------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 111 105 91 111 107 99 93 84 88 111 0.377007 0.9890 Frequency 112 95 117 104 97 98 96 96 97 88 0.666245 0.9770 * BlockFrequency 99 111 85 111 105 93 104 102 90 100 0.676615 0.9930 CumulativeSums 104 113 109 110 89 101 89 95 109 81 0.292519 0.9910 CumulativeSums 103 99 105 89 93 94 106 97 119 95 0.666245 0.9880 Runs 92 94 98 86 103 108 100 113 104 102 0.777265 0.9890 LongestRun 96 119 105 81 93 107 99 105 99 96 0.433590 0.9870 Rank 106 110 103 99 96 88 111 98 92 97 0.830808 0.9920 FFT 86 102 95 93 102 96 107 117 112 90 0.459717 0.9940 NonOverlappingTemplate 91 110 105 113 109 95 91 92 100 94 0.676615 0.9910 NonOverlappingTemplate 94 106 93 100 100 98 103 103 105 98 0.995162 0.9920 NonOverlappingTemplate 108 120 101 84 84 84 111 102 106 100 0.124476 0.9920 NonOverlappingTemplate 96 92 109 104 96 90 123 107 80 103 0.171867 0.9930 NonOverlappingTemplate 109 99 104 111 93 111 95 81 101 96 0.542228 0.9920 NonOverlappingTemplate 95 113 100 99 103 83 89 110 92 116 0.323668 0.9890 NonOverlappingTemplate 87 87 103 107 88 95 111 106 107 109 0.482707 0.9900 NonOverlappingTemplate 98 107 92 91 103 96 113 97 89 114 0.618385 0.9850 NonOverlappingTemplate 103 93 85 96 102 92 111 112 113 93 0.484646 0.9910 NonOverlappingTemplate 85 111 106 97 87 102 99 106 103 104 0.713641 0.9920 NonOverlappingTemplate 103 100 95 99 101 90 83 98 117 114 0.424453 0.9910 NonOverlappingTemplate 93 108 93 96 106 103 98 101 94 108 0.952152 0.9910 NonOverlappingTemplate 109 96 120 93 93 89 105 94 104 97 0.532132 0.9930 NonOverlappingTemplate 99 100 100 90 116 105 107 95 92 96 0.801865 0.9900 NonOverlappingTemplate 94 98 105 111 97 105 108 104 89 89 0.796268 0.9870 NonOverlappingTemplate 108 106 93 91 102 102 103 84 110 101 0.735908 0.9870 NonOverlappingTemplate 106 105 96 100 101 84 101 100 108 99 0.911413 0.9870 NonOverlappingTemplate 100 108 93 109 113 91 84 93 105 104 0.544254 0.9930 NonOverlappingTemplate 98 98 106 92 108 98 90 103 95 112 0.872425 0.9890 NonOverlappingTemplate 115 92 109 104 84 101 117 90 88 100 0.227180 0.9850 NonOverlappingTemplate 88 109 92 112 105 86 95 122 103 88 0.155499 0.9910 NonOverlappingTemplate 97 119 90 81 97 96 105 106 90 119 0.130369 0.9890 NonOverlappingTemplate 92 98 96 91 121 108 103 96 90 105 0.514124 0.9900 NonOverlappingTemplate 100 109 104 110 95 91 104 102 94 91 0.883171 0.9950 NonOverlappingTemplate 104 94 96 95 113 121 94 105 87 91 0.339271 0.9920 NonOverlappingTemplate 108 101 102 88 94 109 99 100 99 100 0.950247 0.9950 NonOverlappingTemplate 93 98 97 105 99 107 111 94 112 84 0.643366 0.9900 NonOverlappingTemplate 98 119 99 99 85 103 87 90 101 119 0.195864 0.9960 NonOverlappingTemplate 118 105 106 89 103 94 100 105 85 95 0.508172 0.9840 NonOverlappingTemplate 111 88 95 111 100 90 108 89 107 101 0.589341 0.9900 NonOverlappingTemplate 110 105 98 94 119 84 85 93 103 109 0.245490 0.9900 NonOverlappingTemplate 76 99 106 97 85 135 112 112 91 87 0.001967 0.9900 NonOverlappingTemplate 100 99 103 85 94 98 104 113 100 104 0.854708 0.9840 NonOverlappingTemplate 82 107 95 114 115 84 110 91 97 105 0.167184 0.9910 NonOverlappingTemplate 101 108 94 93 109 100 115 97 88 95 0.705466 0.9880 NonOverlappingTemplate 85 104 89 99 94 108 102 98 96 125 0.267573 0.9900 NonOverlappingTemplate 99 110 85 109 83 118 111 95 93 97 0.200115 0.9930 NonOverlappingTemplate 104 92 107 111 94 103 110 107 90 82 0.467322 0.9900 NonOverlappingTemplate 93 92 92 113 88 93 98 100 105 126 0.189625 0.9880 NonOverlappingTemplate 114 105 91 91 91 114 108 88 95 103 0.435430 0.9870 NonOverlappingTemplate 103 91 95 114 98 99 122 101 88 89 0.299736 0.9870 NonOverlappingTemplate 89 93 107 113 102 99 91 99 93 114 0.616305 0.9910 NonOverlappingTemplate 102 101 110 97 99 117 93 95 91 95 0.755819 0.9880 NonOverlappingTemplate 96 105 112 94 94 94 109 92 87 117 0.440975 0.9890 NonOverlappingTemplate 104 108 86 107 103 102 105 102 80 103 0.558502 0.9860 NonOverlappingTemplate 105 91 100 112 102 111 98 97 85 99 0.725829 0.9920 NonOverlappingTemplate 108 108 78 107 108 89 96 103 97 106 0.422638 0.9870 NonOverlappingTemplate 112 95 98 91 88 102 108 100 103 103 0.848027 0.9840 NonOverlappingTemplate 96 94 114 85 93 116 100 95 90 117 0.217857 0.9890 NonOverlappingTemplate 109 86 104 83 95 114 98 88 110 113 0.202268 0.9840 NonOverlappingTemplate 128 103 103 99 82 87 121 86 95 96 0.019587 0.9890 NonOverlappingTemplate 109 92 105 111 89 99 90 102 99 104 0.803720 0.9910 NonOverlappingTemplate 82 107 112 97 108 102 111 98 78 105 0.197981 0.9950 NonOverlappingTemplate 91 110 103 102 86 102 104 98 113 91 0.674543 0.9920 NonOverlappingTemplate 81 102 100 76 115 119 86 105 99 117 0.015707 0.9900 NonOverlappingTemplate 89 87 106 99 84 108 112 108 102 105 0.452173 0.9900 NonOverlappingTemplate 102 105 107 91 96 105 97 106 90 101 0.943242 0.9870 NonOverlappingTemplate 98 100 110 99 91 90 96 116 121 79 0.108791 0.9890 NonOverlappingTemplate 98 101 95 91 102 91 113 97 101 111 0.837781 0.9920 NonOverlappingTemplate 100 102 94 102 102 95 95 93 105 112 0.957612 0.9940 NonOverlappingTemplate 97 98 92 98 109 121 102 97 89 97 0.589341 0.9930 NonOverlappingTemplate 107 97 108 88 111 97 117 89 83 103 0.272977 0.9850 NonOverlappingTemplate 95 95 95 84 112 103 112 117 87 100 0.285427 0.9930 NonOverlappingTemplate 90 105 98 89 103 94 102 95 122 102 0.522100 0.9930 NonOverlappingTemplate 85 95 102 113 101 109 99 93 107 96 0.719747 1.0000 * NonOverlappingTemplate 84 110 99 104 79 118 100 93 122 91 0.041169 0.9920 NonOverlappingTemplate 100 99 113 111 90 94 106 86 82 119 0.143686 0.9860 NonOverlappingTemplate 105 92 97 111 103 94 113 98 83 104 0.593478 0.9920 NonOverlappingTemplate 99 108 113 107 108 104 105 87 91 78 0.260930 0.9880 NonOverlappingTemplate 86 91 90 119 97 113 110 90 79 125 0.009467 0.9860 NonOverlappingTemplate 108 88 90 104 95 109 98 102 109 97 0.809249 0.9900 NonOverlappingTemplate 111 94 93 107 81 109 98 106 113 88 0.311542 0.9900 NonOverlappingTemplate 101 86 96 118 102 129 80 91 96 101 0.026948 0.9840 NonOverlappingTemplate 87 101 95 93 102 97 106 117 112 90 0.508172 0.9940 NonOverlappingTemplate 91 103 94 103 90 111 82 102 109 115 0.358641 0.9930 NonOverlappingTemplate 103 96 108 122 98 91 100 94 99 89 0.518106 0.9920 NonOverlappingTemplate 80 102 100 107 122 109 101 102 87 90 0.166260 0.9950 NonOverlappingTemplate 97 119 95 98 88 106 99 93 114 91 0.431754 0.9870 NonOverlappingTemplate 82 96 101 86 111 115 112 100 95 102 0.307077 0.9920 NonOverlappingTemplate 93 115 94 101 107 99 111 91 96 93 0.711601 0.9920 NonOverlappingTemplate 87 103 119 90 108 85 100 106 93 109 0.279844 0.9890 NonOverlappingTemplate 104 94 92 98 105 97 105 120 88 97 0.603841 0.9900 NonOverlappingTemplate 119 98 95 98 113 106 105 75 106 85 0.088226 0.9800 * NonOverlappingTemplate 81 96 102 87 111 96 98 104 108 117 0.304126 0.9850 NonOverlappingTemplate 115 86 95 89 104 105 100 101 110 95 0.601766 0.9870 NonOverlappingTemplate 99 100 119 98 97 91 114 94 96 92 0.566688 0.9860 NonOverlappingTemplate 91 102 100 112 104 109 101 95 86 100 0.790621 0.9960 NonOverlappingTemplate 87 96 105 127 102 94 104 94 102 89 0.239266 0.9950 NonOverlappingTemplate 98 117 99 90 109 105 87 95 95 105 0.591409 0.9870 NonOverlappingTemplate 110 90 93 97 92 106 111 99 107 95 0.784927 0.9890 NonOverlappingTemplate 118 84 105 116 86 80 91 107 104 109 0.051281 0.9880 NonOverlappingTemplate 92 109 90 101 100 121 97 99 95 96 0.597620 0.9940 NonOverlappingTemplate 111 91 96 96 111 95 99 104 94 103 0.881662 0.9900 NonOverlappingTemplate 125 91 103 98 96 94 107 96 114 76 0.065230 0.9870 NonOverlappingTemplate 102 91 103 94 99 105 106 108 96 96 0.968863 0.9910 NonOverlappingTemplate 100 101 100 97 91 91 103 118 111 88 0.564639 0.9950 NonOverlappingTemplate 97 78 97 135 87 82 114 88 104 118 0.000648 0.9880 NonOverlappingTemplate 94 92 89 111 119 97 99 91 108 100 0.476911 0.9880 NonOverlappingTemplate 105 91 95 100 113 123 103 88 97 85 0.204439 0.9890 NonOverlappingTemplate 93 90 105 102 92 113 117 87 112 89 0.253122 0.9900 NonOverlappingTemplate 106 102 107 105 98 112 91 81 109 89 0.431754 0.9900 NonOverlappingTemplate 92 93 95 110 113 90 106 95 108 98 0.703417 0.9930 NonOverlappingTemplate 96 104 97 96 114 95 117 104 89 88 0.486588 0.9890 NonOverlappingTemplate 96 102 103 84 94 88 108 113 101 111 0.514124 0.9920 NonOverlappingTemplate 121 98 105 87 119 102 87 106 81 94 0.065639 0.9870 NonOverlappingTemplate 114 86 98 103 114 84 94 93 103 111 0.295391 0.9930 NonOverlappingTemplate 102 95 90 111 101 97 93 107 105 99 0.921624 0.9940 NonOverlappingTemplate 105 106 101 91 100 102 117 96 90 92 0.723804 0.9920 NonOverlappingTemplate 89 96 97 116 104 100 94 96 99 109 0.786830 0.9970 NonOverlappingTemplate 84 103 94 107 100 97 100 110 105 100 0.848027 0.9960 NonOverlappingTemplate 101 95 89 104 110 111 94 102 100 94 0.867692 0.9930 NonOverlappingTemplate 90 81 103 98 104 115 99 110 95 105 0.469232 0.9890 NonOverlappingTemplate 114 91 97 88 98 110 91 104 94 113 0.498313 0.9870 NonOverlappingTemplate 113 91 97 101 99 94 97 99 106 103 0.940080 0.9900 NonOverlappingTemplate 87 118 112 80 95 91 107 96 101 113 0.130369 0.9880 NonOverlappingTemplate 112 101 101 93 94 112 96 91 110 90 0.666245 0.9890 NonOverlappingTemplate 125 114 111 85 85 108 96 86 96 94 0.045675 0.9900 NonOverlappingTemplate 88 99 96 118 108 96 84 102 107 102 0.457825 0.9900 NonOverlappingTemplate 99 106 88 105 93 100 104 102 103 100 0.970302 0.9910 NonOverlappingTemplate 89 116 110 99 104 94 100 93 94 101 0.723804 0.9850 NonOverlappingTemplate 114 94 114 104 99 83 90 92 104 106 0.392456 0.9910 NonOverlappingTemplate 112 98 105 97 101 89 90 105 97 106 0.856359 0.9890 NonOverlappingTemplate 95 111 106 108 90 98 95 104 110 83 0.554420 0.9870 NonOverlappingTemplate 94 101 109 104 97 109 109 97 96 84 0.753844 0.9890 NonOverlappingTemplate 101 120 87 99 85 96 105 100 102 105 0.469232 0.9900 NonOverlappingTemplate 99 103 102 94 90 103 97 121 102 89 0.601766 0.9860 NonOverlappingTemplate 114 95 101 101 87 94 96 94 112 106 0.678686 0.9910 NonOverlappingTemplate 95 103 99 96 105 109 97 97 103 96 0.991468 0.9940 NonOverlappingTemplate 96 91 107 99 122 100 91 104 91 99 0.524101 0.9880 NonOverlappingTemplate 99 113 98 93 99 104 113 90 84 107 0.520102 0.9910 NonOverlappingTemplate 94 115 105 111 95 92 101 92 100 95 0.753844 0.9880 NonOverlappingTemplate 92 103 102 122 105 91 101 92 98 94 0.562591 0.9920 NonOverlappingTemplate 103 109 106 86 103 103 104 98 97 91 0.875539 0.9890 NonOverlappingTemplate 97 98 109 109 102 101 97 103 88 96 0.936823 0.9910 NonOverlappingTemplate 108 114 98 96 102 99 102 92 89 100 0.856359 0.9890 NonOverlappingTemplate 106 86 110 96 95 98 102 101 95 111 0.809249 0.9910 NonOverlappingTemplate 98 101 107 100 99 83 115 106 88 103 0.576961 0.9910 NonOverlappingTemplate 94 96 103 104 103 106 112 98 99 85 0.837781 0.9890 NonOverlappingTemplate 97 104 95 93 115 100 96 90 96 114 0.686955 0.9930 NonOverlappingTemplate 108 111 109 96 94 90 110 103 87 92 0.574903 0.9940 NonOverlappingTemplate 98 108 114 106 99 101 98 85 98 93 0.755819 0.9870 NonOverlappingTemplate 101 108 95 104 102 98 101 87 95 109 0.917870 0.9900 NonOverlappingTemplate 96 110 96 96 108 99 110 84 100 101 0.769527 0.9920 NonOverlappingTemplate 100 106 111 100 109 91 99 92 98 94 0.894918 0.9890 NonOverlappingTemplate 88 113 100 90 97 115 102 96 95 104 0.628790 0.9940 NonOverlappingTemplate 119 104 109 89 94 106 93 100 79 107 0.219006 0.9870 NonOverlappingTemplate 101 87 95 118 100 130 80 92 96 101 0.025193 0.9840 NonOverlappingTemplate 104 86 116 100 97 117 94 106 91 89 0.319084 0.9930 OverlappingTemplate 108 100 113 103 94 96 87 94 108 97 0.767582 0.9880 Universal 107 94 114 109 88 83 112 107 92 94 0.284024 0.9950 ApproximateEntropy 63 66 59 58 67 62 59 56 63 62 0.993592 0.9902 RandomExcursions 54 59 68 60 66 51 58 54 70 75 0.416364 0.9886 RandomExcursions 71 57 57 59 62 62 57 54 64 72 0.792601 0.9902 RandomExcursions 72 79 60 60 63 53 56 52 48 72 0.092753 0.9886 RandomExcursions 58 71 70 53 60 62 54 62 60 65 0.807864 0.9886 RandomExcursions 55 72 67 65 66 61 60 64 48 57 0.633706 0.9935 RandomExcursions 67 67 62 60 57 68 58 54 64 58 0.939834 0.9854 RandomExcursions 64 67 60 55 62 61 63 75 56 52 0.701669 0.9886 RandomExcursions 63 61 67 46 57 69 78 63 61 50 0.189490 0.9919 RandomExcursionsVariant 66 64 55 53 46 71 82 57 64 57 0.079874 0.9902 RandomExcursionsVariant 64 56 64 50 73 47 70 65 56 70 0.237412 0.9854 RandomExcursionsVariant 58 59 69 49 55 78 70 53 57 67 0.203333 0.9854 RandomExcursionsVariant 62 56 65 67 53 58 57 67 68 62 0.901436 0.9919 RandomExcursionsVariant 60 72 53 57 50 63 74 60 63 63 0.506324 0.9919 RandomExcursionsVariant 58 63 68 70 57 54 62 62 59 62 0.939834 0.9886 RandomExcursionsVariant 61 69 60 65 52 70 69 58 42 69 0.205119 0.9902 RandomExcursionsVariant 62 60 58 65 70 48 73 55 63 61 0.579291 0.9870 RandomExcursionsVariant 72 55 62 58 61 74 45 57 62 69 0.273468 0.9919 RandomExcursionsVariant 62 65 53 55 66 64 66 56 67 61 0.918802 0.9886 RandomExcursionsVariant 67 64 57 50 64 59 58 50 78 68 0.284806 0.9821 RandomExcursionsVariant 61 59 52 68 71 59 67 57 60 61 0.853839 0.9854 RandomExcursionsVariant 53 58 64 61 68 70 56 54 64 67 0.795684 0.9935 RandomExcursionsVariant 61 54 47 77 65 56 81 58 52 64 0.047699 0.9951 RandomExcursionsVariant 63 52 57 75 57 68 67 66 60 50 0.443349 0.9902 RandomExcursionsVariant 55 56 59 72 66 74 73 48 58 54 0.196314 0.9919 RandomExcursionsVariant 58 50 63 64 75 64 78 56 48 59 0.133844 0.9919 RandomExcursionsVariant 107 96 81 122 93 96 111 107 99 88 0.167184 0.9920 Serial 106 102 93 96 108 86 130 99 82 98 0.068145 0.9910 Serial 105 120 106 102 103 93 106 87 95 83 0.317565 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 0.979568 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. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -