------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 97 100 94 84 99 108 99 98 121 100 0.522100 0.9960 Frequency 94 98 109 106 81 102 106 111 101 92 0.591409 0.9940 BlockFrequency 100 103 110 94 100 104 92 96 92 109 0.920383 0.9960 CumulativeSums 103 98 81 91 104 94 95 105 128 101 0.144504 0.9960 CumulativeSums 97 119 94 108 84 74 111 104 115 94 0.035174 0.9940 Runs 98 100 90 120 116 86 105 94 109 82 0.114712 0.9830 LongestRun 91 115 98 102 102 99 112 90 94 97 0.731886 0.9910 Rank 97 132 82 90 114 90 100 94 103 98 0.034942 0.9930 FFT 100 111 108 108 89 86 96 94 105 103 0.686955 0.9880 NonOverlappingTemplate 98 114 90 109 90 108 104 83 92 112 0.305599 0.9930 NonOverlappingTemplate 108 90 101 105 100 95 95 106 109 91 0.884671 0.9840 NonOverlappingTemplate 101 115 90 84 96 108 99 110 102 95 0.542228 0.9910 NonOverlappingTemplate 101 112 106 83 90 133 91 96 95 93 0.031848 0.9930 NonOverlappingTemplate 89 98 107 96 122 105 108 90 90 95 0.360287 0.9970 NonOverlappingTemplate 97 114 102 85 95 92 109 90 111 105 0.484646 0.9890 NonOverlappingTemplate 99 95 98 77 119 97 97 110 97 111 0.231956 0.9900 NonOverlappingTemplate 117 111 101 100 91 95 107 89 95 94 0.587274 0.9810 * NonOverlappingTemplate 110 90 113 105 90 101 102 106 91 92 0.657933 0.9870 NonOverlappingTemplate 111 102 104 95 110 93 102 83 87 113 0.395940 0.9870 NonOverlappingTemplate 90 106 99 100 83 109 116 98 96 103 0.542228 0.9880 NonOverlappingTemplate 108 93 90 101 103 97 110 102 96 100 0.940080 0.9930 NonOverlappingTemplate 103 98 113 92 94 94 103 102 96 105 0.928857 0.9880 NonOverlappingTemplate 100 97 105 107 111 100 84 93 100 103 0.818343 0.9900 NonOverlappingTemplate 106 96 99 91 105 105 100 100 108 90 0.942198 0.9860 NonOverlappingTemplate 100 99 107 114 117 95 100 95 79 94 0.302657 0.9890 NonOverlappingTemplate 100 95 108 94 109 110 92 89 98 105 0.816537 0.9920 NonOverlappingTemplate 104 127 101 96 104 105 88 89 87 99 0.192724 0.9900 NonOverlappingTemplate 91 103 127 98 90 99 106 118 76 92 0.023228 0.9930 NonOverlappingTemplate 104 102 123 100 90 93 93 103 102 90 0.474986 0.9900 NonOverlappingTemplate 91 100 83 113 94 108 115 96 103 97 0.439122 0.9900 NonOverlappingTemplate 97 93 109 109 91 84 92 109 112 104 0.473064 0.9940 NonOverlappingTemplate 109 102 117 86 96 102 103 95 90 100 0.612147 0.9940 NonOverlappingTemplate 96 97 99 98 117 113 101 95 85 99 0.595549 0.9920 NonOverlappingTemplate 99 97 101 116 82 108 85 99 107 106 0.378705 0.9940 NonOverlappingTemplate 96 89 98 98 99 106 96 124 101 93 0.510153 0.9920 NonOverlappingTemplate 92 91 106 109 99 106 92 99 111 95 0.825505 0.9910 NonOverlappingTemplate 99 106 93 92 101 89 97 104 119 100 0.680755 0.9790 * NonOverlappingTemplate 95 97 87 117 106 115 81 111 91 100 0.155499 0.9920 NonOverlappingTemplate 93 106 96 90 93 91 121 107 106 97 0.469232 0.9870 NonOverlappingTemplate 100 105 84 104 104 100 102 116 94 91 0.647530 0.9960 NonOverlappingTemplate 83 92 104 94 89 109 99 126 104 100 0.162606 0.9920 NonOverlappingTemplate 90 108 92 104 99 91 101 113 102 100 0.834308 0.9900 NonOverlappingTemplate 89 109 91 84 101 106 91 97 125 107 0.145326 0.9910 NonOverlappingTemplate 72 118 104 108 121 95 101 91 103 87 0.024028 0.9910 NonOverlappingTemplate 90 98 112 98 82 88 126 121 102 83 0.011383 0.9950 NonOverlappingTemplate 101 82 114 122 113 99 91 103 82 93 0.059358 0.9960 NonOverlappingTemplate 85 102 94 102 100 102 99 99 113 104 0.867692 0.9940 NonOverlappingTemplate 99 92 120 96 112 107 100 87 95 92 0.408275 0.9880 NonOverlappingTemplate 118 112 100 95 93 105 115 96 86 80 0.120909 0.9840 NonOverlappingTemplate 93 95 107 76 101 116 91 108 113 100 0.176657 0.9870 NonOverlappingTemplate 93 117 96 106 97 103 79 104 104 101 0.454053 0.9830 NonOverlappingTemplate 117 100 107 114 100 96 107 95 80 84 0.171867 0.9850 NonOverlappingTemplate 84 98 93 113 95 103 103 102 111 98 0.689019 0.9930 NonOverlappingTemplate 111 104 97 110 84 100 96 98 99 101 0.812905 0.9920 NonOverlappingTemplate 100 99 86 99 103 110 92 86 109 116 0.433590 0.9910 NonOverlappingTemplate 113 103 92 88 105 87 105 96 96 115 0.473064 0.9910 NonOverlappingTemplate 107 111 112 99 104 100 79 104 104 80 0.211064 0.9930 NonOverlappingTemplate 95 98 105 112 112 90 82 107 105 94 0.459717 0.9870 NonOverlappingTemplate 96 99 89 98 109 87 92 108 116 106 0.522100 0.9920 NonOverlappingTemplate 98 113 79 104 98 103 88 113 108 96 0.322135 0.9890 NonOverlappingTemplate 96 103 106 105 95 90 120 108 85 92 0.380407 0.9910 NonOverlappingTemplate 109 94 98 113 80 113 97 107 86 103 0.260930 0.9950 NonOverlappingTemplate 97 102 113 106 93 95 89 94 105 106 0.825505 0.9870 NonOverlappingTemplate 92 95 91 120 112 110 113 88 87 92 0.137282 0.9940 NonOverlappingTemplate 92 106 96 111 102 84 101 99 106 103 0.794391 0.9890 NonOverlappingTemplate 102 88 103 102 92 83 104 103 124 99 0.264901 0.9850 NonOverlappingTemplate 98 109 81 80 92 104 109 114 105 108 0.166260 0.9900 NonOverlappingTemplate 101 111 96 99 100 102 88 99 92 112 0.837781 0.9900 NonOverlappingTemplate 108 91 102 101 117 84 101 102 102 92 0.566688 0.9930 NonOverlappingTemplate 82 85 104 101 111 88 90 120 99 120 0.043934 0.9940 NonOverlappingTemplate 104 102 95 112 88 90 103 99 102 105 0.858002 0.9910 NonOverlappingTemplate 79 112 98 94 106 101 101 128 93 88 0.058984 0.9900 NonOverlappingTemplate 91 100 102 99 92 93 93 94 123 113 0.365253 0.9880 NonOverlappingTemplate 115 107 92 98 101 84 95 99 110 99 0.610070 0.9860 NonOverlappingTemplate 116 99 73 98 91 97 106 103 108 109 0.176657 0.9920 NonOverlappingTemplate 101 107 111 92 97 88 108 107 85 104 0.593478 0.9930 NonOverlappingTemplate 108 105 99 95 105 103 86 97 99 103 0.933472 0.9840 NonOverlappingTemplate 114 100 93 117 95 94 99 107 98 83 0.402962 0.9900 NonOverlappingTemplate 82 100 116 108 90 126 94 89 96 99 0.068145 0.9930 NonOverlappingTemplate 100 100 89 107 81 87 104 120 94 118 0.097743 0.9900 NonOverlappingTemplate 103 103 114 96 108 103 93 95 105 80 0.532132 0.9870 NonOverlappingTemplate 99 106 100 103 110 92 100 100 105 85 0.867692 0.9930 NonOverlappingTemplate 100 112 107 109 87 87 96 94 105 103 0.639202 0.9880 NonOverlappingTemplate 102 98 83 86 91 109 108 114 97 112 0.298282 0.9920 NonOverlappingTemplate 105 95 102 93 92 95 93 121 94 110 0.516113 0.9910 NonOverlappingTemplate 94 90 106 107 87 94 108 118 110 86 0.268917 0.9880 NonOverlappingTemplate 114 103 114 105 104 98 87 89 102 84 0.353733 0.9890 NonOverlappingTemplate 84 98 100 120 89 94 108 119 96 92 0.152902 0.9960 NonOverlappingTemplate 104 113 97 102 104 94 83 92 103 108 0.662091 0.9880 NonOverlappingTemplate 82 91 98 102 103 105 113 105 100 101 0.697257 0.9870 NonOverlappingTemplate 109 101 104 111 92 92 104 107 90 90 0.727851 0.9880 NonOverlappingTemplate 91 89 100 90 104 89 91 109 132 105 0.057146 0.9890 NonOverlappingTemplate 95 97 109 96 95 93 93 101 119 102 0.719747 0.9940 NonOverlappingTemplate 89 91 107 96 101 91 126 87 104 108 0.174728 0.9940 NonOverlappingTemplate 101 92 125 116 105 108 78 106 90 79 0.012829 0.9830 NonOverlappingTemplate 101 86 101 111 85 104 96 110 98 108 0.591409 0.9900 NonOverlappingTemplate 88 116 96 102 92 106 108 99 95 98 0.725829 0.9940 NonOverlappingTemplate 83 105 100 92 117 112 107 97 89 98 0.355364 0.9950 NonOverlappingTemplate 116 104 119 101 96 90 93 117 79 85 0.040901 0.9890 NonOverlappingTemplate 102 104 101 114 88 104 83 106 110 88 0.395940 0.9850 NonOverlappingTemplate 116 103 94 111 102 90 96 99 105 84 0.510153 0.9850 NonOverlappingTemplate 98 87 90 113 99 91 109 92 137 84 0.006332 0.9910 NonOverlappingTemplate 89 99 93 115 103 109 109 96 78 109 0.244236 0.9900 NonOverlappingTemplate 106 114 93 88 98 105 83 104 101 108 0.510153 0.9890 NonOverlappingTemplate 83 87 95 119 98 102 119 84 105 108 0.076187 0.9940 NonOverlappingTemplate 93 115 103 118 97 99 97 105 82 91 0.307077 0.9930 NonOverlappingTemplate 97 88 120 99 101 107 99 103 107 79 0.272977 0.9890 NonOverlappingTemplate 98 95 111 89 90 105 103 110 103 96 0.807412 0.9900 NonOverlappingTemplate 85 95 105 97 102 110 101 103 95 107 0.858002 0.9960 NonOverlappingTemplate 97 112 101 104 94 91 119 94 78 110 0.177628 0.9910 NonOverlappingTemplate 90 83 97 108 102 122 91 97 101 109 0.260930 0.9890 NonOverlappingTemplate 78 107 92 105 92 120 111 89 98 108 0.123755 0.9910 NonOverlappingTemplate 113 106 98 101 113 112 101 89 88 79 0.196920 0.9890 NonOverlappingTemplate 102 98 105 115 93 102 105 94 93 93 0.859637 0.9870 NonOverlappingTemplate 107 104 98 111 95 109 95 98 86 97 0.807412 0.9900 NonOverlappingTemplate 110 112 98 95 95 98 101 110 96 85 0.695200 0.9880 NonOverlappingTemplate 103 105 112 99 88 97 92 91 100 113 0.693142 0.9890 NonOverlappingTemplate 112 98 97 81 69 111 100 121 114 97 0.007530 0.9870 NonOverlappingTemplate 86 100 72 102 103 124 121 112 100 80 0.002428 0.9930 NonOverlappingTemplate 110 112 91 89 106 103 89 87 106 107 0.469232 0.9870 NonOverlappingTemplate 96 121 97 104 104 94 104 97 92 91 0.632955 0.9950 NonOverlappingTemplate 88 103 110 66 100 100 105 102 114 112 0.037813 0.9920 NonOverlappingTemplate 118 113 100 112 105 79 89 116 83 85 0.018286 0.9880 NonOverlappingTemplate 108 96 83 122 106 104 100 111 88 82 0.092597 0.9820 NonOverlappingTemplate 112 90 96 115 109 94 94 100 92 98 0.630872 0.9920 NonOverlappingTemplate 87 92 105 104 108 114 111 92 86 101 0.422638 0.9860 NonOverlappingTemplate 76 106 111 100 90 109 99 102 90 117 0.159020 0.9900 NonOverlappingTemplate 105 103 102 105 100 103 99 101 90 92 0.983938 0.9890 NonOverlappingTemplate 101 98 93 78 100 108 102 102 119 99 0.373625 0.9930 NonOverlappingTemplate 122 97 109 104 97 100 110 96 81 84 0.148653 0.9820 NonOverlappingTemplate 82 113 110 106 99 105 88 99 85 113 0.216713 0.9950 NonOverlappingTemplate 86 89 111 85 99 104 100 115 111 100 0.329850 0.9960 NonOverlappingTemplate 71 106 100 100 89 113 113 107 112 89 0.057146 0.9960 NonOverlappingTemplate 85 92 91 116 82 89 105 119 107 114 0.048404 0.9980 NonOverlappingTemplate 97 116 86 82 98 105 95 122 103 96 0.142062 0.9930 NonOverlappingTemplate 98 95 98 100 95 113 91 108 114 88 0.624627 0.9920 NonOverlappingTemplate 119 111 100 98 80 108 95 95 88 106 0.224821 0.9910 NonOverlappingTemplate 108 109 95 112 100 97 104 81 87 107 0.420827 0.9950 NonOverlappingTemplate 110 92 102 103 93 89 104 106 108 93 0.823725 0.9900 NonOverlappingTemplate 110 94 92 94 109 90 91 118 100 102 0.508172 0.9850 NonOverlappingTemplate 122 99 94 107 80 93 99 107 93 106 0.240501 0.9850 NonOverlappingTemplate 113 110 86 96 101 98 105 107 79 105 0.329850 0.9840 NonOverlappingTemplate 103 107 97 89 102 100 106 97 94 105 0.965083 0.9980 NonOverlappingTemplate 112 98 96 87 98 102 113 110 87 97 0.546283 0.9920 NonOverlappingTemplate 89 91 95 114 100 88 100 93 107 123 0.216713 0.9940 NonOverlappingTemplate 98 85 89 89 91 106 123 115 108 96 0.114712 0.9930 NonOverlappingTemplate 83 95 113 120 107 101 92 82 100 107 0.133404 0.9970 NonOverlappingTemplate 100 91 103 87 97 112 95 96 107 112 0.693142 0.9840 NonOverlappingTemplate 106 118 99 90 103 100 109 99 89 87 0.492436 0.9860 NonOverlappingTemplate 113 102 110 99 112 105 87 85 95 92 0.413628 0.9870 NonOverlappingTemplate 78 93 97 101 117 114 101 91 114 94 0.144504 0.9940 NonOverlappingTemplate 101 88 82 104 126 88 104 121 86 100 0.020689 0.9900 NonOverlappingTemplate 118 114 95 92 111 98 96 76 93 107 0.114040 0.9850 NonOverlappingTemplate 93 114 97 87 89 88 97 118 96 121 0.097159 0.9910 NonOverlappingTemplate 111 106 113 110 113 85 102 90 94 76 0.081510 0.9910 NonOverlappingTemplate 99 104 102 103 110 91 102 100 104 85 0.870856 0.9930 NonOverlappingTemplate 95 116 104 87 99 108 95 115 93 88 0.371941 0.9880 OverlappingTemplate 97 104 110 97 113 109 92 97 98 83 0.585209 0.9900 Universal 99 100 87 101 105 103 102 100 102 101 0.989055 0.9860 ApproximateEntropy 56 57 56 74 63 68 60 62 61 55 0.803325 0.9886 RandomExcursions 63 59 69 61 42 64 54 68 65 67 0.374898 0.9918 RandomExcursions 56 70 64 67 65 45 63 70 53 59 0.397459 0.9869 RandomExcursions 76 64 37 73 63 55 53 73 69 49 0.005944 0.9886 RandomExcursions 61 58 78 65 64 64 50 62 48 62 0.332227 0.9853 RandomExcursions 67 50 67 58 57 59 60 63 71 60 0.800280 0.9951 RandomExcursions 64 50 62 67 67 77 54 69 55 47 0.154615 0.9935 RandomExcursions 58 64 52 67 63 62 71 61 53 61 0.835735 0.9837 RandomExcursions 44 67 63 70 66 61 70 57 53 61 0.369383 0.9984 RandomExcursionsVariant 43 68 59 63 69 67 64 60 55 64 0.457175 0.9967 RandomExcursionsVariant 39 64 72 55 59 82 69 61 59 52 0.015634 0.9967 RandomExcursionsVariant 40 57 69 68 57 76 63 59 61 62 0.143579 0.9967 RandomExcursionsVariant 43 68 66 53 59 65 64 69 66 59 0.386079 0.9935 RandomExcursionsVariant 40 75 63 73 52 63 68 56 54 68 0.047448 0.9951 RandomExcursionsVariant 53 64 64 66 70 57 64 63 48 63 0.699986 0.9951 RandomExcursionsVariant 59 65 66 59 61 70 54 68 51 59 0.794144 0.9902 RandomExcursionsVariant 67 60 45 62 71 77 55 59 52 64 0.172489 0.9902 RandomExcursionsVariant 74 55 57 58 77 61 63 58 56 53 0.380463 0.9967 RandomExcursionsVariant 60 73 63 72 46 57 62 53 68 58 0.319582 0.9935 RandomExcursionsVariant 57 61 72 70 60 44 68 68 62 50 0.217031 0.9935 RandomExcursionsVariant 57 66 59 78 66 63 45 55 71 52 0.133216 0.9935 RandomExcursionsVariant 63 58 68 64 66 48 56 58 60 71 0.683094 0.9935 RandomExcursionsVariant 52 56 69 66 64 60 54 66 59 66 0.830000 0.9918 RandomExcursionsVariant 56 49 58 61 78 67 57 63 59 64 0.457175 0.9951 RandomExcursionsVariant 58 51 45 69 67 68 67 74 63 50 0.128277 0.9951 RandomExcursionsVariant 61 51 54 56 58 72 71 60 59 70 0.530845 0.9935 RandomExcursionsVariant 91 93 98 101 84 123 106 107 106 91 0.260930 0.9910 Serial 94 86 101 104 99 114 111 95 93 103 0.689019 0.9870 Serial 102 106 108 90 100 85 129 80 90 110 0.027868 0.9890 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 0.979543 for a sample size = 612 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -