------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 92 101 112 94 100 104 93 100 109 95 0.900569 0.9870 Frequency 99 109 114 105 93 102 80 103 101 94 0.532132 0.9920 BlockFrequency 91 98 103 99 101 108 87 115 117 81 0.211064 0.9870 CumulativeSums 88 99 106 108 104 92 108 107 102 86 0.701366 0.9870 CumulativeSums 98 91 102 114 109 103 84 100 90 109 0.522100 0.9930 Runs 90 89 93 107 99 116 93 99 116 98 0.450297 0.9890 LongestRun 94 84 98 110 122 91 96 100 100 105 0.348869 0.9920 Rank 114 116 79 106 81 111 107 86 93 107 0.040901 0.9870 FFT 106 105 96 110 108 97 85 92 117 84 0.286836 0.9880 NonOverlappingTemplate 102 88 101 100 98 114 98 93 103 103 0.897763 0.9880 NonOverlappingTemplate 89 103 94 95 93 104 116 102 95 109 0.717714 0.9850 NonOverlappingTemplate 105 96 85 100 107 99 96 103 96 113 0.811080 0.9860 NonOverlappingTemplate 98 98 103 96 100 91 113 106 88 107 0.823725 0.9910 NonOverlappingTemplate 97 104 110 109 92 97 92 110 78 111 0.313041 0.9860 NonOverlappingTemplate 88 94 86 104 96 101 96 112 113 110 0.496351 0.9890 NonOverlappingTemplate 105 117 94 107 102 85 98 88 100 104 0.542228 0.9910 NonOverlappingTemplate 102 93 111 110 105 83 110 97 91 98 0.552383 0.9890 NonOverlappingTemplate 94 103 102 86 98 96 95 107 108 111 0.812905 0.9930 NonOverlappingTemplate 112 104 78 94 88 103 116 108 105 92 0.190654 0.9860 NonOverlappingTemplate 81 104 83 95 123 91 111 105 101 106 0.095426 0.9890 NonOverlappingTemplate 98 102 104 98 84 102 92 118 107 95 0.585209 0.9930 NonOverlappingTemplate 81 92 126 85 119 108 103 107 88 91 0.015926 0.9930 NonOverlappingTemplate 101 91 102 104 96 103 109 87 98 109 0.866097 0.9890 NonOverlappingTemplate 107 105 77 85 100 98 97 118 100 113 0.147815 0.9860 NonOverlappingTemplate 108 112 92 93 95 91 105 110 92 102 0.719747 0.9860 NonOverlappingTemplate 122 107 102 99 98 94 108 90 98 82 0.296834 0.9860 NonOverlappingTemplate 93 106 111 90 85 116 111 95 110 83 0.152902 0.9930 NonOverlappingTemplate 92 110 95 87 80 110 98 105 109 114 0.234373 0.9910 NonOverlappingTemplate 114 97 101 100 88 82 95 104 106 113 0.419021 0.9890 NonOverlappingTemplate 115 109 84 101 111 92 111 105 93 79 0.128132 0.9830 NonOverlappingTemplate 101 87 91 103 117 102 100 95 108 96 0.680755 0.9910 NonOverlappingTemplate 75 99 103 106 106 103 107 109 100 92 0.428095 0.9920 NonOverlappingTemplate 106 101 100 96 113 99 85 103 83 114 0.399442 0.9830 NonOverlappingTemplate 91 82 103 121 110 101 93 103 95 101 0.319084 0.9960 NonOverlappingTemplate 96 102 102 113 98 93 95 99 110 92 0.886162 0.9910 NonOverlappingTemplate 83 93 108 107 112 97 105 103 97 95 0.666245 0.9920 NonOverlappingTemplate 101 103 93 117 94 97 97 98 115 85 0.478839 0.9880 NonOverlappingTemplate 108 108 117 83 103 87 95 100 103 96 0.406499 0.9900 NonOverlappingTemplate 118 89 102 92 111 95 87 99 110 97 0.402962 0.9860 NonOverlappingTemplate 90 121 92 92 97 104 100 98 115 91 0.347257 0.9930 NonOverlappingTemplate 108 99 96 106 80 116 106 81 112 96 0.149495 0.9860 NonOverlappingTemplate 104 106 108 110 107 89 108 91 78 99 0.337688 0.9850 NonOverlappingTemplate 100 95 91 84 108 107 110 106 98 101 0.723804 0.9880 NonOverlappingTemplate 110 116 91 84 91 108 97 100 91 112 0.295391 0.9850 NonOverlappingTemplate 97 109 98 112 89 107 98 104 98 88 0.763677 0.9920 NonOverlappingTemplate 90 109 104 97 107 100 97 94 94 108 0.911413 0.9930 NonOverlappingTemplate 100 97 88 109 95 97 109 103 102 100 0.934599 0.9940 NonOverlappingTemplate 88 85 95 102 106 97 97 112 124 94 0.208837 0.9940 NonOverlappingTemplate 85 100 105 112 98 103 94 104 98 101 0.864494 0.9940 NonOverlappingTemplate 120 101 101 91 86 85 110 105 98 103 0.317565 0.9890 NonOverlappingTemplate 83 109 101 104 98 94 111 105 92 103 0.693142 0.9900 NonOverlappingTemplate 106 94 104 98 102 81 99 102 108 106 0.777265 0.9880 NonOverlappingTemplate 99 91 101 96 108 110 88 106 107 94 0.809249 0.9910 NonOverlappingTemplate 105 96 81 124 102 114 91 102 90 95 0.126658 0.9930 NonOverlappingTemplate 106 97 89 94 108 109 102 98 97 100 0.933472 0.9840 NonOverlappingTemplate 97 107 93 101 112 108 92 97 107 86 0.705466 0.9870 NonOverlappingTemplate 96 97 98 99 102 105 107 93 92 111 0.945296 0.9970 NonOverlappingTemplate 109 86 114 96 92 86 124 106 96 91 0.103138 0.9870 NonOverlappingTemplate 116 105 81 100 106 99 100 94 109 90 0.440975 0.9890 NonOverlappingTemplate 107 90 104 120 100 97 114 95 71 102 0.058984 0.9920 NonOverlappingTemplate 101 97 100 97 114 94 95 97 99 106 0.954930 0.9890 NonOverlappingTemplate 97 98 93 93 103 107 102 109 97 101 0.976878 0.9940 NonOverlappingTemplate 97 115 96 101 120 75 96 94 98 108 0.123755 0.9930 NonOverlappingTemplate 90 92 104 99 97 104 110 108 85 111 0.620465 0.9930 NonOverlappingTemplate 93 90 118 98 97 96 96 100 92 120 0.365253 0.9840 NonOverlappingTemplate 103 91 96 111 83 96 114 103 87 116 0.235589 0.9860 NonOverlappingTemplate 90 80 107 96 101 108 83 126 104 105 0.059734 0.9900 NonOverlappingTemplate 92 114 92 101 100 104 110 96 93 98 0.825505 0.9860 NonOverlappingTemplate 99 71 102 111 96 95 106 92 122 106 0.061260 0.9910 NonOverlappingTemplate 113 85 103 90 91 108 95 109 98 108 0.512137 0.9880 NonOverlappingTemplate 116 105 89 97 92 111 101 87 101 101 0.566688 0.9860 NonOverlappingTemplate 96 93 127 90 93 95 99 97 101 109 0.304126 0.9950 NonOverlappingTemplate 104 104 85 95 111 102 77 102 110 110 0.249284 0.9950 NonOverlappingTemplate 81 92 105 90 122 94 102 110 106 98 0.205531 0.9890 NonOverlappingTemplate 101 96 96 106 106 95 104 106 100 90 0.971006 0.9830 NonOverlappingTemplate 102 104 75 110 108 95 100 106 90 110 0.296834 0.9910 NonOverlappingTemplate 105 84 92 109 101 93 113 112 105 86 0.342451 0.9870 NonOverlappingTemplate 94 105 106 118 97 93 93 101 99 94 0.773405 0.9910 NonOverlappingTemplate 93 97 89 91 118 100 106 93 108 105 0.576961 0.9820 NonOverlappingTemplate 111 94 77 98 112 89 98 107 107 107 0.271619 0.9940 NonOverlappingTemplate 114 80 90 123 104 87 93 97 112 100 0.064418 0.9890 NonOverlappingTemplate 94 112 105 89 109 102 110 97 100 82 0.490483 0.9920 NonOverlappingTemplate 106 104 97 110 108 97 85 93 117 83 0.285427 0.9880 NonOverlappingTemplate 102 120 103 91 99 97 94 95 92 107 0.660012 0.9910 NonOverlappingTemplate 92 106 100 121 86 89 101 97 106 102 0.429923 0.9910 NonOverlappingTemplate 112 108 85 100 108 110 93 96 92 96 0.593478 0.9880 NonOverlappingTemplate 91 102 100 95 91 97 113 96 108 107 0.836048 0.9870 NonOverlappingTemplate 75 104 107 97 93 109 97 113 105 100 0.325206 0.9980 NonOverlappingTemplate 93 74 106 101 108 95 109 100 107 107 0.326749 0.9870 NonOverlappingTemplate 117 105 91 95 106 97 91 94 105 99 0.731886 0.9920 NonOverlappingTemplate 112 95 97 89 117 87 99 99 100 105 0.550347 0.9890 NonOverlappingTemplate 110 103 97 108 94 121 86 99 94 88 0.322135 0.9920 NonOverlappingTemplate 104 90 99 105 96 104 94 92 104 112 0.887645 0.9930 NonOverlappingTemplate 103 91 109 98 115 114 86 96 83 105 0.260930 0.9960 NonOverlappingTemplate 117 93 94 77 109 87 107 108 106 102 0.159910 0.9900 NonOverlappingTemplate 101 87 106 107 96 89 100 105 115 94 0.660012 0.9910 NonOverlappingTemplate 95 109 99 102 92 109 87 105 100 102 0.872425 0.9900 NonOverlappingTemplate 113 97 102 107 95 86 98 89 109 104 0.664168 0.9880 NonOverlappingTemplate 99 107 108 100 105 102 97 90 122 70 0.059734 0.9860 NonOverlappingTemplate 94 105 111 96 87 104 99 113 96 95 0.745908 0.9900 NonOverlappingTemplate 84 94 86 108 104 104 114 105 101 100 0.528111 0.9920 NonOverlappingTemplate 95 101 104 86 119 92 100 93 93 117 0.311542 0.9930 NonOverlappingTemplate 95 108 105 97 85 103 80 103 112 112 0.308561 0.9920 NonOverlappingTemplate 94 109 101 117 95 101 95 87 96 105 0.670396 0.9900 NonOverlappingTemplate 120 93 103 107 93 117 97 91 79 100 0.131122 0.9880 NonOverlappingTemplate 88 101 99 108 88 104 96 109 108 99 0.805569 0.9900 NonOverlappingTemplate 109 99 93 88 107 106 96 112 97 93 0.761719 0.9870 NonOverlappingTemplate 109 101 106 93 103 96 107 86 99 100 0.884671 0.9910 NonOverlappingTemplate 72 96 109 80 106 113 109 117 96 102 0.027313 0.9960 NonOverlappingTemplate 114 89 109 87 86 90 97 121 109 98 0.123038 0.9830 NonOverlappingTemplate 110 115 91 86 86 99 94 121 94 104 0.150340 0.9880 NonOverlappingTemplate 109 99 106 101 104 86 101 91 94 109 0.807412 0.9860 NonOverlappingTemplate 79 106 100 100 103 88 90 99 118 117 0.143686 0.9900 NonOverlappingTemplate 95 89 100 80 104 108 110 107 101 106 0.522100 0.9870 NonOverlappingTemplate 91 99 103 101 80 99 111 102 101 113 0.546283 0.9930 NonOverlappingTemplate 108 113 84 106 89 118 87 89 99 107 0.158133 0.9890 NonOverlappingTemplate 114 115 95 84 95 89 111 94 108 95 0.279844 0.9890 NonOverlappingTemplate 90 90 103 97 98 111 104 91 100 116 0.641284 0.9970 NonOverlappingTemplate 101 100 97 119 108 87 99 100 99 90 0.630872 0.9890 NonOverlappingTemplate 98 94 97 102 96 87 108 113 110 95 0.743915 0.9880 NonOverlappingTemplate 116 87 99 105 100 81 104 95 99 114 0.311542 0.9820 NonOverlappingTemplate 105 117 93 85 121 102 97 105 74 101 0.042255 0.9930 NonOverlappingTemplate 98 89 117 86 103 93 98 99 107 110 0.512137 0.9940 NonOverlappingTemplate 97 108 96 103 99 101 96 106 102 92 0.987896 0.9900 NonOverlappingTemplate 85 93 85 99 116 111 107 105 107 92 0.301194 0.9950 NonOverlappingTemplate 101 102 97 93 90 100 111 109 89 108 0.788728 0.9920 NonOverlappingTemplate 113 117 105 95 91 107 104 100 92 76 0.165340 0.9860 NonOverlappingTemplate 106 82 101 114 98 100 107 86 104 102 0.508172 0.9860 NonOverlappingTemplate 89 94 103 101 98 109 96 107 100 103 0.953089 0.9910 NonOverlappingTemplate 95 96 85 113 96 98 102 102 110 103 0.767582 0.9960 NonOverlappingTemplate 111 102 92 109 103 92 104 85 99 103 0.745908 0.9910 NonOverlappingTemplate 108 114 102 107 77 97 106 83 106 100 0.206629 0.9890 NonOverlappingTemplate 107 84 106 104 108 114 94 95 86 102 0.457825 0.9840 NonOverlappingTemplate 92 106 96 87 96 85 107 103 121 107 0.293952 0.9920 NonOverlappingTemplate 98 93 102 103 104 104 90 109 115 82 0.506194 0.9910 NonOverlappingTemplate 106 95 106 78 100 111 91 112 92 109 0.295391 0.9880 NonOverlappingTemplate 115 92 102 95 94 110 72 103 115 102 0.097743 0.9880 NonOverlappingTemplate 104 108 97 100 103 111 86 95 105 91 0.792508 0.9900 NonOverlappingTemplate 97 96 99 97 99 101 105 91 105 110 0.975644 0.9880 NonOverlappingTemplate 90 90 110 98 104 105 97 112 105 89 0.695200 0.9920 NonOverlappingTemplate 91 113 115 94 101 91 94 95 99 107 0.632955 0.9910 NonOverlappingTemplate 106 109 92 95 101 100 97 94 115 91 0.781106 0.9870 NonOverlappingTemplate 114 106 87 106 107 93 91 99 102 95 0.693142 0.9920 NonOverlappingTemplate 80 98 92 107 97 106 108 106 93 113 0.455937 0.9970 NonOverlappingTemplate 93 96 98 108 101 117 92 96 92 107 0.723804 0.9940 NonOverlappingTemplate 95 100 95 128 93 90 113 102 94 90 0.166260 0.9890 NonOverlappingTemplate 119 105 108 108 83 106 89 97 101 84 0.199045 0.9820 NonOverlappingTemplate 118 103 96 82 104 100 107 86 92 112 0.248014 0.9930 NonOverlappingTemplate 104 92 102 88 116 87 92 102 109 108 0.469232 0.9880 NonOverlappingTemplate 105 81 107 92 93 118 100 98 106 100 0.426272 0.9950 NonOverlappingTemplate 109 84 92 90 117 104 103 104 111 86 0.244236 0.9890 NonOverlappingTemplate 99 100 100 98 102 100 134 94 85 88 0.073417 0.9870 NonOverlappingTemplate 110 88 111 115 93 89 85 107 107 95 0.270265 0.9920 NonOverlappingTemplate 104 105 105 102 80 109 105 93 97 100 0.705466 0.9850 NonOverlappingTemplate 105 111 88 98 108 81 110 112 84 103 0.197981 0.9940 NonOverlappingTemplate 94 112 106 87 111 101 110 98 99 82 0.404728 0.9920 NonOverlappingTemplate 103 85 95 88 113 104 98 116 90 108 0.340858 0.9910 OverlappingTemplate 113 106 112 87 80 101 93 99 89 120 0.093720 0.9920 Universal 99 89 103 95 97 85 107 109 102 114 0.616305 0.9900 ApproximateEntropy 77 61 65 75 74 56 49 65 49 53 0.060443 0.9936 RandomExcursions 52 61 83 80 57 63 57 63 48 60 0.034801 0.9936 RandomExcursions 60 50 70 65 62 63 68 51 65 70 0.606921 0.9904 RandomExcursions 62 56 50 54 77 76 80 53 51 65 0.022339 0.9856 RandomExcursions 72 62 72 51 73 58 61 62 61 52 0.434302 0.9808 RandomExcursions 59 61 69 59 61 73 68 58 48 68 0.570262 0.9952 RandomExcursions 77 62 52 57 54 66 66 63 61 66 0.586874 0.9920 RandomExcursions 62 55 60 58 67 63 74 59 61 65 0.900479 0.9904 RandomExcursions 63 54 59 61 61 68 77 62 54 59 0.655888 0.9887 RandomExcursionsVariant 56 60 56 61 59 83 57 69 62 55 0.292942 0.9838 RandomExcursionsVariant 54 60 65 50 68 77 60 59 63 62 0.511193 0.9871 RandomExcursionsVariant 53 58 72 47 67 60 71 71 64 55 0.274587 0.9838 RandomExcursionsVariant 53 63 60 62 74 64 58 60 59 65 0.871062 0.9838 RandomExcursionsVariant 53 58 60 70 52 67 58 69 65 66 0.706708 0.9919 RandomExcursionsVariant 58 66 58 58 58 60 59 73 56 72 0.756207 0.9919 RandomExcursionsVariant 59 64 67 62 57 55 62 63 59 70 0.958157 0.9935 RandomExcursionsVariant 64 67 53 57 65 63 70 62 63 54 0.868473 0.9887 RandomExcursionsVariant 65 50 62 69 49 66 69 61 59 68 0.534146 0.9887 RandomExcursionsVariant 56 57 73 56 51 80 61 60 56 68 0.200678 0.9903 RandomExcursionsVariant 54 77 64 57 73 48 67 52 69 57 0.130727 0.9887 RandomExcursionsVariant 61 65 69 66 70 56 58 54 55 64 0.821262 0.9887 RandomExcursionsVariant 63 53 82 71 49 67 60 54 51 68 0.062885 0.9887 RandomExcursionsVariant 65 56 68 76 49 58 64 57 50 75 0.150396 0.9935 RandomExcursionsVariant 64 60 62 56 62 70 61 63 64 56 0.979300 0.9919 RandomExcursionsVariant 64 60 64 55 57 60 59 69 69 61 0.949070 0.9935 RandomExcursionsVariant 56 61 70 55 60 64 52 64 64 72 0.730035 0.9903 RandomExcursionsVariant 108 93 85 110 102 93 100 110 101 98 0.743915 0.9870 Serial 106 97 99 91 99 105 104 82 104 113 0.660012 0.9890 Serial 113 87 106 90 95 98 104 106 98 103 0.771469 0.9910 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. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -