------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 102 101 96 103 97 79 105 100 115 102 0.601766 0.9880 Frequency 81 93 101 111 92 125 99 89 110 99 0.107512 0.9940 BlockFrequency 108 104 86 90 103 97 98 116 99 99 0.682823 0.9860 CumulativeSums 104 111 97 91 97 112 100 95 101 92 0.859637 0.9860 CumulativeSums 109 100 91 94 100 94 98 100 97 117 0.801865 0.9900 Runs 85 105 118 91 91 92 98 110 103 107 0.382115 0.9920 LongestRun 107 93 99 103 103 85 106 115 91 98 0.649612 0.9890 Rank 99 95 115 113 90 95 110 99 99 85 0.463512 0.9910 FFT 107 101 101 87 103 115 90 107 100 89 0.612147 0.9900 NonOverlappingTemplate 95 103 85 108 97 96 104 111 97 104 0.825505 0.9890 NonOverlappingTemplate 109 102 84 106 99 103 81 108 107 101 0.473064 0.9900 NonOverlappingTemplate 100 103 98 98 90 102 92 109 96 112 0.893482 0.9900 NonOverlappingTemplate 100 102 114 100 101 87 104 103 91 98 0.851383 0.9910 NonOverlappingTemplate 93 97 85 116 95 104 113 116 90 91 0.221317 0.9900 NonOverlappingTemplate 105 102 90 88 107 75 106 123 100 104 0.083526 0.9880 NonOverlappingTemplate 99 103 102 108 101 98 112 87 86 104 0.731886 0.9900 NonOverlappingTemplate 87 111 98 107 117 93 110 79 101 97 0.195864 0.9960 NonOverlappingTemplate 111 101 110 98 102 90 103 93 93 99 0.884671 0.9900 NonOverlappingTemplate 119 101 107 96 93 103 96 91 100 94 0.721777 0.9930 NonOverlappingTemplate 109 83 123 80 119 90 89 97 108 102 0.020689 0.9900 NonOverlappingTemplate 108 73 90 115 124 98 89 99 90 114 0.011959 0.9880 NonOverlappingTemplate 101 112 98 108 109 89 84 109 100 90 0.482707 0.9900 NonOverlappingTemplate 99 109 97 101 101 93 91 112 110 87 0.703417 0.9860 NonOverlappingTemplate 97 103 86 110 90 100 132 112 86 84 0.015926 0.9910 NonOverlappingTemplate 115 92 108 91 105 80 120 103 96 90 0.128132 0.9930 NonOverlappingTemplate 95 108 98 95 101 99 103 106 97 98 0.994488 0.9910 NonOverlappingTemplate 89 110 97 116 86 103 99 106 96 98 0.587274 0.9880 NonOverlappingTemplate 88 94 97 101 101 96 108 112 111 92 0.739918 0.9940 NonOverlappingTemplate 95 97 101 86 106 113 112 100 98 92 0.691081 0.9890 NonOverlappingTemplate 99 108 97 98 119 98 91 102 88 100 0.666245 0.9840 NonOverlappingTemplate 98 97 99 92 117 105 89 100 104 99 0.807412 0.9860 NonOverlappingTemplate 91 101 95 120 101 86 93 110 101 102 0.476911 0.9850 NonOverlappingTemplate 100 98 95 92 86 115 110 105 75 124 0.030806 0.9890 NonOverlappingTemplate 108 96 112 95 107 84 111 105 90 92 0.471146 0.9960 NonOverlappingTemplate 109 102 94 107 101 95 103 102 93 94 0.966626 0.9890 NonOverlappingTemplate 98 108 106 91 93 91 117 94 104 98 0.678686 0.9910 NonOverlappingTemplate 96 90 104 90 111 97 105 108 94 105 0.823725 0.9940 NonOverlappingTemplate 120 99 110 94 98 104 88 98 93 96 0.564639 0.9870 NonOverlappingTemplate 111 94 98 109 97 87 101 80 103 120 0.196920 0.9900 NonOverlappingTemplate 91 97 93 82 109 105 122 99 106 96 0.271619 0.9930 NonOverlappingTemplate 107 99 114 113 86 92 110 101 88 90 0.334538 0.9860 NonOverlappingTemplate 89 104 120 98 100 99 103 95 98 94 0.723804 0.9950 NonOverlappingTemplate 95 103 105 94 96 104 87 105 104 107 0.920383 0.9900 NonOverlappingTemplate 98 102 89 96 108 116 100 108 90 93 0.660012 0.9920 NonOverlappingTemplate 85 93 100 105 103 95 111 107 97 104 0.809249 0.9910 NonOverlappingTemplate 99 96 109 107 111 103 101 85 113 76 0.187581 0.9820 NonOverlappingTemplate 93 97 101 90 100 120 84 106 108 101 0.422638 0.9880 NonOverlappingTemplate 106 113 105 103 100 86 97 98 101 91 0.807412 0.9830 NonOverlappingTemplate 117 82 109 113 105 96 89 100 77 112 0.049030 0.9780 * NonOverlappingTemplate 106 99 96 94 104 97 91 105 113 95 0.901959 0.9930 NonOverlappingTemplate 111 89 93 83 108 93 114 109 99 101 0.373625 0.9950 NonOverlappingTemplate 85 95 101 91 98 97 105 110 109 109 0.707513 0.9890 NonOverlappingTemplate 90 102 84 106 103 114 90 91 104 116 0.308561 0.9930 NonOverlappingTemplate 98 102 94 89 97 105 134 94 93 94 0.097743 0.9850 NonOverlappingTemplate 98 114 99 87 113 93 92 99 105 100 0.660012 0.9900 NonOverlappingTemplate 119 95 105 79 121 82 108 103 89 99 0.033807 0.9850 NonOverlappingTemplate 100 113 94 111 89 102 99 106 98 88 0.703417 0.9880 NonOverlappingTemplate 96 94 118 93 106 103 101 87 93 109 0.564639 0.9880 NonOverlappingTemplate 107 100 105 89 95 107 93 111 100 93 0.844641 0.9880 NonOverlappingTemplate 95 98 96 113 105 111 111 88 88 95 0.540204 0.9880 NonOverlappingTemplate 95 101 89 77 114 115 92 120 105 92 0.057146 0.9910 NonOverlappingTemplate 110 105 101 91 95 89 110 107 98 94 0.796268 0.9880 NonOverlappingTemplate 108 106 96 107 94 101 103 96 118 71 0.125200 0.9850 NonOverlappingTemplate 104 120 104 94 120 101 92 82 90 93 0.120207 0.9940 NonOverlappingTemplate 84 87 106 109 113 91 101 106 116 87 0.184549 0.9840 NonOverlappingTemplate 95 97 80 101 134 93 117 82 112 89 0.002778 0.9940 NonOverlappingTemplate 78 82 95 125 110 98 90 115 89 118 0.005516 0.9910 NonOverlappingTemplate 104 100 89 88 123 99 99 103 87 108 0.308561 0.9910 NonOverlappingTemplate 105 95 95 88 102 95 108 97 115 100 0.792508 0.9910 NonOverlappingTemplate 87 94 94 99 98 98 98 114 99 119 0.522100 0.9960 NonOverlappingTemplate 93 100 102 94 106 99 98 100 109 99 0.989425 0.9880 NonOverlappingTemplate 91 105 91 91 98 120 95 107 107 95 0.514124 0.9930 NonOverlappingTemplate 102 97 97 95 111 96 113 100 100 89 0.856359 0.9910 NonOverlappingTemplate 101 113 96 92 84 99 108 108 99 100 0.703417 0.9900 NonOverlappingTemplate 79 92 96 94 107 102 112 100 102 116 0.339271 0.9900 NonOverlappingTemplate 102 105 102 92 114 112 94 87 92 100 0.630872 0.9900 NonOverlappingTemplate 97 102 110 99 93 90 108 87 103 111 0.713641 0.9960 NonOverlappingTemplate 93 105 110 107 110 94 96 86 84 115 0.310049 0.9890 NonOverlappingTemplate 100 98 110 97 92 115 84 108 111 85 0.298282 0.9900 NonOverlappingTemplate 99 82 103 110 101 80 106 104 99 116 0.246750 0.9900 NonOverlappingTemplate 98 106 92 96 106 105 92 108 93 104 0.927677 0.9900 NonOverlappingTemplate 102 118 97 105 92 92 120 96 93 85 0.224821 0.9920 NonOverlappingTemplate 108 100 101 87 103 115 90 107 100 89 0.597620 0.9900 NonOverlappingTemplate 103 101 117 105 96 101 92 95 95 95 0.851383 0.9920 NonOverlappingTemplate 110 79 84 107 97 117 100 110 94 102 0.169981 0.9900 NonOverlappingTemplate 101 114 105 89 90 122 98 90 89 102 0.239266 0.9880 NonOverlappingTemplate 108 95 97 100 107 94 88 114 96 101 0.798139 0.9930 NonOverlappingTemplate 104 104 94 92 88 108 99 115 112 84 0.378705 0.9880 NonOverlappingTemplate 102 93 88 122 99 106 84 115 109 82 0.066051 0.9920 NonOverlappingTemplate 90 114 115 96 97 99 93 113 98 85 0.355364 0.9920 NonOverlappingTemplate 101 105 84 104 104 103 90 101 112 96 0.755819 0.9890 NonOverlappingTemplate 96 95 97 90 99 102 98 108 111 104 0.935716 0.9920 NonOverlappingTemplate 113 94 103 102 94 111 98 97 82 106 0.587274 0.9900 NonOverlappingTemplate 95 98 106 101 111 93 102 97 95 102 0.972382 0.9930 NonOverlappingTemplate 105 101 81 102 94 100 107 107 104 99 0.796268 0.9910 NonOverlappingTemplate 95 93 94 104 92 94 116 93 121 98 0.370262 0.9880 NonOverlappingTemplate 83 91 101 105 114 106 90 101 116 93 0.323668 0.9910 NonOverlappingTemplate 101 104 78 106 104 110 90 91 127 89 0.051281 0.9910 NonOverlappingTemplate 112 106 91 94 80 113 121 90 99 94 0.107512 0.9860 NonOverlappingTemplate 105 102 83 103 93 98 99 110 109 98 0.773405 0.9890 NonOverlappingTemplate 96 101 80 112 114 98 98 99 110 92 0.410055 0.9950 NonOverlappingTemplate 107 103 97 108 90 108 104 98 90 95 0.883171 0.9820 NonOverlappingTemplate 88 101 113 80 112 98 101 108 100 99 0.411840 0.9920 NonOverlappingTemplate 86 98 107 83 104 103 116 107 103 93 0.413628 0.9950 NonOverlappingTemplate 112 103 102 88 99 92 106 107 101 90 0.786830 0.9890 NonOverlappingTemplate 104 86 108 106 122 106 93 94 94 87 0.260930 0.9910 NonOverlappingTemplate 90 103 117 105 98 86 103 87 104 107 0.469232 0.9940 NonOverlappingTemplate 104 103 74 95 113 109 92 118 101 91 0.106877 0.9890 NonOverlappingTemplate 83 109 107 116 87 98 86 120 89 105 0.068999 0.9920 NonOverlappingTemplate 98 100 87 95 108 118 109 81 112 92 0.193767 0.9900 NonOverlappingTemplate 96 96 96 98 105 123 96 114 82 94 0.225998 0.9860 NonOverlappingTemplate 116 96 106 99 118 85 108 94 80 98 0.136499 0.9860 NonOverlappingTemplate 84 91 96 119 103 96 107 98 98 108 0.474986 0.9890 NonOverlappingTemplate 95 108 97 104 108 110 99 99 80 100 0.657933 0.9900 NonOverlappingTemplate 103 89 91 96 116 104 101 92 113 95 0.576961 0.9940 NonOverlappingTemplate 92 115 84 94 119 117 84 97 93 105 0.073417 0.9900 NonOverlappingTemplate 103 99 114 92 90 120 82 100 107 93 0.217857 0.9930 NonOverlappingTemplate 103 118 103 89 110 100 92 92 91 102 0.558502 0.9920 NonOverlappingTemplate 107 101 113 87 110 104 91 89 98 100 0.626709 0.9890 NonOverlappingTemplate 106 120 103 97 99 98 91 103 96 87 0.601766 0.9820 NonOverlappingTemplate 93 104 117 102 97 102 90 90 94 111 0.607993 0.9940 NonOverlappingTemplate 113 96 97 103 85 100 117 106 82 101 0.291091 0.9900 NonOverlappingTemplate 120 95 92 82 104 116 109 95 98 89 0.155499 0.9900 NonOverlappingTemplate 95 116 106 89 98 103 104 92 82 115 0.289667 0.9970 NonOverlappingTemplate 91 115 112 103 101 87 98 108 96 89 0.500279 0.9930 NonOverlappingTemplate 90 115 97 89 108 101 98 103 101 98 0.800005 0.9920 NonOverlappingTemplate 97 103 121 103 97 94 97 96 96 96 0.769527 0.9950 NonOverlappingTemplate 111 94 103 107 80 111 111 96 92 95 0.382115 0.9910 NonOverlappingTemplate 115 91 118 91 104 118 102 91 90 80 0.059734 0.9880 NonOverlappingTemplate 98 105 100 90 88 113 98 108 97 103 0.809249 0.9910 NonOverlappingTemplate 107 103 93 113 85 90 106 99 102 102 0.693142 0.9910 NonOverlappingTemplate 105 98 84 101 99 112 91 102 94 114 0.587274 0.9920 NonOverlappingTemplate 100 99 101 97 106 114 94 86 112 91 0.637119 0.9840 NonOverlappingTemplate 94 100 101 110 90 98 113 84 92 118 0.308561 0.9920 NonOverlappingTemplate 97 102 100 104 98 105 111 102 87 94 0.919131 0.9860 NonOverlappingTemplate 108 113 89 107 105 91 101 103 94 89 0.662091 0.9830 NonOverlappingTemplate 104 99 101 103 98 98 110 95 101 91 0.982958 0.9880 NonOverlappingTemplate 95 104 90 89 103 111 97 108 121 82 0.196920 0.9950 NonOverlappingTemplate 113 113 98 96 104 89 86 97 100 104 0.620465 0.9940 NonOverlappingTemplate 115 99 121 92 91 89 91 114 90 98 0.156373 0.9880 NonOverlappingTemplate 105 106 107 94 105 93 97 100 92 101 0.966626 0.9920 NonOverlappingTemplate 114 96 115 105 110 95 99 95 92 79 0.263572 0.9860 NonOverlappingTemplate 103 105 93 103 87 83 100 108 107 111 0.550347 0.9870 NonOverlappingTemplate 109 96 102 93 90 107 91 107 106 99 0.862883 0.9920 NonOverlappingTemplate 105 97 84 96 104 102 88 116 107 101 0.558502 0.9900 NonOverlappingTemplate 113 117 84 95 101 95 101 90 104 100 0.454053 0.9910 NonOverlappingTemplate 96 101 120 87 94 103 93 98 104 104 0.620465 0.9870 NonOverlappingTemplate 119 84 84 101 117 93 103 114 96 89 0.077131 0.9930 NonOverlappingTemplate 104 110 87 91 104 109 105 93 112 85 0.431754 0.9930 NonOverlappingTemplate 109 82 114 97 111 97 93 104 106 87 0.342451 0.9890 NonOverlappingTemplate 98 108 97 108 111 89 93 87 112 97 0.581082 0.9870 NonOverlappingTemplate 80 99 118 99 105 100 92 96 104 107 0.440975 0.9950 NonOverlappingTemplate 100 95 94 110 102 91 108 113 97 90 0.751866 0.9880 NonOverlappingTemplate 118 91 113 86 95 98 85 106 102 106 0.275709 0.9910 NonOverlappingTemplate 91 102 88 98 106 90 123 106 106 90 0.296834 0.9870 NonOverlappingTemplate 102 118 97 105 92 93 119 96 93 85 0.258307 0.9920 NonOverlappingTemplate 127 105 110 97 84 98 77 118 87 97 0.010457 0.9820 OverlappingTemplate 108 107 113 107 84 104 104 90 95 88 0.448424 0.9940 Universal 95 99 95 105 106 84 123 92 98 103 0.371941 0.9920 ApproximateEntropy 62 64 69 49 62 54 69 62 71 56 0.584363 0.9871 RandomExcursions 57 61 60 69 53 65 65 62 61 65 0.956714 0.9935 RandomExcursions 67 59 66 56 59 64 67 62 63 55 0.966213 0.9887 RandomExcursions 53 68 68 69 56 63 61 48 75 57 0.317093 0.9935 RandomExcursions 60 60 55 69 59 55 68 55 75 62 0.642240 0.9903 RandomExcursions 62 69 70 55 61 53 59 62 61 66 0.873629 0.9951 RandomExcursions 48 66 75 55 74 65 64 49 69 53 0.101827 0.9951 RandomExcursions 61 56 58 62 58 67 81 64 53 58 0.417839 0.9935 RandomExcursions 58 62 52 77 58 58 68 70 56 59 0.475932 0.9919 RandomExcursionsVariant 57 62 58 64 67 62 58 62 66 62 0.994599 0.9951 RandomExcursionsVariant 53 66 52 65 63 71 69 56 61 62 0.716747 0.9871 RandomExcursionsVariant 50 65 53 74 48 69 73 59 65 62 0.182044 0.9887 RandomExcursionsVariant 57 64 50 54 79 52 63 67 67 65 0.252848 0.9919 RandomExcursionsVariant 54 59 76 54 60 67 49 62 69 68 0.334796 0.9935 RandomExcursionsVariant 58 63 74 56 51 69 55 58 78 56 0.215164 0.9951 RandomExcursionsVariant 63 72 67 59 65 49 56 66 64 57 0.683094 0.9919 RandomExcursionsVariant 68 70 63 61 74 61 62 52 58 49 0.454084 0.9919 RandomExcursionsVariant 56 68 48 78 60 62 54 70 64 58 0.263551 0.9919 RandomExcursionsVariant 56 67 71 54 82 47 56 65 61 59 0.101827 0.9871 RandomExcursionsVariant 59 72 60 64 63 58 69 51 65 57 0.775401 0.9822 RandomExcursionsVariant 70 54 72 53 55 62 76 72 50 54 0.114392 0.9838 RandomExcursionsVariant 62 65 57 61 72 63 54 72 60 52 0.666109 0.9838 RandomExcursionsVariant 59 59 67 61 65 62 59 58 67 61 0.994210 0.9871 RandomExcursionsVariant 67 61 72 70 48 62 51 67 62 58 0.429743 0.9887 RandomExcursionsVariant 66 57 75 53 66 67 64 51 56 63 0.514450 0.9871 RandomExcursionsVariant 57 57 72 67 77 57 60 61 56 54 0.457175 0.9887 RandomExcursionsVariant 112 110 92 97 100 103 81 98 106 101 0.607993 0.9880 Serial 117 101 78 109 99 110 88 86 110 102 0.122325 0.9890 Serial 88 116 104 92 83 80 106 125 108 98 0.025363 0.9870 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 0.979594 for a sample size = 618 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -