemplate 90 100 92 107 112 125 82 81 102 109 0.041169 0.9940 NonOverlappingTemplate 104 101 101 103 80 96 102 97 116 100 0.624627 0.9860 OverlappingTemplate 94 97 115 103 88 111 98 112 93 89 0.473064 0.9920 Universal 82 90 117 94 107 114 96 97 98 105 0.313041 0.9890 ApproximateEntropy 68 67 60 49 55 58 58 56 66 71 0.602458 0.9852 RandomExcursions 70 66 49 61 61 52 76 58 52 63 0.280306 0.9901 RandomExcursions 55 60 61 73 67 60 59 56 62 55 0.848588 0.9918 RandomExcursions 61 59 63 56 57 79 60 68 55 50 0.369703 0.9951 RandomExcursions 64 65 48 65 66 69 56 63 55 57 0.695886 0.9934 RandomExcursions 56 63 56 66 62 65 59 69 64 48 0.759756 0.9951 RandomExcursions 58 55 68 59 67 55 72 67 55 52 0.585209 0.9770 * RandomExcursions 56 60 69 43 63 72 65 67 52 61 0.255705 0.9901 RandomExcursions 59 73 61 60 60 63 60 61 57 54 0.926088 0.9901 RandomExcursionsVariant 70 64 59 63 74 56 57 53 46 66 0.314042 0.9868 RandomExcursionsVariant 74 58 80 47 54 59 57 67 50 62 0.064149 0.9885 RandomExcursionsVariant 71 73 57 54 63 58 58 47 68 59 0.369703 0.9918 RandomExcursionsVariant 74 66 60 68 52 48 65 54 61 60 0.398272 0.9918 RandomExcursionsVariant 69 71 65 61 54 62 52 65 54 55 0.640590 0.9852 RandomExcursionsVariant 70 67 57 75 57 49 54 63 58 58 0.398272 0.9901 RandomExcursionsVariant 57 80 73 55 52 50 63 60 57 61 0.158133 0.9901 RandomExcursionsVariant 67 56 78 66 62 62 44 59 53 61 0.195163 0.9885 RandomExcursionsVariant 55 64 56 67 63 65 60 75 49 54 0.465415 0.9868 RandomExcursionsVariant 60 51 50 71 70 72 62 66 50 56 0.230755 0.9934 RandomExcursionsVariant 50 55 75 72 62 63 64 55 52 60 0.334538 0.9934 RandomExcursionsVariant 48 57 80 60 56 69 58 62 49 69 0.110952 0.9951 RandomExcursionsVariant 49 58 66 85 57 54 62 49 61 67 0.052498 0.9901 RandomExcursionsVariant 48 68 70 58 72 61 61 50 48 72 0.118812 0.9951 RandomExcursionsVariant 57 60 66 57 65 55 63 58 57 70 0.926088 0.9967 RandomExcursionsVariant 56 61 50 65 66 69 58 51 58 74 0.431143 1.0000 RandomExcursionsVariant 49 62 64 68 50 68 63 58 68 58 0.585209 0.9984 RandomExcursionsVariant 116 88 89 98 87 111 117 105 100 89 0.186566 0.9810 * Serial 118 92 101 105 91 96 100 98 101 98 0.816537 0.9890 Serial 96 106 112 108 91 100 90 102 99 96 0.866097 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 0.979508 for a sample size = 608 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -