------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 111 100 94 108 85 104 109 94 112 83 0.340858 0.9910 Frequency 101 105 99 76 90 102 112 101 103 111 0.365253 0.9910 BlockFrequency 100 103 95 104 106 95 101 95 108 93 0.980883 0.9920 CumulativeSums 102 96 103 96 105 100 97 101 99 101 0.999752 0.9910 CumulativeSums 92 96 100 97 102 110 108 117 88 90 0.544254 0.9900 Runs 80 111 103 102 96 113 108 97 98 92 0.474986 0.9900 LongestRun 96 112 92 94 101 96 98 98 96 117 0.749884 0.9910 Rank 109 104 95 103 96 91 95 96 106 105 0.951205 0.9920 FFT 114 105 101 99 88 92 92 100 106 103 0.798139 0.9900 NonOverlappingTemplate 109 100 92 87 105 113 108 86 103 97 0.548314 0.9940 NonOverlappingTemplate 117 94 86 106 99 112 114 88 89 95 0.220159 0.9860 NonOverlappingTemplate 98 105 87 102 89 99 106 110 96 108 0.798139 0.9950 NonOverlappingTemplate 109 87 95 103 105 85 95 106 107 108 0.628790 0.9900 NonOverlappingTemplate 101 103 130 110 64 90 98 101 101 102 0.004055 0.9920 NonOverlappingTemplate 103 108 95 101 115 97 97 82 99 103 0.662091 0.9910 NonOverlappingTemplate 98 81 91 106 114 105 108 100 98 99 0.562591 0.9900 NonOverlappingTemplate 100 104 99 100 98 105 107 99 100 88 0.983453 0.9920 NonOverlappingTemplate 104 90 120 106 85 98 99 105 88 105 0.370262 0.9890 NonOverlappingTemplate 110 89 82 97 114 103 95 104 95 111 0.395940 0.9860 NonOverlappingTemplate 92 108 92 99 105 105 96 111 85 107 0.684890 0.9930 NonOverlappingTemplate 113 109 95 112 94 98 75 97 104 103 0.263572 0.9910 NonOverlappingTemplate 97 89 101 102 95 111 93 105 105 102 0.921624 0.9960 NonOverlappingTemplate 108 123 108 101 85 77 101 92 113 92 0.047173 0.9910 NonOverlappingTemplate 108 87 96 117 99 81 131 103 99 79 0.005932 0.9880 NonOverlappingTemplate 100 92 77 104 121 98 109 99 100 100 0.251837 0.9910 NonOverlappingTemplate 100 97 89 109 113 116 88 95 95 98 0.500279 0.9920 NonOverlappingTemplate 97 111 97 101 109 93 111 88 100 93 0.755819 0.9920 NonOverlappingTemplate 98 101 107 103 96 87 83 97 106 122 0.299736 0.9870 NonOverlappingTemplate 102 103 86 99 92 94 103 110 100 111 0.798139 0.9910 NonOverlappingTemplate 101 96 113 108 83 98 107 100 94 100 0.711601 0.9880 NonOverlappingTemplate 102 94 99 103 92 95 103 101 104 107 0.989055 0.9880 NonOverlappingTemplate 101 90 99 94 108 98 110 102 105 93 0.921624 0.9940 NonOverlappingTemplate 106 98 95 107 94 95 99 113 97 96 0.930026 0.9890 NonOverlappingTemplate 102 100 82 108 110 102 112 100 98 86 0.494392 0.9880 NonOverlappingTemplate 106 89 93 100 109 112 88 104 107 92 0.632955 0.9850 NonOverlappingTemplate 113 103 105 115 85 109 88 90 94 98 0.336111 0.9920 NonOverlappingTemplate 90 96 95 105 114 93 115 107 95 90 0.524101 0.9920 NonOverlappingTemplate 97 101 104 109 106 104 86 101 98 94 0.914025 0.9970 NonOverlappingTemplate 106 93 114 110 81 92 93 101 113 97 0.323668 0.9880 NonOverlappingTemplate 116 108 101 86 80 95 108 102 91 113 0.181557 0.9900 NonOverlappingTemplate 101 101 91 91 98 95 117 87 114 105 0.463512 0.9950 NonOverlappingTemplate 92 102 97 96 106 106 99 114 93 95 0.886162 0.9970 NonOverlappingTemplate 103 101 104 91 115 91 87 117 100 91 0.390721 0.9910 NonOverlappingTemplate 100 93 100 98 102 106 90 95 107 109 0.942198 0.9900 NonOverlappingTemplate 106 97 92 109 88 102 96 105 108 97 0.873987 0.9870 NonOverlappingTemplate 107 101 108 100 110 87 91 103 101 92 0.800005 0.9890 NonOverlappingTemplate 94 93 104 107 96 101 93 106 113 93 0.859637 0.9910 NonOverlappingTemplate 97 90 107 90 116 93 92 105 111 99 0.560545 0.9900 NonOverlappingTemplate 121 102 100 91 97 92 123 84 95 95 0.110734 0.9830 NonOverlappingTemplate 98 98 104 106 104 103 86 89 100 112 0.792508 0.9910 NonOverlappingTemplate 97 96 102 111 93 106 107 87 91 110 0.705466 0.9920 NonOverlappingTemplate 104 98 98 112 93 111 91 97 91 105 0.803720 0.9880 NonOverlappingTemplate 114 91 92 93 109 106 96 100 100 99 0.812905 0.9910 NonOverlappingTemplate 104 94 93 114 95 107 92 102 101 98 0.880145 0.9840 NonOverlappingTemplate 98 92 98 89 96 102 108 100 108 109 0.896345 0.9900 NonOverlappingTemplate 102 101 111 81 123 95 93 104 103 87 0.169981 0.9900 NonOverlappingTemplate 103 114 99 95 105 102 98 92 93 99 0.925287 0.9930 NonOverlappingTemplate 94 100 102 90 111 108 99 94 96 106 0.901959 0.9900 NonOverlappingTemplate 94 85 105 103 100 111 105 103 87 107 0.670396 0.9920 NonOverlappingTemplate 95 103 104 96 93 103 111 100 94 101 0.971006 0.9910 NonOverlappingTemplate 92 92 119 113 109 84 94 88 109 100 0.183547 0.9970 NonOverlappingTemplate 108 103 95 109 104 98 86 92 96 109 0.783019 0.9870 NonOverlappingTemplate 94 96 96 101 101 110 101 92 102 107 0.968863 0.9860 NonOverlappingTemplate 107 90 102 101 101 109 92 92 108 98 0.889118 0.9900 NonOverlappingTemplate 91 111 97 108 109 85 99 102 105 93 0.678686 0.9930 NonOverlappingTemplate 90 115 98 113 99 93 92 95 103 102 0.689019 0.9930 NonOverlappingTemplate 94 94 87 108 111 102 117 106 102 79 0.213309 0.9900 NonOverlappingTemplate 93 109 101 89 99 86 106 93 108 116 0.480771 0.9860 NonOverlappingTemplate 95 96 88 98 113 99 103 109 91 108 0.745908 0.9910 NonOverlappingTemplate 108 108 89 108 95 98 96 99 93 106 0.880145 0.9890 NonOverlappingTemplate 104 102 100 90 87 102 87 106 109 113 0.587274 0.9900 NonOverlappingTemplate 95 114 98 90 100 97 104 112 104 86 0.630872 0.9940 NonOverlappingTemplate 88 110 100 114 98 84 99 108 97 102 0.556460 0.9870 NonOverlappingTemplate 86 112 97 113 94 94 114 93 93 104 0.437274 0.9950 NonOverlappingTemplate 121 90 110 97 101 93 94 103 100 91 0.508172 0.9890 NonOverlappingTemplate 101 112 95 103 95 126 80 98 89 101 0.120207 0.9900 NonOverlappingTemplate 103 91 94 100 119 88 88 103 122 92 0.148653 0.9850 NonOverlappingTemplate 104 99 109 100 85 105 109 89 104 96 0.757790 0.9820 NonOverlappingTemplate 101 117 99 78 118 96 106 112 98 75 0.023228 0.9780 * NonOverlappingTemplate 95 107 98 101 108 93 98 103 97 100 0.989055 0.9930 NonOverlappingTemplate 103 111 95 94 89 105 99 114 96 94 0.753844 0.9930 NonOverlappingTemplate 108 101 108 112 89 103 86 92 93 108 0.558502 0.9950 NonOverlappingTemplate 112 107 100 101 87 92 92 100 106 103 0.801865 0.9900 NonOverlappingTemplate 104 86 101 95 113 100 111 108 91 91 0.581082 0.9910 NonOverlappingTemplate 91 112 86 112 109 102 94 99 91 104 0.550347 0.9840 NonOverlappingTemplate 96 108 83 95 98 93 123 101 103 100 0.361938 0.9910 NonOverlappingTemplate 81 94 103 104 101 139 100 102 67 109 0.000276 0.9910 NonOverlappingTemplate 95 110 104 88 100 87 110 83 120 103 0.185555 0.9940 NonOverlappingTemplate 121 82 109 107 94 101 86 114 94 92 0.114040 0.9860 NonOverlappingTemplate 99 90 99 88 92 92 116 116 100 108 0.392456 0.9940 NonOverlappingTemplate 102 114 91 97 88 97 118 114 84 95 0.189625 0.9900 NonOverlappingTemplate 96 106 89 105 98 87 104 109 98 108 0.801865 0.9880 NonOverlappingTemplate 100 101 109 104 105 108 90 94 96 93 0.919131 0.9860 NonOverlappingTemplate 118 94 100 93 101 85 85 114 115 95 0.159910 0.9880 NonOverlappingTemplate 101 97 88 111 96 106 91 113 105 92 0.672470 0.9910 NonOverlappingTemplate 106 108 94 87 91 101 100 104 94 115 0.674543 0.9880 NonOverlappingTemplate 92 104 102 92 103 111 91 102 105 98 0.916599 0.9890 NonOverlappingTemplate 113 111 104 110 103 105 102 78 87 87 0.178604 0.9850 NonOverlappingTemplate 98 109 109 82 94 108 104 91 116 89 0.301194 0.9980 NonOverlappingTemplate 79 97 129 114 99 92 98 94 99 99 0.068145 0.9860 NonOverlappingTemplate 107 100 109 115 105 92 94 96 85 97 0.605916 0.9900 NonOverlappingTemplate 101 95 97 103 97 100 99 92 115 101 0.944274 0.9870 NonOverlappingTemplate 103 93 94 104 104 98 115 94 106 89 0.790621 0.9890 NonOverlappingTemplate 93 105 112 97 100 107 94 115 89 88 0.532132 0.9940 NonOverlappingTemplate 92 101 103 107 112 101 97 98 96 93 0.943242 0.9980 NonOverlappingTemplate 90 123 94 86 105 105 110 105 94 88 0.204439 0.9930 NonOverlappingTemplate 93 81 106 97 111 105 84 122 107 94 0.113372 0.9860 NonOverlappingTemplate 92 89 103 98 102 102 105 94 117 98 0.779188 0.9950 NonOverlappingTemplate 95 92 90 94 114 103 99 102 117 94 0.574903 0.9890 NonOverlappingTemplate 86 95 115 117 98 110 109 91 104 75 0.058612 0.9870 NonOverlappingTemplate 97 100 100 92 110 111 104 98 99 89 0.886162 0.9930 NonOverlappingTemplate 92 106 108 105 109 111 89 100 89 91 0.622546 0.9900 NonOverlappingTemplate 100 103 114 103 97 93 90 108 95 97 0.859637 0.9860 NonOverlappingTemplate 98 103 85 103 96 97 109 104 97 108 0.881662 0.9880 NonOverlappingTemplate 108 89 95 102 99 101 108 94 94 110 0.873987 0.9880 NonOverlappingTemplate 101 84 95 107 96 112 98 111 93 103 0.664168 0.9920 NonOverlappingTemplate 96 92 100 107 103 109 89 107 97 100 0.912724 0.9900 NonOverlappingTemplate 100 111 97 97 101 100 94 89 107 104 0.934599 0.9920 NonOverlappingTemplate 99 103 94 88 94 109 99 106 95 113 0.800005 0.9890 NonOverlappingTemplate 103 111 123 82 92 103 102 86 94 104 0.159020 0.9910 NonOverlappingTemplate 89 93 97 100 105 87 99 92 104 134 0.064822 0.9950 NonOverlappingTemplate 104 122 85 98 108 93 94 115 89 92 0.168112 0.9890 NonOverlappingTemplate 98 104 103 94 101 113 95 96 109 87 0.811080 0.9950 NonOverlappingTemplate 96 103 101 95 103 100 108 100 110 84 0.851383 0.9860 NonOverlappingTemplate 99 103 84 94 92 101 102 105 102 118 0.612147 0.9920 NonOverlappingTemplate 108 83 121 82 88 113 103 118 94 90 0.025193 0.9950 NonOverlappingTemplate 94 93 109 95 88 107 109 109 98 98 0.784927 0.9950 NonOverlappingTemplate 94 100 101 120 111 97 78 99 101 99 0.308561 0.9920 NonOverlappingTemplate 107 107 115 102 99 86 93 104 95 92 0.660012 0.9880 NonOverlappingTemplate 115 97 108 112 101 103 84 94 93 93 0.492436 0.9890 NonOverlappingTemplate 93 119 101 78 103 116 95 80 99 116 0.030602 0.9890 NonOverlappingTemplate 109 90 106 95 101 94 104 101 103 97 0.958485 0.9920 NonOverlappingTemplate 103 99 107 100 101 90 86 120 93 101 0.528111 0.9910 NonOverlappingTemplate 96 102 115 97 85 98 96 99 100 112 0.695200 0.9940 NonOverlappingTemplate 94 112 99 108 89 112 114 78 99 95 0.204439 0.9950 NonOverlappingTemplate 106 99 93 102 93 94 108 109 91 105 0.893482 0.9880 NonOverlappingTemplate 108 110 109 92 100 92 116 101 84 88 0.326749 0.9880 NonOverlappingTemplate 85 86 103 110 107 101 119 104 94 91 0.293952 0.9910 NonOverlappingTemplate 113 115 91 102 94 103 85 81 113 103 0.168112 0.9920 NonOverlappingTemplate 89 102 97 106 92 91 110 98 112 103 0.767582 0.9950 NonOverlappingTemplate 86 101 94 109 95 90 99 124 103 99 0.329850 0.9930 NonOverlappingTemplate 98 90 105 101 109 97 106 101 103 90 0.932333 0.9920 NonOverlappingTemplate 107 97 97 99 100 101 109 102 92 96 0.984881 0.9900 NonOverlappingTemplate 102 106 105 111 93 95 101 98 102 87 0.884671 0.9940 NonOverlappingTemplate 108 104 89 112 120 97 79 102 98 91 0.169981 0.9890 NonOverlappingTemplate 98 99 97 109 97 89 102 100 108 101 0.966626 0.9870 NonOverlappingTemplate 87 118 98 99 106 100 81 102 111 98 0.331408 0.9880 NonOverlappingTemplate 85 101 107 80 100 109 93 112 99 114 0.245490 0.9930 NonOverlappingTemplate 86 101 125 80 99 100 116 98 85 110 0.034257 0.9920 NonOverlappingTemplate 94 110 103 109 99 101 97 95 89 103 0.916599 0.9870 NonOverlappingTemplate 111 100 79 112 92 104 98 105 106 93 0.437274 0.9880 NonOverlappingTemplate 96 99 111 106 87 114 82 105 117 83 0.100709 0.9930 NonOverlappingTemplate 91 102 109 115 132 93 90 84 93 91 0.021262 0.9950 NonOverlappingTemplate 118 115 85 101 93 84 101 104 99 100 0.277082 0.9900 NonOverlappingTemplate 105 101 89 111 117 81 109 93 106 88 0.197981 0.9890 NonOverlappingTemplate 108 102 107 113 89 102 86 91 93 109 0.516113 0.9950 NonOverlappingTemplate 97 106 96 114 83 108 97 89 95 115 0.358641 0.9860 OverlappingTemplate 98 121 93 116 92 104 103 113 69 91 0.015065 0.9890 Universal 119 95 99 109 103 91 87 93 105 99 0.532132 0.9830 ApproximateEntropy 71 62 54 58 59 62 71 61 67 50 0.647360 0.9870 RandomExcursions 54 67 60 62 46 73 64 63 56 70 0.398895 0.9935 RandomExcursions 52 55 54 70 71 57 79 51 57 69 0.114944 0.9967 RandomExcursions 60 59 57 67 86 59 60 46 64 57 0.081494 0.9935 RandomExcursions 58 68 66 53 55 68 64 65 62 56 0.864547 0.9886 RandomExcursions 70 70 56 69 59 51 70 52 67 51 0.296479 0.9886 RandomExcursions 57 68 59 56 65 67 75 54 53 61 0.589443 0.9967 RandomExcursions 69 66 45 51 58 65 77 70 57 57 0.131345 0.9870 RandomExcursions 57 74 52 61 59 60 72 73 50 57 0.273468 0.9886 RandomExcursionsVariant 57 67 60 53 64 77 61 57 51 68 0.440306 0.9919 RandomExcursionsVariant 60 62 55 62 55 73 53 64 67 64 0.786394 0.9919 RandomExcursionsVariant 64 55 64 53 67 63 59 68 66 56 0.892131 0.9951 RandomExcursionsVariant 64 61 55 57 62 62 73 57 67 57 0.874904 0.9919 RandomExcursionsVariant 67 57 55 57 60 60 62 69 55 73 0.764255 0.9902 RandomExcursionsVariant 75 49 47 67 64 58 68 59 65 63 0.284806 0.9984 RandomExcursionsVariant 51 66 60 62 66 64 68 63 66 49 0.711734 0.9984 RandomExcursionsVariant 58 53 75 64 60 64 68 67 56 50 0.483851 0.9951 RandomExcursionsVariant 59 58 59 67 50 63 60 67 59 73 0.744830 0.9886 RandomExcursionsVariant 56 54 63 72 56 61 77 63 65 48 0.277963 0.9902 RandomExcursionsVariant 66 61 54 57 59 78 62 46 58 74 0.167108 0.9886 RandomExcursionsVariant 61 76 62 59 54 51 55 61 65 71 0.464947 0.9837 RandomExcursionsVariant 58 63 73 65 57 48 63 63 64 61 0.725066 0.9886 RandomExcursionsVariant 61 59 60 57 72 66 64 60 64 52 0.884892 0.9870 RandomExcursionsVariant 66 49 49 69 73 60 70 71 53 55 0.155328 0.9935 RandomExcursionsVariant 56 67 54 58 59 79 59 67 62 54 0.455628 0.9902 RandomExcursionsVariant 59 53 74 62 53 69 63 62 60 60 0.728381 0.9902 RandomExcursionsVariant 99 78 92 108 111 93 119 102 108 90 0.157251 0.9870 Serial 96 88 99 88 85 116 114 115 92 107 0.153763 0.9860 Serial 102 98 100 89 113 82 99 122 100 95 0.254411 0.9910 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 0.979568 for a sample size = 615 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -