------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 99 91 108 104 120 100 106 83 83 106 0.206629 0.9940 Frequency 98 109 101 106 84 111 113 107 80 91 0.214439 0.9910 BlockFrequency 102 96 104 87 97 109 86 113 99 107 0.626709 0.9910 CumulativeSums 110 108 86 93 113 97 97 101 85 110 0.417219 0.9890 CumulativeSums 92 92 91 97 114 96 106 103 99 110 0.763677 0.9960 Runs 102 114 94 112 86 113 107 96 86 90 0.271619 0.9900 LongestRun 93 100 100 98 103 115 106 99 97 89 0.872425 0.9880 Rank 99 86 101 103 94 106 104 99 88 120 0.494392 0.9930 FFT 96 114 95 100 117 103 79 117 92 87 0.091487 0.9920 NonOverlappingTemplate 101 110 89 84 95 103 95 116 105 102 0.512137 0.9890 NonOverlappingTemplate 108 93 97 105 94 110 84 110 95 104 0.657933 0.9800 * NonOverlappingTemplate 96 87 97 110 108 93 93 116 92 108 0.494392 0.9930 NonOverlappingTemplate 99 109 103 95 101 107 87 105 97 97 0.925287 0.9910 NonOverlappingTemplate 92 99 109 82 93 108 95 116 103 103 0.454053 0.9920 NonOverlappingTemplate 89 107 113 98 97 101 97 105 86 107 0.707513 0.9890 NonOverlappingTemplate 89 97 88 110 105 111 93 106 92 109 0.585209 0.9920 NonOverlappingTemplate 102 104 97 111 102 101 107 101 92 83 0.781106 0.9910 NonOverlappingTemplate 108 87 77 89 118 95 110 114 108 94 0.061260 0.9920 NonOverlappingTemplate 97 116 85 92 107 96 114 89 101 103 0.395940 0.9870 NonOverlappingTemplate 97 121 93 105 93 103 93 97 106 92 0.595549 0.9880 NonOverlappingTemplate 101 99 86 101 91 100 103 104 106 109 0.896345 0.9890 NonOverlappingTemplate 95 94 107 105 88 106 111 112 82 100 0.433590 0.9940 NonOverlappingTemplate 104 102 103 82 103 104 96 104 101 101 0.903338 0.9940 NonOverlappingTemplate 98 97 107 95 102 96 108 95 108 94 0.965860 0.9850 NonOverlappingTemplate 81 114 102 110 113 87 96 100 99 98 0.334538 0.9950 NonOverlappingTemplate 92 92 88 91 115 113 100 104 99 106 0.534146 0.9900 NonOverlappingTemplate 95 96 103 102 106 110 106 95 91 96 0.942198 0.9910 NonOverlappingTemplate 103 95 99 91 109 106 112 79 105 101 0.490483 0.9900 NonOverlappingTemplate 106 107 85 85 101 97 106 104 109 100 0.660012 0.9930 NonOverlappingTemplate 91 97 104 103 115 109 84 96 92 109 0.496351 0.9890 NonOverlappingTemplate 112 109 90 85 105 115 96 83 99 106 0.248014 0.9850 NonOverlappingTemplate 108 91 106 91 103 93 97 113 100 98 0.832561 0.9880 NonOverlappingTemplate 114 103 106 96 108 110 88 104 81 90 0.317565 0.9870 NonOverlappingTemplate 98 87 107 107 93 109 104 103 108 84 0.589341 0.9890 NonOverlappingTemplate 85 118 104 92 118 101 103 78 110 91 0.061260 0.9910 NonOverlappingTemplate 77 93 107 102 99 107 99 111 96 109 0.437274 0.9920 NonOverlappingTemplate 93 94 103 100 89 101 108 109 95 108 0.875539 0.9900 NonOverlappingTemplate 100 105 94 100 89 111 99 114 89 99 0.717714 0.9880 NonOverlappingTemplate 111 95 95 81 98 101 96 103 106 114 0.540204 0.9890 NonOverlappingTemplate 97 116 96 100 111 110 91 95 101 83 0.439122 0.9900 NonOverlappingTemplate 114 99 98 91 117 101 103 100 88 89 0.488534 0.9930 NonOverlappingTemplate 114 110 102 94 94 94 91 96 100 105 0.807412 0.9890 NonOverlappingTemplate 84 108 105 109 96 95 106 102 98 97 0.816537 0.9900 NonOverlappingTemplate 101 99 103 95 102 95 104 99 103 99 0.999601 0.9870 NonOverlappingTemplate 109 92 94 114 95 82 117 103 95 99 0.311542 0.9820 NonOverlappingTemplate 100 92 96 106 96 102 93 93 125 97 0.467322 0.9870 NonOverlappingTemplate 113 91 104 120 94 88 105 95 90 100 0.353733 0.9890 NonOverlappingTemplate 111 94 107 102 105 108 92 98 81 102 0.603841 0.9860 NonOverlappingTemplate 96 102 96 95 101 107 86 112 106 99 0.844641 0.9880 NonOverlappingTemplate 100 107 90 102 100 115 100 92 86 108 0.635037 0.9890 NonOverlappingTemplate 85 115 99 108 104 92 85 107 100 105 0.442831 0.9950 NonOverlappingTemplate 95 101 96 101 105 96 111 104 93 98 0.973718 0.9880 NonOverlappingTemplate 87 117 119 102 105 97 98 88 98 89 0.255705 0.9940 NonOverlappingTemplate 118 107 87 105 98 112 90 84 86 113 0.110083 0.9880 NonOverlappingTemplate 89 90 87 103 120 83 113 112 107 96 0.100709 0.9920 NonOverlappingTemplate 90 103 97 103 103 97 115 112 92 88 0.614226 0.9930 NonOverlappingTemplate 110 85 91 108 95 118 89 109 103 92 0.279844 0.9930 NonOverlappingTemplate 105 108 93 105 98 112 98 81 107 93 0.560545 0.9960 NonOverlappingTemplate 101 115 91 104 90 102 104 82 105 106 0.506194 0.9900 NonOverlappingTemplate 96 95 91 99 107 101 93 114 106 98 0.869278 0.9940 NonOverlappingTemplate 103 90 110 102 106 112 103 89 97 88 0.662091 0.9910 NonOverlappingTemplate 89 110 101 105 88 109 86 90 106 116 0.304126 0.9960 NonOverlappingTemplate 102 101 119 82 90 112 103 84 111 96 0.146982 0.9880 NonOverlappingTemplate 102 101 92 106 86 100 94 107 110 102 0.842937 0.9930 NonOverlappingTemplate 97 113 97 89 98 95 97 98 106 110 0.846338 0.9950 NonOverlappingTemplate 101 98 82 103 103 95 108 108 97 105 0.803720 0.9890 NonOverlappingTemplate 98 89 93 113 98 97 114 86 104 108 0.506194 0.9880 NonOverlappingTemplate 96 101 116 99 101 100 84 108 83 112 0.328297 0.9910 NonOverlappingTemplate 94 102 94 106 86 109 92 93 108 116 0.512137 0.9900 NonOverlappingTemplate 95 112 94 114 110 97 106 91 89 92 0.522100 0.9890 NonOverlappingTemplate 89 102 110 81 108 98 108 108 99 97 0.542228 0.9870 NonOverlappingTemplate 108 104 101 102 100 97 80 97 105 106 0.775337 0.9830 NonOverlappingTemplate 108 88 117 89 97 84 116 91 109 101 0.161703 0.9960 NonOverlappingTemplate 103 115 106 76 112 101 89 107 87 104 0.142872 0.9870 NonOverlappingTemplate 118 79 114 113 88 97 94 97 109 91 0.093720 0.9870 NonOverlappingTemplate 86 105 106 112 103 104 91 110 85 98 0.498313 0.9910 NonOverlappingTemplate 97 98 84 92 92 98 103 107 124 105 0.304126 0.9860 NonOverlappingTemplate 90 97 105 96 101 99 97 102 111 102 0.968128 0.9920 NonOverlappingTemplate 103 104 100 109 96 101 99 83 106 99 0.875539 0.9890 NonOverlappingTemplate 114 84 102 102 95 98 93 102 117 93 0.455937 0.9880 NonOverlappingTemplate 94 102 100 109 93 105 111 86 100 100 0.823725 0.9850 NonOverlappingTemplate 104 93 93 86 103 108 103 93 105 112 0.729870 0.9900 NonOverlappingTemplate 96 113 96 101 116 104 79 117 91 87 0.104371 0.9920 NonOverlappingTemplate 108 93 101 94 108 105 97 100 97 97 0.976266 0.9910 NonOverlappingTemplate 106 102 102 109 82 117 100 80 105 97 0.229559 0.9880 NonOverlappingTemplate 99 100 101 120 95 86 93 117 96 93 0.329850 0.9910 NonOverlappingTemplate 109 98 94 84 107 100 100 110 105 93 0.739918 0.9880 NonOverlappingTemplate 91 108 106 103 96 114 97 83 108 94 0.534146 0.9950 NonOverlappingTemplate 111 100 93 109 85 98 106 109 89 100 0.618385 0.9870 NonOverlappingTemplate 100 89 92 109 114 103 100 93 84 116 0.325206 0.9850 NonOverlappingTemplate 120 105 92 105 109 84 98 98 112 77 0.082513 0.9810 * NonOverlappingTemplate 107 98 104 76 111 97 118 99 108 82 0.094285 0.9900 NonOverlappingTemplate 106 87 111 111 92 98 119 84 83 109 0.090388 0.9870 NonOverlappingTemplate 118 102 95 88 109 114 99 87 96 92 0.331408 0.9870 NonOverlappingTemplate 113 105 102 95 108 90 79 107 94 107 0.382115 0.9870 NonOverlappingTemplate 96 103 78 99 111 110 103 97 107 96 0.520102 0.9900 NonOverlappingTemplate 99 114 116 99 104 95 97 81 107 88 0.305599 0.9900 NonOverlappingTemplate 85 104 117 92 96 90 98 106 100 112 0.442831 0.9860 NonOverlappingTemplate 95 105 105 97 104 111 98 92 108 85 0.761719 0.9860 NonOverlappingTemplate 101 96 113 97 115 84 109 94 109 82 0.214439 0.9920 NonOverlappingTemplate 106 113 107 104 103 91 92 100 84 100 0.657933 0.9870 NonOverlappingTemplate 96 95 91 105 113 93 112 111 79 105 0.278461 0.9880 NonOverlappingTemplate 118 104 77 100 103 95 99 104 99 101 0.417219 0.9800 * NonOverlappingTemplate 114 97 108 98 94 104 92 104 108 81 0.504219 0.9890 NonOverlappingTemplate 110 99 81 105 90 115 98 109 88 105 0.299736 0.9860 NonOverlappingTemplate 99 99 104 94 86 106 104 117 88 103 0.591409 0.9920 NonOverlappingTemplate 84 107 92 93 97 99 111 106 95 116 0.469232 0.9930 NonOverlappingTemplate 111 95 107 126 103 101 87 95 81 94 0.098920 0.9920 NonOverlappingTemplate 100 96 97 112 106 88 81 102 97 121 0.234373 0.9910 NonOverlappingTemplate 93 114 84 91 105 102 95 121 96 99 0.279844 0.9900 NonOverlappingTemplate 90 89 95 105 106 96 118 104 95 102 0.645448 0.9910 NonOverlappingTemplate 104 103 105 104 104 98 117 96 85 84 0.463512 0.9900 NonOverlappingTemplate 105 113 104 86 107 97 109 93 89 97 0.612147 0.9840 NonOverlappingTemplate 103 98 102 128 85 100 92 104 80 108 0.073417 0.9910 NonOverlappingTemplate 95 89 100 107 108 94 105 99 113 90 0.749884 0.9830 NonOverlappingTemplate 108 108 98 100 111 88 108 88 110 81 0.299736 0.9930 NonOverlappingTemplate 94 105 100 91 105 112 95 101 100 97 0.943242 0.9900 NonOverlappingTemplate 100 109 89 99 99 98 99 97 112 98 0.932333 0.9930 NonOverlappingTemplate 90 106 106 92 108 96 91 111 103 97 0.801865 0.9940 NonOverlappingTemplate 99 104 93 112 97 92 103 102 93 105 0.930026 0.9900 NonOverlappingTemplate 115 116 112 83 96 90 108 90 94 96 0.188601 0.9910 NonOverlappingTemplate 88 109 122 99 95 100 120 93 92 82 0.072964 0.9920 NonOverlappingTemplate 101 98 100 107 107 92 107 95 100 93 0.968128 0.9910 NonOverlappingTemplate 90 96 114 105 95 82 105 98 105 110 0.494392 0.9920 NonOverlappingTemplate 94 101 108 97 110 104 106 95 97 88 0.883171 0.9900 NonOverlappingTemplate 80 102 106 98 99 109 100 121 99 86 0.234373 0.9940 NonOverlappingTemplate 98 104 94 94 92 105 101 104 92 116 0.818343 0.9910 NonOverlappingTemplate 90 107 96 94 108 96 112 102 91 104 0.811080 0.9890 NonOverlappingTemplate 105 99 84 93 100 95 104 104 110 106 0.812905 0.9960 NonOverlappingTemplate 103 110 84 84 95 106 112 104 94 108 0.399442 0.9880 NonOverlappingTemplate 119 109 82 89 94 93 105 101 104 104 0.326749 0.9940 NonOverlappingTemplate 81 105 90 104 96 112 102 103 104 103 0.637119 0.9900 NonOverlappingTemplate 107 118 102 104 112 91 107 90 91 78 0.148653 0.9900 NonOverlappingTemplate 101 94 109 102 99 113 98 95 95 94 0.922855 0.9910 NonOverlappingTemplate 85 96 103 121 92 108 106 104 80 105 0.164425 0.9910 NonOverlappingTemplate 105 113 95 97 91 94 89 111 102 103 0.739918 0.9880 NonOverlappingTemplate 97 110 87 111 96 105 101 98 101 94 0.849708 0.9900 NonOverlappingTemplate 96 100 116 97 86 89 101 109 100 106 0.620465 0.9900 NonOverlappingTemplate 94 101 91 104 104 111 96 111 88 100 0.786830 0.9920 NonOverlappingTemplate 97 109 91 97 112 101 95 98 101 99 0.937919 0.9930 NonOverlappingTemplate 89 108 90 112 100 117 82 91 113 98 0.164425 0.9930 NonOverlappingTemplate 107 113 99 98 111 94 112 77 100 89 0.228367 0.9930 NonOverlappingTemplate 92 102 101 101 105 97 105 107 92 98 0.981940 0.9910 NonOverlappingTemplate 93 111 97 106 107 109 82 98 91 106 0.544254 0.9910 NonOverlappingTemplate 85 115 112 105 88 95 107 98 94 101 0.457825 0.9920 NonOverlappingTemplate 100 102 113 97 108 92 106 91 99 92 0.841226 0.9960 NonOverlappingTemplate 111 90 99 100 92 106 93 92 112 105 0.735908 0.9850 NonOverlappingTemplate 101 96 95 89 107 103 115 95 109 90 0.686955 0.9880 NonOverlappingTemplate 76 95 98 104 89 114 116 89 117 102 0.065230 0.9900 NonOverlappingTemplate 111 105 83 107 104 98 101 95 99 97 0.798139 0.9870 NonOverlappingTemplate 93 115 102 104 92 103 102 95 88 106 0.763677 0.9890 NonOverlappingTemplate 100 105 94 100 110 89 94 111 99 98 0.880145 0.9910 NonOverlappingTemplate 80 102 89 119 83 108 106 98 107 108 0.125200 0.9890 NonOverlappingTemplate 97 105 103 95 112 118 83 95 101 91 0.408275 0.9880 NonOverlappingTemplate 88 96 103 105 88 102 114 91 100 113 0.546283 0.9900 NonOverlappingTemplate 104 94 91 88 102 109 102 92 106 112 0.729870 0.9900 NonOverlappingTemplate 94 98 88 102 106 113 104 102 97 96 0.884671 0.9920 OverlappingTemplate 100 98 100 114 103 101 93 86 93 112 0.691081 0.9860 Universal 104 104 95 104 91 86 113 92 118 93 0.387264 0.9900 ApproximateEntropy 60 61 53 57 62 64 59 74 57 73 0.670664 0.9855 RandomExcursions 68 55 58 59 66 74 60 58 67 55 0.752760 0.9919 RandomExcursions 58 71 55 67 53 50 68 62 67 69 0.517977 0.9903 RandomExcursions 62 62 59 67 70 50 61 68 60 61 0.869227 0.9903 RandomExcursions 63 70 47 67 56 55 69 68 57 68 0.455329 0.9887 RandomExcursions 59 58 65 47 53 69 70 73 66 60 0.385488 0.9935 RandomExcursions 74 57 56 64 76 58 58 68 53 56 0.391056 0.9758 * RandomExcursions 60 55 69 61 62 70 56 66 70 51 0.687355 0.9903 RandomExcursions 70 51 61 57 65 61 71 54 66 64 0.717123 0.9887 RandomExcursionsVariant 63 59 61 66 61 68 72 54 58 58 0.898218 0.9935 RandomExcursionsVariant 57 54 79 70 67 52 68 58 58 57 0.300817 0.9935 RandomExcursionsVariant 68 56 61 65 66 69 63 66 56 50 0.784127 0.9935 RandomExcursionsVariant 66 71 58 56 56 66 58 65 52 72 0.650552 0.9935 RandomExcursionsVariant 68 61 72 63 51 60 52 68 64 61 0.687355 0.9919 RandomExcursionsVariant 57 65 61 62 62 74 65 57 53 64 0.850843 0.9968 RandomExcursionsVariant 52 61 57 59 68 69 64 71 64 55 0.762288 0.9935 RandomExcursionsVariant 63 53 57 66 70 72 63 51 60 65 0.657263 0.9887 RandomExcursionsVariant 47 64 63 67 54 65 67 64 67 62 0.723673 0.9887 RandomExcursionsVariant 52 52 58 65 64 63 74 64 60 68 0.663967 0.9887 RandomExcursionsVariant 53 55 66 64 69 53 70 55 63 72 0.537400 0.9887 RandomExcursionsVariant 61 46 70 62 67 62 67 65 57 63 0.684024 0.9919 RandomExcursionsVariant 63 49 66 72 54 71 55 70 61 59 0.443251 0.9935 RandomExcursionsVariant 63 56 64 64 53 65 73 61 56 65 0.845408 0.9919 RandomExcursionsVariant 51 62 62 66 74 65 52 76 51 61 0.248055 0.9871 RandomExcursionsVariant 62 57 67 65 71 58 60 57 56 67 0.913523 0.9871 RandomExcursionsVariant 60 63 73 64 65 62 68 47 56 62 0.633761 0.9871 RandomExcursionsVariant 91 103 86 95 83 96 112 86 126 122 0.011959 0.9880 Serial 98 112 99 78 82 97 95 109 113 117 0.083018 0.9950 Serial 1000 0 0 0 0 0 0 0 0 0 0.000000 * 0.0000 * 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 0.979610 for a sample size = 620 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -