------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 93 104 101 93 115 102 108 89 102 93 0.757790 0.9880 Frequency 86 96 107 106 103 107 107 103 99 86 0.729870 0.9920 BlockFrequency 92 108 101 86 101 105 112 106 93 96 0.743915 0.9870 CumulativeSums 90 101 100 99 108 96 114 90 99 103 0.844641 0.9890 CumulativeSums 125 88 102 101 99 107 101 86 103 88 0.228367 0.9860 Runs 118 96 104 113 101 95 119 80 96 78 0.033807 0.9880 LongestRun 101 99 105 98 123 86 85 100 109 94 0.277082 0.9910 Rank 100 112 91 85 102 103 112 103 93 99 0.672470 0.9900 FFT 94 102 100 95 111 101 77 101 122 97 0.207730 0.9920 NonOverlappingTemplate 108 108 98 99 116 86 101 84 100 100 0.492436 0.9860 NonOverlappingTemplate 88 109 94 104 106 119 82 72 106 120 0.008326 0.9920 NonOverlappingTemplate 109 107 91 88 111 111 91 100 101 91 0.574903 0.9920 NonOverlappingTemplate 115 78 93 93 96 104 97 109 103 112 0.288249 0.9900 NonOverlappingTemplate 90 101 94 87 102 106 95 99 121 105 0.496351 0.9880 NonOverlappingTemplate 90 113 82 101 108 116 99 86 99 106 0.244236 0.9880 NonOverlappingTemplate 104 101 115 83 102 97 78 110 106 104 0.224821 0.9860 NonOverlappingTemplate 96 108 108 98 111 95 102 93 92 97 0.897763 0.9930 NonOverlappingTemplate 108 90 95 106 88 117 108 102 91 95 0.502247 0.9820 NonOverlappingTemplate 91 96 101 108 109 87 113 100 91 104 0.660012 0.9840 NonOverlappingTemplate 94 109 92 86 105 99 104 117 102 92 0.558502 0.9920 NonOverlappingTemplate 105 96 110 117 92 110 90 96 87 97 0.448424 0.9910 NonOverlappingTemplate 94 112 84 100 98 109 108 94 104 97 0.693142 0.9910 NonOverlappingTemplate 110 103 106 98 108 96 95 108 87 89 0.731886 0.9840 NonOverlappingTemplate 117 97 88 86 93 105 106 98 101 109 0.500279 0.9900 NonOverlappingTemplate 104 103 95 104 100 93 113 100 99 89 0.907419 0.9910 NonOverlappingTemplate 100 101 93 98 103 100 97 107 103 98 0.998169 0.9900 NonOverlappingTemplate 98 98 104 92 100 109 100 91 99 109 0.950247 0.9890 NonOverlappingTemplate 101 109 105 101 113 84 105 92 96 94 0.664168 0.9930 NonOverlappingTemplate 97 87 93 122 89 106 96 90 103 117 0.170922 0.9890 NonOverlappingTemplate 103 99 84 114 103 107 98 94 100 98 0.775337 0.9880 NonOverlappingTemplate 99 112 109 90 97 119 88 86 103 97 0.308561 0.9870 NonOverlappingTemplate 103 108 106 104 113 96 107 86 90 87 0.510153 0.9940 NonOverlappingTemplate 106 108 110 103 92 102 82 89 99 109 0.530120 0.9950 NonOverlappingTemplate 100 109 97 98 118 99 82 103 96 98 0.562591 0.9840 NonOverlappingTemplate 76 99 85 101 115 105 100 109 101 109 0.204439 0.9900 NonOverlappingTemplate 94 93 100 100 116 89 97 119 95 97 0.469232 0.9880 NonOverlappingTemplate 95 108 109 97 97 108 102 96 92 96 0.940080 0.9890 NonOverlappingTemplate 113 98 106 91 112 84 107 108 89 92 0.360287 0.9850 NonOverlappingTemplate 109 90 91 109 110 103 110 85 89 104 0.424453 0.9870 NonOverlappingTemplate 100 99 98 104 106 103 92 94 108 96 0.981940 0.9880 NonOverlappingTemplate 105 94 116 115 108 92 99 90 99 82 0.278461 0.9900 NonOverlappingTemplate 93 119 101 109 88 97 78 105 105 105 0.211064 0.9900 NonOverlappingTemplate 102 101 81 103 104 98 107 104 112 88 0.587274 0.9880 NonOverlappingTemplate 118 80 78 115 97 95 89 101 116 111 0.020131 0.9880 NonOverlappingTemplate 93 105 116 106 95 102 91 92 92 108 0.670396 0.9920 NonOverlappingTemplate 111 83 99 118 105 90 96 112 96 90 0.251837 0.9890 NonOverlappingTemplate 94 107 106 118 87 94 103 96 95 100 0.637119 0.9930 NonOverlappingTemplate 79 104 111 107 113 93 108 87 94 104 0.255705 0.9910 NonOverlappingTemplate 109 89 92 94 124 87 112 103 109 81 0.058612 0.9860 NonOverlappingTemplate 93 105 111 101 91 74 119 98 110 98 0.114712 0.9940 NonOverlappingTemplate 89 94 117 80 95 114 91 91 100 129 0.014051 0.9850 NonOverlappingTemplate 103 91 125 87 98 97 90 107 107 95 0.262249 0.9880 NonOverlappingTemplate 98 114 115 101 99 94 79 86 107 107 0.214439 0.9850 NonOverlappingTemplate 137 99 100 73 102 88 93 109 108 91 0.002737 0.9880 NonOverlappingTemplate 107 105 98 101 97 93 108 94 100 97 0.981940 0.9880 NonOverlappingTemplate 102 89 108 103 113 94 127 105 75 84 0.015707 0.9810 * NonOverlappingTemplate 113 90 107 110 94 92 98 103 91 102 0.723804 0.9880 NonOverlappingTemplate 96 93 113 119 92 110 100 98 87 92 0.353733 0.9900 NonOverlappingTemplate 109 104 104 100 87 111 90 102 90 103 0.723804 0.9890 NonOverlappingTemplate 112 104 97 82 100 100 104 111 91 99 0.624627 0.9920 NonOverlappingTemplate 83 108 86 87 100 107 108 116 96 109 0.222480 0.9940 NonOverlappingTemplate 99 111 106 99 98 102 89 95 100 101 0.958485 0.9880 NonOverlappingTemplate 94 117 98 115 81 104 111 100 84 96 0.152044 0.9890 NonOverlappingTemplate 89 89 113 100 119 98 99 101 90 102 0.454053 0.9850 NonOverlappingTemplate 104 87 106 93 92 105 107 112 98 96 0.767582 0.9890 NonOverlappingTemplate 117 88 103 114 105 88 91 101 88 105 0.305599 0.9900 NonOverlappingTemplate 106 99 100 109 87 104 115 102 80 98 0.404728 0.9840 NonOverlappingTemplate 114 105 109 100 109 82 98 97 91 95 0.508172 0.9920 NonOverlappingTemplate 102 94 86 102 113 115 95 93 103 97 0.610070 0.9840 NonOverlappingTemplate 110 97 97 100 89 110 88 107 111 91 0.601766 0.9920 NonOverlappingTemplate 102 100 107 109 97 96 92 88 114 95 0.751866 0.9870 NonOverlappingTemplate 92 128 83 108 87 112 85 93 104 108 0.028056 0.9900 NonOverlappingTemplate 95 89 114 105 108 118 88 93 95 95 0.352107 0.9890 NonOverlappingTemplate 109 105 106 102 93 96 92 103 98 96 0.962688 0.9920 NonOverlappingTemplate 107 110 79 77 82 103 125 99 103 115 0.005932 0.9890 NonOverlappingTemplate 111 101 86 83 90 111 99 114 99 106 0.302657 0.9890 NonOverlappingTemplate 106 86 95 97 84 110 101 113 107 101 0.492436 0.9910 NonOverlappingTemplate 119 95 93 106 98 90 99 116 102 82 0.236810 0.9900 NonOverlappingTemplate 88 94 99 106 105 77 119 113 116 83 0.030197 0.9910 NonOverlappingTemplate 102 122 89 99 93 115 107 76 96 101 0.084037 0.9910 NonOverlappingTemplate 113 102 101 92 110 106 98 93 88 97 0.759756 0.9860 NonOverlappingTemplate 115 106 109 104 92 99 93 96 88 98 0.703417 0.9890 NonOverlappingTemplate 94 102 100 96 111 101 75 102 123 96 0.140453 0.9920 NonOverlappingTemplate 93 103 86 109 106 104 107 98 103 91 0.807412 0.9880 NonOverlappingTemplate 107 91 117 95 84 89 109 93 116 99 0.208837 0.9910 NonOverlappingTemplate 106 102 102 89 85 108 96 104 105 103 0.816537 0.9890 NonOverlappingTemplate 93 92 105 89 103 107 107 103 97 104 0.911413 0.9910 NonOverlappingTemplate 106 96 117 109 90 103 93 98 94 94 0.682823 0.9880 NonOverlappingTemplate 85 105 81 108 88 114 97 119 92 111 0.073417 0.9920 NonOverlappingTemplate 113 107 96 85 93 93 100 98 103 112 0.622546 0.9920 NonOverlappingTemplate 104 89 92 91 106 110 98 102 90 118 0.484646 0.9890 NonOverlappingTemplate 95 97 108 96 101 95 113 110 84 101 0.672470 0.9910 NonOverlappingTemplate 75 106 88 105 102 102 112 105 104 101 0.331408 0.9920 NonOverlappingTemplate 93 95 110 118 97 96 106 103 86 96 0.554420 0.9870 NonOverlappingTemplate 93 89 110 96 105 96 94 104 124 89 0.292519 0.9910 NonOverlappingTemplate 107 106 118 79 88 97 107 106 104 88 0.187581 0.9930 NonOverlappingTemplate 111 87 109 99 91 104 103 100 108 88 0.651693 0.9890 NonOverlappingTemplate 99 102 107 102 84 94 110 106 95 101 0.823725 0.9920 NonOverlappingTemplate 97 119 79 104 93 105 112 101 93 97 0.272977 0.9940 NonOverlappingTemplate 114 113 99 91 91 94 112 91 81 114 0.142872 0.9890 NonOverlappingTemplate 91 121 93 81 89 90 112 122 100 101 0.037320 0.9910 NonOverlappingTemplate 86 99 106 101 89 107 96 119 105 92 0.465415 0.9870 NonOverlappingTemplate 112 95 94 104 111 90 93 102 90 109 0.662091 0.9900 NonOverlappingTemplate 116 98 115 77 96 110 96 105 90 97 0.171867 0.9820 NonOverlappingTemplate 132 89 95 105 117 105 95 85 88 89 0.016488 0.9930 NonOverlappingTemplate 105 92 104 85 85 94 112 116 105 102 0.334538 0.9870 NonOverlappingTemplate 102 94 104 123 97 92 96 114 88 90 0.266235 0.9920 NonOverlappingTemplate 100 88 97 102 95 108 92 113 109 96 0.763677 0.9870 NonOverlappingTemplate 104 102 97 95 111 104 103 117 85 82 0.320607 0.9900 NonOverlappingTemplate 111 89 120 97 100 86 95 118 84 100 0.104993 0.9870 NonOverlappingTemplate 110 95 87 105 89 86 111 109 104 104 0.465415 0.9910 NonOverlappingTemplate 100 114 92 96 91 108 103 87 105 104 0.699313 0.9960 NonOverlappingTemplate 101 112 100 98 111 89 105 109 81 94 0.442831 0.9930 NonOverlappingTemplate 112 109 107 95 103 103 93 81 98 99 0.603841 0.9860 NonOverlappingTemplate 97 96 91 104 83 98 98 103 111 119 0.428095 0.9880 NonOverlappingTemplate 110 109 99 94 106 92 100 95 101 94 0.924076 0.9850 NonOverlappingTemplate 109 108 96 116 96 86 98 112 90 89 0.352107 0.9890 NonOverlappingTemplate 102 96 94 102 92 92 99 100 122 101 0.664168 0.9940 NonOverlappingTemplate 92 110 92 96 90 104 101 108 88 119 0.410055 0.9950 NonOverlappingTemplate 100 101 109 84 114 93 106 94 83 116 0.213309 0.9910 NonOverlappingTemplate 112 104 94 91 92 113 84 113 90 107 0.286836 0.9930 NonOverlappingTemplate 100 99 95 102 111 96 103 98 100 96 0.992084 0.9870 NonOverlappingTemplate 90 105 93 106 88 90 102 109 109 108 0.653773 0.9920 NonOverlappingTemplate 106 97 111 110 95 100 90 100 94 97 0.886162 0.9960 NonOverlappingTemplate 100 98 85 106 106 108 105 102 104 86 0.733899 0.9920 NonOverlappingTemplate 90 92 133 93 101 103 105 95 92 96 0.108150 0.9900 NonOverlappingTemplate 108 108 100 103 95 109 101 92 93 91 0.884671 0.9920 NonOverlappingTemplate 94 94 114 111 100 113 81 95 104 94 0.353733 0.9880 NonOverlappingTemplate 111 108 89 87 100 101 102 117 91 94 0.450297 0.9890 NonOverlappingTemplate 101 106 82 96 119 83 96 115 108 94 0.134172 0.9850 NonOverlappingTemplate 101 103 93 102 119 110 91 94 97 90 0.585209 0.9920 NonOverlappingTemplate 101 94 87 84 91 120 114 97 106 106 0.202268 0.9900 NonOverlappingTemplate 105 116 91 89 118 110 84 89 92 106 0.128132 0.9850 NonOverlappingTemplate 110 96 93 89 90 102 116 84 104 116 0.228367 0.9910 NonOverlappingTemplate 97 113 108 93 92 90 124 88 91 104 0.175691 0.9930 NonOverlappingTemplate 99 104 87 97 92 94 123 93 100 111 0.355364 0.9900 NonOverlappingTemplate 89 105 90 111 99 102 107 91 106 100 0.800005 0.9910 NonOverlappingTemplate 102 97 95 101 102 103 91 100 105 104 0.994944 0.9900 NonOverlappingTemplate 103 91 104 123 97 92 80 106 105 99 0.230755 0.9940 NonOverlappingTemplate 110 88 99 112 109 98 100 97 86 101 0.657933 0.9830 NonOverlappingTemplate 100 106 98 102 106 86 74 105 121 102 0.114712 0.9900 NonOverlappingTemplate 120 94 94 114 109 94 95 89 105 86 0.241741 0.9910 NonOverlappingTemplate 103 104 94 122 108 91 99 98 81 100 0.307077 0.9840 NonOverlappingTemplate 89 89 84 121 98 103 110 90 116 100 0.119508 0.9960 NonOverlappingTemplate 115 105 84 96 87 84 112 119 91 107 0.070737 0.9890 NonOverlappingTemplate 99 111 98 106 93 89 109 93 110 92 0.713641 0.9940 NonOverlappingTemplate 106 88 104 101 106 116 88 101 102 88 0.552383 0.9910 NonOverlappingTemplate 100 106 116 100 93 98 99 91 96 101 0.880145 0.9880 NonOverlappingTemplate 102 98 101 93 107 114 89 107 94 95 0.803720 0.9880 NonOverlappingTemplate 125 107 107 112 91 102 89 80 96 91 0.073417 0.9880 NonOverlappingTemplate 99 101 100 109 106 102 83 102 89 109 0.721777 0.9870 NonOverlappingTemplate 107 93 109 111 103 100 107 96 82 92 0.572847 0.9910 NonOverlappingTemplate 102 108 106 86 88 97 95 98 118 102 0.524101 0.9890 NonOverlappingTemplate 98 119 90 91 113 93 103 115 98 80 0.121616 0.9930 NonOverlappingTemplate 99 89 119 83 105 104 104 85 106 106 0.258307 0.9910 NonOverlappingTemplate 116 104 110 106 91 98 93 97 87 98 0.612147 0.9890 NonOverlappingTemplate 104 111 107 102 108 88 99 98 83 100 0.645448 0.9880 OverlappingTemplate 107 97 108 95 90 108 105 101 100 89 0.869278 0.9900 Universal 111 102 97 90 108 109 87 102 96 98 0.767582 0.9890 ApproximateEntropy 56 65 78 61 70 58 57 52 55 63 0.425257 0.9919 RandomExcursions 53 51 57 70 61 74 58 62 65 64 0.572544 0.9902 RandomExcursions 75 59 53 56 60 79 61 58 54 60 0.273468 0.9854 RandomExcursions 69 66 58 64 47 65 65 61 56 64 0.734986 0.9902 RandomExcursions 56 62 68 61 59 62 70 70 51 56 0.738276 0.9837 RandomExcursions 68 63 52 57 60 69 62 56 69 59 0.828555 0.9886 RandomExcursions 49 65 75 63 65 52 64 56 68 58 0.437274 0.9967 RandomExcursions 70 55 59 45 55 71 67 60 59 74 0.221755 0.9919 RandomExcursions 63 47 71 64 55 85 64 60 52 54 0.042900 0.9902 RandomExcursionsVariant 55 59 65 66 68 61 60 62 65 54 0.954496 0.9902 RandomExcursionsVariant 54 63 66 59 66 74 58 51 64 60 0.691554 0.9919 RandomExcursionsVariant 62 62 59 67 64 66 77 48 52 58 0.376284 0.9919 RandomExcursionsVariant 64 62 67 70 70 49 56 63 69 45 0.243497 0.9854 RandomExcursionsVariant 64 67 73 59 57 63 58 62 56 56 0.877436 0.9902 RandomExcursionsVariant 68 73 68 60 55 52 61 59 58 61 0.728381 0.9902 RandomExcursionsVariant 58 77 77 75 42 42 52 53 55 84 0.000054 * 0.9886 RandomExcursionsVariant 67 78 64 57 55 62 74 50 56 52 0.170166 0.9935 RandomExcursionsVariant 53 72 66 62 47 68 66 63 50 68 0.294117 0.9935 RandomExcursionsVariant 52 70 70 52 48 57 69 64 67 66 0.308488 0.9902 RandomExcursionsVariant 54 44 74 58 59 58 71 67 71 59 0.181232 0.9886 RandomExcursionsVariant 44 54 61 77 53 66 66 65 61 68 0.178012 0.9886 RandomExcursionsVariant 49 60 56 59 70 64 68 66 61 62 0.783269 0.9870 RandomExcursionsVariant 59 44 66 58 68 62 58 65 72 63 0.471209 0.9886 RandomExcursionsVariant 61 62 59 62 57 57 63 70 70 54 0.901436 0.9902 RandomExcursionsVariant 71 59 58 57 63 70 53 64 62 58 0.845588 0.9870 RandomExcursionsVariant 61 67 58 59 63 64 58 54 66 65 0.976898 0.9902 RandomExcursionsVariant 88 87 107 88 110 106 86 87 127 114 0.022605 0.9910 Serial 93 100 107 91 96 105 100 95 103 110 0.939005 0.9930 Serial 95 86 113 111 114 78 112 99 86 106 0.073872 0.9900 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 0.979568 for a sample size = 615 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -