------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 88 111 105 104 80 90 102 107 98 115 0.284024 0.9890 Frequency 100 119 94 104 99 104 94 92 95 99 0.783019 0.9880 BlockFrequency 93 92 109 107 106 101 85 96 102 109 0.733899 0.9930 CumulativeSums 89 105 101 107 108 83 101 98 101 107 0.735908 0.9870 CumulativeSums 95 118 104 99 94 101 105 86 97 101 0.705466 0.9920 Runs 89 102 93 101 96 106 115 113 90 95 0.589341 0.9900 LongestRun 111 96 99 75 110 110 104 108 98 89 0.231956 0.9840 Rank 117 116 117 103 89 95 81 92 94 96 0.100709 0.9880 FFT 113 99 96 74 86 102 106 122 106 96 0.060112 0.9880 NonOverlappingTemplate 95 104 108 113 87 86 109 105 91 102 0.504219 0.9910 NonOverlappingTemplate 103 95 98 110 97 95 113 100 100 89 0.866097 0.9840 NonOverlappingTemplate 93 102 99 90 95 111 108 106 85 111 0.589341 0.9930 NonOverlappingTemplate 97 85 107 125 107 97 114 87 86 95 0.077607 0.9890 NonOverlappingTemplate 106 116 110 83 103 103 101 88 104 86 0.307077 0.9830 NonOverlappingTemplate 112 113 75 87 103 97 108 110 92 103 0.136499 0.9900 NonOverlappingTemplate 109 87 97 91 96 96 109 120 99 96 0.465415 0.9910 NonOverlappingTemplate 101 101 107 104 109 102 84 83 104 105 0.597620 0.9890 NonOverlappingTemplate 97 114 99 91 100 98 89 106 104 102 0.861264 0.9930 NonOverlappingTemplate 93 90 116 92 99 97 121 99 102 91 0.345650 0.9900 NonOverlappingTemplate 94 98 96 83 109 102 125 104 93 96 0.251837 0.9860 NonOverlappingTemplate 98 109 101 97 101 94 97 105 95 103 0.991468 0.9870 NonOverlappingTemplate 101 89 97 105 95 116 94 94 107 102 0.777265 0.9920 NonOverlappingTemplate 88 86 87 108 113 103 110 102 106 97 0.437274 0.9910 NonOverlappingTemplate 105 96 92 114 96 94 86 96 107 114 0.524101 0.9860 NonOverlappingTemplate 103 86 111 109 87 91 104 89 114 106 0.329850 0.9890 NonOverlappingTemplate 111 101 99 102 92 80 113 94 102 106 0.498313 0.9900 NonOverlappingTemplate 96 96 92 94 121 113 91 101 91 105 0.410055 0.9930 NonOverlappingTemplate 103 92 104 109 87 104 96 98 106 101 0.903338 0.9910 NonOverlappingTemplate 109 87 91 101 90 112 101 99 111 99 0.637119 0.9840 NonOverlappingTemplate 119 99 98 93 137 91 84 102 99 78 0.001967 0.9870 NonOverlappingTemplate 110 111 95 93 94 100 96 79 114 108 0.313041 0.9850 NonOverlappingTemplate 104 99 95 99 107 103 96 93 101 103 0.994720 0.9870 NonOverlappingTemplate 103 93 111 116 93 109 88 89 98 100 0.500279 0.9890 NonOverlappingTemplate 117 84 91 105 94 102 96 106 105 100 0.566688 0.9860 NonOverlappingTemplate 94 115 106 110 102 105 93 94 100 81 0.463512 0.9890 NonOverlappingTemplate 97 80 105 97 100 104 89 110 121 97 0.255705 0.9880 NonOverlappingTemplate 115 111 89 89 97 99 103 103 107 87 0.500279 0.9900 NonOverlappingTemplate 117 91 98 93 82 121 106 95 106 91 0.134944 0.9890 NonOverlappingTemplate 83 89 98 92 113 87 103 117 114 104 0.151190 0.9920 NonOverlappingTemplate 91 116 98 85 89 100 101 118 102 100 0.337688 0.9870 NonOverlappingTemplate 102 104 101 110 114 81 107 95 103 83 0.311542 0.9960 NonOverlappingTemplate 115 105 88 94 104 94 105 106 98 91 0.711601 0.9870 NonOverlappingTemplate 91 109 115 104 104 106 92 97 83 99 0.516113 0.9940 NonOverlappingTemplate 93 101 88 106 97 107 96 112 92 108 0.763677 0.9920 NonOverlappingTemplate 95 89 107 99 115 97 108 96 93 101 0.779188 0.9920 NonOverlappingTemplate 98 92 106 115 95 91 95 113 93 102 0.655854 0.9930 NonOverlappingTemplate 107 94 123 94 90 77 98 109 106 102 0.120909 0.9900 NonOverlappingTemplate 106 82 104 115 94 107 100 90 102 100 0.544254 0.9930 NonOverlappingTemplate 91 103 97 89 107 100 89 105 99 120 0.518106 0.9880 NonOverlappingTemplate 118 99 118 84 94 108 85 95 98 101 0.181557 0.9880 NonOverlappingTemplate 98 110 121 93 91 94 93 94 103 103 0.520102 0.9930 NonOverlappingTemplate 120 90 98 116 99 92 111 78 103 93 0.094285 0.9920 NonOverlappingTemplate 100 94 113 102 92 102 83 93 107 114 0.474986 0.9940 NonOverlappingTemplate 89 91 99 94 108 97 106 83 100 133 0.044797 0.9940 NonOverlappingTemplate 94 97 105 108 85 100 103 94 121 93 0.442831 0.9940 NonOverlappingTemplate 106 82 101 92 96 120 85 105 115 98 0.153763 0.9900 NonOverlappingTemplate 76 104 101 99 96 98 119 104 90 113 0.181557 0.9920 NonOverlappingTemplate 112 100 106 98 81 108 89 92 104 110 0.428095 0.9910 NonOverlappingTemplate 100 103 93 91 99 105 117 109 100 83 0.510153 0.9870 NonOverlappingTemplate 99 101 124 84 93 97 96 90 94 122 0.083526 0.9920 NonOverlappingTemplate 96 107 104 100 104 82 108 97 99 103 0.830808 0.9900 NonOverlappingTemplate 109 80 88 105 102 82 111 114 105 104 0.146982 0.9830 NonOverlappingTemplate 108 101 103 115 98 99 95 100 87 94 0.803720 0.9900 NonOverlappingTemplate 80 109 110 95 101 108 98 85 103 111 0.326749 0.9920 NonOverlappingTemplate 116 106 104 97 90 92 110 101 96 88 0.593478 0.9910 NonOverlappingTemplate 102 108 98 96 86 103 103 112 109 83 0.518106 0.9950 NonOverlappingTemplate 95 98 113 94 106 81 122 94 98 99 0.239266 0.9900 NonOverlappingTemplate 112 101 98 109 91 104 93 83 119 90 0.258307 0.9920 NonOverlappingTemplate 103 90 94 111 105 113 90 96 91 107 0.630872 0.9840 NonOverlappingTemplate 116 94 104 101 122 87 98 85 84 109 0.083526 0.9800 * NonOverlappingTemplate 91 94 101 114 113 104 92 102 93 96 0.707513 0.9880 NonOverlappingTemplate 91 77 84 110 111 92 113 108 122 92 0.022605 0.9860 NonOverlappingTemplate 107 87 89 100 112 107 104 93 101 100 0.741918 0.9950 NonOverlappingTemplate 86 115 112 100 93 99 113 97 87 98 0.378705 0.9900 NonOverlappingTemplate 102 88 89 83 98 121 102 98 107 112 0.211064 0.9920 NonOverlappingTemplate 90 101 108 118 100 108 103 83 85 104 0.281232 0.9930 NonOverlappingTemplate 99 91 95 125 112 99 95 95 90 99 0.328297 0.9890 NonOverlappingTemplate 107 107 86 120 104 94 96 96 95 95 0.506194 0.9910 NonOverlappingTemplate 124 98 98 86 104 87 97 112 93 101 0.231956 0.9880 NonOverlappingTemplate 117 86 98 89 79 102 97 126 105 101 0.039329 0.9880 NonOverlappingTemplate 93 80 97 95 102 106 113 121 95 98 0.235589 0.9940 NonOverlappingTemplate 105 108 97 98 94 120 90 120 82 86 0.076187 0.9890 NonOverlappingTemplate 113 99 95 75 86 102 106 121 107 96 0.075254 0.9880 NonOverlappingTemplate 129 97 111 87 89 84 104 90 110 99 0.043650 0.9910 NonOverlappingTemplate 107 96 95 95 103 102 95 115 101 91 0.867692 0.9890 NonOverlappingTemplate 95 99 112 107 102 100 99 113 88 85 0.572847 0.9940 NonOverlappingTemplate 80 105 85 115 105 113 100 108 91 98 0.203351 0.9930 NonOverlappingTemplate 105 102 113 88 99 111 104 98 94 86 0.620465 0.9880 NonOverlappingTemplate 88 105 120 100 107 88 99 101 103 89 0.442831 0.9890 NonOverlappingTemplate 109 105 97 104 104 82 113 98 97 91 0.601766 0.9870 NonOverlappingTemplate 114 79 115 101 93 96 114 106 81 101 0.085068 0.9880 NonOverlappingTemplate 96 100 97 94 90 108 106 97 111 101 0.916599 0.9890 NonOverlappingTemplate 108 108 83 103 100 97 104 96 102 99 0.858002 0.9890 NonOverlappingTemplate 111 100 92 90 108 92 93 118 106 90 0.417219 0.9860 NonOverlappingTemplate 99 98 103 97 95 97 104 105 103 99 0.999230 0.9870 NonOverlappingTemplate 101 101 95 98 123 108 79 90 111 94 0.152902 0.9850 NonOverlappingTemplate 112 99 99 99 86 86 87 125 96 111 0.099513 0.9820 NonOverlappingTemplate 92 102 102 93 105 114 99 95 89 109 0.769527 0.9920 NonOverlappingTemplate 104 101 85 80 98 91 112 110 107 112 0.234373 0.9900 NonOverlappingTemplate 108 96 92 110 104 101 90 102 95 102 0.915317 0.9920 NonOverlappingTemplate 100 82 109 101 95 102 109 93 106 103 0.729870 0.9900 NonOverlappingTemplate 100 100 96 106 89 101 92 104 110 102 0.936823 0.9940 NonOverlappingTemplate 100 109 103 109 79 79 116 93 110 102 0.101917 0.9890 NonOverlappingTemplate 91 99 94 108 100 101 96 114 99 98 0.911413 0.9920 NonOverlappingTemplate 116 94 83 98 100 99 101 112 103 94 0.558502 0.9890 NonOverlappingTemplate 95 100 106 85 96 123 126 96 77 96 0.014150 0.9900 NonOverlappingTemplate 108 103 102 109 98 80 106 103 89 102 0.603841 0.9880 NonOverlappingTemplate 99 102 98 98 95 119 89 108 97 95 0.721777 0.9840 NonOverlappingTemplate 109 96 82 103 110 84 103 113 100 100 0.380407 0.9890 NonOverlappingTemplate 89 91 116 112 94 92 99 103 91 113 0.382115 0.9940 NonOverlappingTemplate 83 107 122 75 95 92 107 121 98 100 0.016149 0.9880 NonOverlappingTemplate 117 100 90 107 101 96 89 103 102 95 0.725829 0.9870 NonOverlappingTemplate 108 99 94 108 94 100 105 83 98 111 0.699313 0.9880 NonOverlappingTemplate 96 80 111 104 109 112 107 85 105 91 0.238035 0.9890 NonOverlappingTemplate 110 83 114 113 104 104 95 90 90 97 0.334538 0.9840 NonOverlappingTemplate 104 106 87 111 102 97 99 101 93 100 0.907419 0.9930 NonOverlappingTemplate 90 104 99 106 115 103 100 92 109 82 0.478839 0.9910 NonOverlappingTemplate 112 105 100 84 94 95 105 111 97 97 0.689019 0.9880 NonOverlappingTemplate 84 98 107 100 92 93 91 103 121 111 0.293952 0.9910 NonOverlappingTemplate 125 94 69 96 81 103 109 90 118 115 0.001210 0.9910 NonOverlappingTemplate 98 85 112 105 114 116 94 86 101 89 0.211064 0.9950 NonOverlappingTemplate 96 110 91 105 102 103 106 94 108 85 0.743915 0.9920 NonOverlappingTemplate 113 85 103 85 97 101 101 104 107 104 0.616305 0.9900 NonOverlappingTemplate 103 110 85 100 95 93 114 115 82 103 0.235589 0.9890 NonOverlappingTemplate 102 91 96 93 99 96 89 102 123 109 0.435430 0.9880 NonOverlappingTemplate 98 87 99 96 105 104 89 110 116 96 0.612147 0.9930 NonOverlappingTemplate 101 113 90 101 96 108 112 96 95 88 0.657933 0.9900 NonOverlappingTemplate 99 100 92 91 106 97 89 112 110 104 0.767582 0.9880 NonOverlappingTemplate 89 97 107 110 94 90 85 112 101 115 0.342451 0.9900 NonOverlappingTemplate 120 102 105 94 104 91 101 97 112 74 0.125200 0.9890 NonOverlappingTemplate 95 102 110 104 90 104 94 106 89 106 0.842937 0.9920 NonOverlappingTemplate 101 96 106 97 101 114 105 92 85 103 0.757790 0.9870 NonOverlappingTemplate 105 103 94 96 86 100 105 100 98 113 0.851383 0.9890 NonOverlappingTemplate 94 97 97 105 107 103 92 100 106 99 0.983938 0.9930 NonOverlappingTemplate 93 92 87 110 105 104 102 81 116 110 0.246750 0.9930 NonOverlappingTemplate 112 101 96 84 81 109 104 102 111 100 0.350485 0.9840 NonOverlappingTemplate 97 96 100 112 110 90 108 108 88 91 0.614226 0.9920 NonOverlappingTemplate 101 104 108 94 97 94 92 93 98 119 0.699313 0.9860 NonOverlappingTemplate 106 94 96 95 120 103 76 113 95 102 0.164425 0.9900 NonOverlappingTemplate 88 102 98 112 102 99 90 107 98 104 0.859637 0.9930 NonOverlappingTemplate 105 100 97 135 114 87 99 81 94 88 0.010021 0.9900 NonOverlappingTemplate 98 109 85 109 90 91 104 104 111 99 0.610070 0.9890 NonOverlappingTemplate 98 94 101 98 108 88 120 100 97 96 0.660012 0.9870 NonOverlappingTemplate 88 94 121 100 92 89 101 108 95 112 0.319084 0.9940 NonOverlappingTemplate 99 116 91 101 113 88 122 78 105 87 0.033584 0.9920 NonOverlappingTemplate 103 82 118 80 98 123 89 81 108 118 0.003447 0.9930 NonOverlappingTemplate 88 116 97 102 91 107 102 114 86 97 0.394195 0.9870 NonOverlappingTemplate 105 94 103 93 105 102 99 104 90 105 0.968128 0.9900 NonOverlappingTemplate 95 102 101 110 98 99 93 105 89 108 0.915317 0.9900 NonOverlappingTemplate 93 98 98 95 121 101 112 91 90 101 0.484646 0.9880 NonOverlappingTemplate 100 93 111 111 84 91 98 102 107 103 0.643366 0.9920 NonOverlappingTemplate 104 90 96 118 109 82 106 99 88 108 0.271619 0.9880 NonOverlappingTemplate 92 105 92 86 100 111 102 92 116 104 0.524101 0.9870 NonOverlappingTemplate 87 90 98 101 97 108 96 102 98 123 0.437274 0.9920 NonOverlappingTemplate 93 110 102 91 92 108 94 110 99 101 0.834308 0.9890 NonOverlappingTemplate 105 108 97 96 96 120 90 120 82 86 0.078086 0.9890 NonOverlappingTemplate 100 100 95 93 99 117 89 109 98 100 0.769527 0.9850 OverlappingTemplate 95 107 104 103 106 91 95 93 99 107 0.946308 0.9820 Universal 103 102 103 107 93 111 90 97 111 83 0.574903 0.9900 ApproximateEntropy 56 53 66 72 64 57 60 74 76 67 0.444517 0.9922 RandomExcursions 76 63 61 58 80 56 66 57 57 71 0.324580 0.9829 RandomExcursions 55 55 65 63 71 68 68 67 71 62 0.851643 0.9953 RandomExcursions 59 73 57 87 69 51 61 65 57 66 0.099420 0.9891 RandomExcursions 71 73 81 77 58 53 53 54 66 59 0.076968 0.9845 RandomExcursions 67 71 64 60 73 66 63 56 66 59 0.914471 0.9938 RandomExcursions 58 70 70 85 72 64 66 62 55 43 0.036841 0.9953 RandomExcursions 62 75 60 64 58 67 67 66 60 66 0.945201 0.9845 RandomExcursions 69 54 74 57 73 58 66 68 62 64 0.690630 0.9922 RandomExcursionsVariant 66 60 64 71 68 66 60 61 64 65 0.994288 0.9922 RandomExcursionsVariant 59 63 75 70 63 64 60 59 66 66 0.933436 0.9907 RandomExcursionsVariant 58 58 68 68 69 67 78 62 54 63 0.651758 0.9938 RandomExcursionsVariant 61 62 61 68 70 64 69 75 63 52 0.769224 0.9922 RandomExcursionsVariant 63 71 55 61 76 63 59 56 60 81 0.303437 0.9938 RandomExcursionsVariant 62 60 70 66 57 50 64 69 87 60 0.134485 0.9969 RandomExcursionsVariant 68 63 73 48 57 71 64 71 66 64 0.545205 0.9938 RandomExcursionsVariant 68 65 67 80 68 57 48 70 71 51 0.145713 0.9922 RandomExcursionsVariant 66 64 71 64 60 74 47 55 77 67 0.262042 0.9845 RandomExcursionsVariant 71 66 68 57 57 64 68 63 62 69 0.949854 0.9891 RandomExcursionsVariant 68 70 65 72 59 62 56 67 69 57 0.869426 0.9891 RandomExcursionsVariant 65 76 66 71 64 71 59 63 49 61 0.542038 0.9876 RandomExcursionsVariant 57 77 75 66 66 72 68 48 67 49 0.111123 0.9845 RandomExcursionsVariant 58 61 80 63 62 68 74 63 61 55 0.532572 0.9876 RandomExcursionsVariant 59 67 75 58 60 65 71 64 60 66 0.888520 0.9876 RandomExcursionsVariant 68 62 70 69 80 49 57 62 70 58 0.294357 0.9907 RandomExcursionsVariant 62 74 74 58 67 62 71 54 48 75 0.203792 0.9891 RandomExcursionsVariant 92 103 89 103 106 101 99 112 90 105 0.825505 0.9940 Serial 101 91 112 84 103 93 108 98 100 110 0.628790 0.9930 Serial 107 88 100 93 90 103 113 103 117 86 0.339271 0.9920 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 0.979814 for a sample size = 645 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -