------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 79 92 85 108 90 103 113 98 107 125 0.041438 0.9860 Frequency 108 104 88 100 114 88 101 96 93 108 0.643366 0.9830 BlockFrequency 87 88 90 79 103 101 115 125 97 115 0.021407 0.9780 * CumulativeSums 81 80 88 106 112 99 109 106 109 110 0.128132 0.9800 * CumulativeSums 87 104 108 91 126 84 84 101 101 114 0.046269 0.9910 Runs 103 100 104 95 95 89 107 91 105 111 0.858002 0.9920 LongestRun 108 93 104 105 98 91 90 115 90 106 0.637119 0.9840 Rank 115 114 90 95 103 107 105 107 94 70 0.064015 0.9850 FFT 91 87 104 100 97 102 94 120 101 104 0.603841 0.9910 NonOverlappingTemplate 101 92 93 95 108 104 108 96 96 107 0.933472 0.9910 NonOverlappingTemplate 112 94 102 107 105 88 95 85 117 95 0.378705 0.9910 NonOverlappingTemplate 98 91 100 100 97 118 87 106 102 101 0.711601 0.9960 NonOverlappingTemplate 106 104 96 98 115 90 97 109 93 92 0.739918 0.9930 NonOverlappingTemplate 111 112 93 106 104 86 106 105 93 84 0.411840 0.9870 NonOverlappingTemplate 105 104 95 115 97 89 80 116 101 98 0.288249 0.9890 NonOverlappingTemplate 113 85 102 89 104 119 89 91 100 108 0.235589 0.9900 NonOverlappingTemplate 112 93 99 103 108 90 86 98 112 99 0.624627 0.9880 NonOverlappingTemplate 113 96 100 111 115 94 98 79 100 94 0.313041 0.9880 NonOverlappingTemplate 107 106 95 101 104 114 101 95 82 95 0.639202 0.9930 NonOverlappingTemplate 110 98 81 109 94 88 104 93 113 110 0.304126 0.9910 NonOverlappingTemplate 110 85 100 101 101 105 106 95 96 101 0.890582 0.9830 NonOverlappingTemplate 97 101 98 107 86 98 91 96 125 101 0.361938 0.9890 NonOverlappingTemplate 90 95 104 88 110 105 112 108 96 92 0.639202 0.9890 NonOverlappingTemplate 106 91 108 81 109 114 92 105 89 105 0.308561 0.9860 NonOverlappingTemplate 99 109 101 98 99 97 100 103 94 100 0.997698 0.9890 NonOverlappingTemplate 87 112 124 89 97 100 92 92 99 108 0.206629 0.9910 NonOverlappingTemplate 103 99 99 93 103 103 98 113 87 102 0.894918 0.9890 NonOverlappingTemplate 111 87 92 101 101 103 95 105 94 111 0.767582 0.9870 NonOverlappingTemplate 99 112 95 98 97 102 87 109 114 87 0.532132 0.9920 NonOverlappingTemplate 119 94 94 92 99 99 101 90 105 107 0.664168 0.9790 * NonOverlappingTemplate 109 94 99 98 95 112 100 106 90 97 0.886162 0.9860 NonOverlappingTemplate 83 104 104 106 83 110 95 104 118 93 0.236810 0.9820 NonOverlappingTemplate 79 96 120 100 89 107 106 104 100 99 0.289667 0.9960 NonOverlappingTemplate 84 93 125 106 101 99 102 95 110 85 0.152902 0.9920 NonOverlappingTemplate 83 98 103 99 91 106 103 112 103 102 0.753844 0.9920 NonOverlappingTemplate 92 100 107 107 92 119 105 106 86 86 0.319084 0.9900 NonOverlappingTemplate 102 105 107 97 98 99 96 99 98 99 0.999041 0.9920 NonOverlappingTemplate 104 76 88 99 109 115 96 98 110 105 0.220159 0.9890 NonOverlappingTemplate 85 119 96 113 122 91 98 85 81 110 0.016374 0.9950 NonOverlappingTemplate 120 96 96 99 89 106 83 113 96 102 0.298282 0.9900 NonOverlappingTemplate 106 108 95 94 92 98 97 98 110 102 0.943242 0.9890 NonOverlappingTemplate 107 97 104 94 112 85 108 90 102 101 0.691081 0.9890 NonOverlappingTemplate 115 113 92 96 77 86 104 107 106 104 0.155499 0.9840 NonOverlappingTemplate 104 106 104 94 105 103 90 112 93 89 0.786830 0.9920 NonOverlappingTemplate 99 92 111 113 78 88 106 102 107 104 0.284024 0.9830 NonOverlappingTemplate 102 84 102 95 84 103 124 105 100 101 0.239266 0.9920 NonOverlappingTemplate 104 109 102 80 102 85 99 98 114 107 0.366918 0.9960 NonOverlappingTemplate 93 110 102 131 99 99 94 86 87 99 0.086109 0.9890 NonOverlappingTemplate 109 99 103 86 88 95 109 112 101 98 0.651693 0.9890 NonOverlappingTemplate 113 107 108 101 98 94 106 85 88 100 0.607993 0.9830 NonOverlappingTemplate 106 104 101 102 117 101 98 72 101 98 0.249284 0.9910 NonOverlappingTemplate 92 101 76 91 119 121 114 95 86 105 0.020131 0.9890 NonOverlappingTemplate 97 105 97 87 107 101 121 115 90 80 0.112708 0.9880 NonOverlappingTemplate 98 108 99 95 98 104 97 88 120 93 0.620465 0.9900 NonOverlappingTemplate 109 106 97 99 107 108 85 90 100 99 0.773405 0.9860 NonOverlappingTemplate 103 107 97 89 103 96 100 101 96 108 0.966626 0.9900 NonOverlappingTemplate 97 90 103 118 82 91 93 108 108 110 0.259616 0.9930 NonOverlappingTemplate 95 80 100 107 99 106 110 103 93 107 0.618385 0.9930 NonOverlappingTemplate 103 114 104 83 101 99 109 102 96 89 0.601766 0.9880 NonOverlappingTemplate 99 88 99 111 86 107 105 95 97 113 0.595549 0.9930 NonOverlappingTemplate 91 126 95 88 99 109 98 105 99 90 0.250558 0.9870 NonOverlappingTemplate 108 99 113 104 92 105 86 87 102 104 0.612147 0.9910 NonOverlappingTemplate 87 90 111 91 110 98 96 114 93 110 0.404728 0.9910 NonOverlappingTemplate 88 103 98 98 107 106 108 111 95 86 0.686955 0.9910 NonOverlappingTemplate 98 92 106 92 88 102 102 113 88 119 0.355364 0.9910 NonOverlappingTemplate 108 101 101 93 98 97 94 105 98 105 0.988291 0.9810 * NonOverlappingTemplate 109 111 99 96 103 87 101 99 98 97 0.903338 0.9870 NonOverlappingTemplate 93 113 104 89 85 110 102 103 103 98 0.630872 0.9960 NonOverlappingTemplate 111 101 110 93 108 116 85 85 102 89 0.233162 0.9870 NonOverlappingTemplate 89 86 100 113 95 88 112 106 105 106 0.440975 0.9940 NonOverlappingTemplate 83 89 117 101 109 103 97 94 108 99 0.437274 0.9890 NonOverlappingTemplate 107 118 106 86 101 109 93 100 89 91 0.402962 0.9930 NonOverlappingTemplate 89 120 88 113 103 92 93 92 109 101 0.274341 0.9960 NonOverlappingTemplate 117 94 84 98 113 92 91 102 94 115 0.234373 0.9870 NonOverlappingTemplate 118 102 101 88 100 91 114 91 93 102 0.452173 0.9890 NonOverlappingTemplate 101 116 113 109 104 104 93 98 74 88 0.118120 0.9880 NonOverlappingTemplate 103 86 103 103 105 120 96 102 87 95 0.473064 0.9980 NonOverlappingTemplate 105 105 105 97 101 87 99 110 106 85 0.723804 0.9930 NonOverlappingTemplate 114 89 103 105 104 124 85 80 102 94 0.065230 0.9890 NonOverlappingTemplate 115 94 89 97 94 92 95 106 110 108 0.620465 0.9890 NonOverlappingTemplate 104 98 118 117 110 87 92 73 112 89 0.020548 0.9850 NonOverlappingTemplate 96 106 107 98 80 107 93 98 109 106 0.612147 0.9910 NonOverlappingTemplate 91 87 105 100 96 103 93 119 102 104 0.605916 0.9920 NonOverlappingTemplate 98 99 109 108 103 90 103 89 106 95 0.875539 0.9900 NonOverlappingTemplate 104 81 115 107 100 91 120 97 96 89 0.172816 0.9900 NonOverlappingTemplate 105 108 90 95 117 98 103 95 100 89 0.676615 0.9890 NonOverlappingTemplate 120 113 109 87 107 92 98 87 86 101 0.161703 0.9910 NonOverlappingTemplate 95 94 107 106 101 107 90 100 106 94 0.931185 0.9920 NonOverlappingTemplate 96 104 94 96 105 100 104 95 88 118 0.721777 0.9940 NonOverlappingTemplate 97 92 102 104 106 119 78 101 101 100 0.370262 0.9920 NonOverlappingTemplate 98 95 113 104 113 107 96 93 95 86 0.618385 0.9890 NonOverlappingTemplate 96 106 91 93 107 100 101 111 113 82 0.488534 0.9930 NonOverlappingTemplate 97 91 112 109 92 94 99 104 95 107 0.829047 0.9860 NonOverlappingTemplate 97 113 90 110 90 91 92 109 114 94 0.404728 0.9890 NonOverlappingTemplate 91 103 84 97 111 106 104 92 99 113 0.572847 0.9910 NonOverlappingTemplate 95 104 90 108 106 100 105 90 110 92 0.807412 0.9890 NonOverlappingTemplate 91 100 103 112 108 95 94 86 109 102 0.699313 0.9960 NonOverlappingTemplate 109 91 113 97 89 110 105 108 80 98 0.308561 0.9900 NonOverlappingTemplate 123 109 92 92 104 94 103 96 93 94 0.437274 0.9920 NonOverlappingTemplate 94 107 96 105 105 104 109 89 98 93 0.896345 0.9890 NonOverlappingTemplate 117 103 102 102 95 91 83 104 101 102 0.614226 0.9840 NonOverlappingTemplate 96 74 114 98 87 98 101 111 104 117 0.093157 0.9910 NonOverlappingTemplate 107 95 108 96 104 81 104 90 118 97 0.366918 0.9900 NonOverlappingTemplate 117 108 97 88 99 85 97 109 112 88 0.268917 0.9890 NonOverlappingTemplate 90 101 93 101 109 98 95 109 107 97 0.911413 0.9900 NonOverlappingTemplate 83 113 97 94 98 101 119 93 104 98 0.402962 0.9880 NonOverlappingTemplate 103 100 112 97 108 101 97 96 94 92 0.940080 0.9930 NonOverlappingTemplate 97 87 109 100 99 91 124 81 115 97 0.087692 0.9900 NonOverlappingTemplate 102 100 89 110 102 93 106 107 97 94 0.906069 0.9880 NonOverlappingTemplate 96 99 97 99 106 97 111 105 94 96 0.975012 0.9880 NonOverlappingTemplate 98 106 106 104 106 85 94 92 93 116 0.576961 0.9870 NonOverlappingTemplate 99 95 97 105 113 99 84 98 100 110 0.749884 0.9910 NonOverlappingTemplate 121 107 102 94 96 99 82 103 93 103 0.402962 0.9830 NonOverlappingTemplate 98 102 114 102 86 93 110 88 99 108 0.572847 0.9860 NonOverlappingTemplate 89 95 99 95 97 98 92 120 112 103 0.532132 0.9860 NonOverlappingTemplate 78 88 91 100 93 111 118 97 116 108 0.082513 0.9930 NonOverlappingTemplate 106 104 96 97 83 95 120 116 82 101 0.132640 0.9830 NonOverlappingTemplate 95 97 97 97 108 99 103 108 87 109 0.883171 0.9920 NonOverlappingTemplate 88 116 89 95 95 98 113 104 88 114 0.275709 0.9870 NonOverlappingTemplate 102 87 93 107 100 108 95 104 101 103 0.920383 0.9880 NonOverlappingTemplate 103 116 111 106 103 96 84 97 87 97 0.446556 0.9810 * NonOverlappingTemplate 113 90 113 95 102 91 96 98 96 106 0.719747 0.9920 NonOverlappingTemplate 109 90 122 103 98 77 101 84 112 104 0.062036 0.9860 NonOverlappingTemplate 94 107 108 97 115 91 93 109 86 100 0.544254 0.9910 NonOverlappingTemplate 107 88 88 104 95 116 103 92 98 109 0.542228 0.9930 NonOverlappingTemplate 101 99 91 108 98 91 108 108 100 96 0.926487 0.9920 NonOverlappingTemplate 99 78 116 106 107 94 93 106 96 105 0.360287 0.9910 NonOverlappingTemplate 113 102 89 98 103 104 81 98 108 104 0.566688 0.9920 NonOverlappingTemplate 99 106 96 112 85 99 87 112 102 102 0.591409 0.9850 NonOverlappingTemplate 88 97 92 90 103 108 99 108 109 106 0.767582 0.9910 NonOverlappingTemplate 113 100 99 105 88 89 112 93 108 93 0.568739 0.9840 NonOverlappingTemplate 103 91 106 102 94 105 92 112 103 92 0.858002 0.9930 NonOverlappingTemplate 117 106 102 78 95 107 84 110 87 114 0.065230 0.9830 NonOverlappingTemplate 98 91 102 104 104 101 97 94 102 107 0.987896 0.9910 NonOverlappingTemplate 116 104 99 91 108 100 98 101 92 91 0.771469 0.9830 NonOverlappingTemplate 110 91 89 114 124 93 84 89 96 110 0.063615 0.9880 NonOverlappingTemplate 106 106 103 107 77 105 114 87 101 94 0.285427 0.9820 NonOverlappingTemplate 112 99 92 95 96 99 105 90 114 98 0.763677 0.9880 NonOverlappingTemplate 125 117 87 99 82 91 112 104 89 94 0.034484 0.9890 NonOverlappingTemplate 90 105 102 89 98 95 107 105 93 116 0.680755 0.9880 NonOverlappingTemplate 107 105 113 102 104 89 100 110 76 94 0.278461 0.9930 NonOverlappingTemplate 101 96 105 105 104 97 118 90 94 90 0.686955 0.9870 NonOverlappingTemplate 115 111 101 103 104 92 81 110 104 79 0.139655 0.9860 NonOverlappingTemplate 107 102 104 112 113 93 89 99 86 95 0.560545 0.9910 NonOverlappingTemplate 102 106 94 92 112 96 94 106 92 106 0.858002 0.9890 NonOverlappingTemplate 109 113 89 83 98 108 104 92 105 99 0.500279 0.9880 NonOverlappingTemplate 115 97 121 80 114 88 100 93 102 90 0.073872 0.9880 NonOverlappingTemplate 101 105 105 116 96 97 110 91 108 71 0.116065 0.9960 NonOverlappingTemplate 98 107 110 104 104 101 102 86 100 88 0.807412 0.9900 NonOverlappingTemplate 100 103 95 92 106 112 99 103 92 98 0.937919 0.9880 NonOverlappingTemplate 91 106 107 94 105 96 103 103 110 85 0.753844 0.9930 NonOverlappingTemplate 124 95 100 92 106 88 98 100 91 106 0.378705 0.9940 NonOverlappingTemplate 96 106 100 105 92 105 94 107 88 107 0.880145 0.9930 NonOverlappingTemplate 104 95 104 96 98 98 104 108 97 96 0.993493 0.9930 NonOverlappingTemplate 95 77 116 88 101 120 111 104 90 98 0.067722 0.9950 NonOverlappingTemplate 95 106 108 97 81 107 92 98 110 106 0.587274 0.9910 NonOverlappingTemplate 86 91 129 94 113 102 94 101 88 102 0.087692 0.9890 OverlappingTemplate 117 100 103 96 103 117 101 88 92 83 0.268917 0.9850 Universal 94 95 107 100 103 101 106 79 103 112 0.585209 0.9900 ApproximateEntropy 71 67 56 64 59 66 64 68 63 56 0.932859 0.9921 RandomExcursions 67 65 73 59 55 53 58 75 60 69 0.518233 0.9826 RandomExcursions 60 59 64 73 59 71 57 57 60 74 0.691474 0.9905 RandomExcursions 60 47 54 60 83 61 76 68 69 56 0.057579 0.9905 RandomExcursions 61 54 59 66 58 69 77 64 73 53 0.435810 0.9921 RandomExcursions 48 62 51 81 57 54 79 61 67 74 0.023749 0.9905 RandomExcursions 61 62 50 72 70 56 71 56 68 68 0.515071 0.9953 RandomExcursions 55 57 53 67 66 72 63 65 61 75 0.609047 0.9921 RandomExcursions 53 70 65 67 53 66 72 64 62 62 0.765043 0.9905 RandomExcursionsVariant 55 76 67 61 60 67 61 55 62 70 0.711017 0.9905 RandomExcursionsVariant 59 80 66 50 69 66 57 50 72 65 0.163326 0.9937 RandomExcursionsVariant 53 85 68 64 61 62 46 56 85 54 0.004153 0.9921 RandomExcursionsVariant 61 73 78 58 57 68 63 64 44 68 0.175201 0.9890 RandomExcursionsVariant 62 84 64 68 63 71 51 55 49 67 0.087929 0.9858 RandomExcursionsVariant 72 65 73 79 64 56 60 65 53 47 0.135301 0.9890 RandomExcursionsVariant 74 61 72 68 72 61 48 63 58 57 0.387648 0.9874 RandomExcursionsVariant 57 71 83 61 69 69 59 51 55 59 0.164773 0.9874 RandomExcursionsVariant 65 53 79 67 60 61 69 72 54 54 0.303892 0.9953 RandomExcursionsVariant 59 76 57 68 48 67 61 77 57 64 0.243481 0.9968 RandomExcursionsVariant 73 59 55 60 61 51 64 69 70 72 0.534146 0.9984 RandomExcursionsVariant 73 58 52 65 51 70 65 72 58 70 0.387648 0.9984 RandomExcursionsVariant 66 54 65 65 65 58 72 67 62 60 0.929192 0.9968 RandomExcursionsVariant 59 62 74 72 61 57 56 60 66 67 0.795464 0.9953 RandomExcursionsVariant 63 70 81 63 52 52 63 63 56 71 0.239540 0.9937 RandomExcursionsVariant 65 64 75 67 67 52 57 56 66 65 0.704523 0.9890 RandomExcursionsVariant 58 71 72 54 70 75 57 56 67 54 0.355650 0.9905 RandomExcursionsVariant 95 105 93 93 115 104 74 106 118 97 0.110734 0.9960 Serial 96 81 93 105 114 104 95 99 99 114 0.450297 0.9890 Serial 111 87 91 90 117 98 87 118 92 109 0.121616 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 0.979726 for a sample size = 634 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -