------------------------------------------------------------------------------ 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 ------------------------------------------------------------------------------ 16 90 95 126 121 113 107 121 121 90 0.000000 * 1.0000 * Frequency 59 58 51 84 66 83 85 107 136 271 0.000000 * 0.9930 BlockFrequency 19 84 108 119 120 95 89 99 95 172 0.000000 * 1.0000 * CumulativeSums 24 71 100 121 98 102 106 85 131 162 0.000000 * 1.0000 * CumulativeSums 93 110 80 84 97 116 113 93 100 114 0.095426 0.9980 Runs 79 106 87 97 103 118 87 87 118 118 0.019587 0.9880 LongestRun 103 120 92 107 99 103 95 98 91 92 0.630872 0.9900 Rank 121 107 106 101 86 96 113 87 93 90 0.199045 0.9880 FFT 93 97 81 116 114 109 92 96 81 121 0.031428 0.9890 NonOverlappingTemplate 98 110 91 90 85 94 116 95 103 118 0.236810 0.9880 NonOverlappingTemplate 102 95 97 106 105 112 88 102 93 100 0.883171 0.9910 NonOverlappingTemplate 87 94 119 92 85 96 101 113 114 99 0.192724 0.9920 NonOverlappingTemplate 72 97 95 105 125 92 113 92 85 124 0.002322 0.9890 NonOverlappingTemplate 85 84 91 84 113 110 103 86 125 119 0.006710 1.0000 * NonOverlappingTemplate 75 131 125 110 109 104 80 74 100 92 0.000049 * 0.9970 NonOverlappingTemplate 50 81 126 113 112 124 94 99 120 81 0.000000 * 0.9990 * NonOverlappingTemplate 56 81 114 105 132 104 113 109 121 65 0.000000 * 0.9970 NonOverlappingTemplate 41 90 108 111 100 112 134 115 101 88 0.000000 * 1.0000 * NonOverlappingTemplate 68 85 117 132 91 105 86 86 114 116 0.000057 * 0.9990 * NonOverlappingTemplate 91 88 96 86 96 99 104 104 107 129 0.131122 0.9890 NonOverlappingTemplate 48 73 97 98 111 99 108 100 143 123 0.000000 * 0.9940 NonOverlappingTemplate 110 90 87 103 83 102 95 110 110 110 0.353733 0.9840 NonOverlappingTemplate 41 94 106 127 98 125 123 89 96 101 0.000000 * 1.0000 * NonOverlappingTemplate 123 94 94 99 67 87 103 92 131 110 0.000449 0.9940 NonOverlappingTemplate 109 90 113 125 107 118 101 87 66 84 0.000577 0.9900 NonOverlappingTemplate 94 80 84 96 114 123 89 91 86 143 0.000029 * 0.9820 NonOverlappingTemplate 89 80 87 80 101 108 112 94 134 115 0.001316 0.9830 NonOverlappingTemplate 114 91 92 117 103 112 108 91 78 94 0.106246 0.9890 NonOverlappingTemplate 61 70 104 98 93 100 129 128 102 115 0.000002 * 0.9950 NonOverlappingTemplate 82 103 112 145 97 100 92 77 89 103 0.000174 0.9980 NonOverlappingTemplate 157 115 103 94 96 104 74 89 74 94 0.000000 * 0.9900 NonOverlappingTemplate 81 81 92 89 94 107 121 114 135 86 0.000361 0.9920 NonOverlappingTemplate 115 114 113 108 102 104 96 96 90 62 0.007422 0.9870 NonOverlappingTemplate 60 75 91 92 97 89 131 123 110 132 0.000000 * 0.9980 NonOverlappingTemplate 165 139 161 120 97 77 77 58 62 44 0.000000 * 0.9860 NonOverlappingTemplate 126 118 98 97 123 80 92 103 74 89 0.000911 0.9850 NonOverlappingTemplate 58 63 80 116 119 124 107 111 120 102 0.000000 * 0.9970 NonOverlappingTemplate 108 121 110 110 126 84 80 83 72 106 0.000247 0.9780 * NonOverlappingTemplate 60 82 114 83 78 93 107 121 141 121 0.000000 * 0.9990 * NonOverlappingTemplate 94 91 78 96 87 93 115 109 127 110 0.019857 0.9980 NonOverlappingTemplate 111 76 89 101 128 101 104 108 99 83 0.019587 0.9940 NonOverlappingTemplate 51 92 90 103 111 109 114 111 118 101 0.000083 * 0.9930 NonOverlappingTemplate 68 76 82 98 113 123 113 127 117 83 0.000005 * 0.9920 NonOverlappingTemplate 163 116 90 74 90 61 82 93 105 126 0.000000 * 0.9740 * NonOverlappingTemplate 103 117 114 115 119 101 101 99 79 52 0.000016 * 0.9900 NonOverlappingTemplate 99 95 98 108 110 129 93 89 95 84 0.094854 0.9950 NonOverlappingTemplate 145 128 110 100 87 110 94 88 62 76 0.000000 * 0.9970 NonOverlappingTemplate 77 94 71 95 96 105 87 99 118 158 0.000000 * 1.0000 * NonOverlappingTemplate 84 81 108 102 96 121 104 98 116 90 0.086109 0.9990 * NonOverlappingTemplate 90 126 118 111 113 118 90 90 78 66 0.000048 * 1.0000 * NonOverlappingTemplate 86 66 100 110 110 106 91 90 95 146 0.000011 * 0.9970 NonOverlappingTemplate 170 78 80 80 68 89 83 88 131 133 0.000000 * 0.9760 * NonOverlappingTemplate 43 96 122 120 117 111 104 99 102 86 0.000000 * 0.9990 * NonOverlappingTemplate 71 80 103 78 96 108 93 99 129 143 0.000001 * 0.9950 NonOverlappingTemplate 126 101 69 92 101 95 99 100 119 98 0.012920 0.9900 NonOverlappingTemplate 123 102 101 108 93 101 96 84 75 117 0.031428 0.9910 NonOverlappingTemplate 214 103 104 85 88 96 75 66 93 76 0.000000 * 0.9860 NonOverlappingTemplate 69 106 102 114 97 118 116 111 100 67 0.000446 0.9840 NonOverlappingTemplate 85 101 88 107 94 100 109 103 96 117 0.484646 0.9890 NonOverlappingTemplate 85 97 111 110 91 84 72 106 89 155 0.000000 * 0.9970 NonOverlappingTemplate 96 144 109 104 93 92 89 95 84 94 0.002043 0.9980 NonOverlappingTemplate 107 106 105 128 122 104 95 71 82 80 0.000467 0.9930 NonOverlappingTemplate 46 74 97 106 135 125 127 114 77 99 0.000000 * 1.0000 * NonOverlappingTemplate 96 100 80 87 115 99 102 110 116 95 0.215574 0.9860 NonOverlappingTemplate 133 114 138 129 121 111 91 73 69 21 0.000000 * 0.9810 * NonOverlappingTemplate 62 68 93 123 104 97 103 123 117 110 0.000008 * 0.9960 NonOverlappingTemplate 90 84 85 101 105 102 112 107 94 120 0.191687 0.9720 * NonOverlappingTemplate 97 99 97 70 98 96 117 100 97 129 0.013664 0.9900 NonOverlappingTemplate 117 99 76 85 114 127 114 111 89 68 0.000065 * 0.9830 NonOverlappingTemplate 124 113 115 109 121 106 89 84 68 71 0.000020 * 0.9920 NonOverlappingTemplate 110 91 91 99 99 109 84 123 102 92 0.214439 0.9910 NonOverlappingTemplate 131 130 114 96 120 97 94 89 91 38 0.000000 * 0.9940 NonOverlappingTemplate 99 82 104 95 115 100 102 110 107 86 0.401199 0.9930 NonOverlappingTemplate 63 71 106 87 107 114 118 123 97 114 0.000024 * 0.9970 NonOverlappingTemplate 85 91 86 99 107 112 87 135 102 96 0.012214 0.9860 NonOverlappingTemplate 57 93 117 103 81 115 95 108 105 126 0.000044 * 0.9990 * NonOverlappingTemplate 126 111 74 99 108 117 113 106 85 61 0.000019 * 0.9940 NonOverlappingTemplate 56 100 100 83 112 124 113 120 106 86 0.000022 * 0.9980 NonOverlappingTemplate 120 93 93 72 90 97 106 101 119 109 0.027868 0.9960 NonOverlappingTemplate 95 100 119 112 98 96 106 96 97 81 0.373625 0.9900 NonOverlappingTemplate 107 114 140 122 93 103 95 92 70 64 0.000000 * 0.9910 NonOverlappingTemplate 91 82 62 110 104 108 118 122 98 105 0.000739 0.9830 NonOverlappingTemplate 95 95 82 114 116 109 91 97 80 121 0.031012 0.9890 NonOverlappingTemplate 59 63 69 97 96 112 119 134 135 116 0.000000 * 0.9940 NonOverlappingTemplate 118 116 105 104 96 109 102 97 67 86 0.016950 0.9970 NonOverlappingTemplate 91 126 101 103 99 132 86 65 114 83 0.000027 * 0.9980 NonOverlappingTemplate 141 104 97 99 107 92 106 95 65 94 0.000251 0.9940 NonOverlappingTemplate 86 78 102 102 87 76 103 107 133 126 0.000159 0.9920 NonOverlappingTemplate 69 94 101 93 102 103 112 102 97 127 0.021554 0.9990 * NonOverlappingTemplate 165 92 114 90 65 83 88 95 113 95 0.000000 * 0.9590 * NonOverlappingTemplate 74 128 108 123 105 126 88 102 85 61 0.000000 * 0.9980 NonOverlappingTemplate 154 111 89 74 84 98 104 100 73 113 0.000000 * 0.9780 * NonOverlappingTemplate 78 93 92 80 100 100 109 103 123 122 0.012650 0.9960 NonOverlappingTemplate 19 26 55 90 91 122 151 139 159 148 0.000000 * 1.0000 * NonOverlappingTemplate 79 90 83 95 100 109 109 108 107 120 0.083018 1.0000 * NonOverlappingTemplate 83 100 93 89 86 97 120 112 132 88 0.004697 0.9850 NonOverlappingTemplate 113 94 88 88 90 94 96 101 99 137 0.016950 0.9930 NonOverlappingTemplate 53 68 105 106 111 118 103 104 108 124 0.000001 * 1.0000 * NonOverlappingTemplate 63 113 77 103 107 94 117 114 94 118 0.000429 0.9970 NonOverlappingTemplate 62 105 76 85 97 105 111 109 97 153 0.000000 * 0.9950 NonOverlappingTemplate 121 116 103 119 99 123 103 80 72 64 0.000005 * 0.9870 NonOverlappingTemplate 81 72 79 75 83 90 110 126 135 149 0.000000 * 0.9920 NonOverlappingTemplate 89 151 139 115 93 85 75 74 82 97 0.000000 * 0.9980 NonOverlappingTemplate 73 81 90 101 115 105 99 119 99 118 0.011464 0.9830 NonOverlappingTemplate 101 103 81 94 103 106 112 95 91 114 0.439122 0.9980 NonOverlappingTemplate 74 123 110 141 114 102 89 85 75 87 0.000002 * 0.9990 * NonOverlappingTemplate 90 138 118 104 104 100 79 85 79 103 0.000412 1.0000 * NonOverlappingTemplate 130 108 88 76 87 104 112 114 101 80 0.001967 0.9630 * NonOverlappingTemplate 124 122 102 67 82 119 99 93 87 105 0.000318 0.9860 NonOverlappingTemplate 80 77 94 97 121 91 102 105 103 130 0.003795 0.9750 * NonOverlappingTemplate 99 133 124 111 87 88 77 72 88 121 0.000008 * 0.9980 NonOverlappingTemplate 79 115 98 118 124 90 84 91 88 113 0.005762 0.9960 NonOverlappingTemplate 75 106 125 118 120 102 86 85 67 116 0.000019 * 0.9980 NonOverlappingTemplate 143 89 80 93 94 79 92 114 106 110 0.000138 0.9730 * NonOverlappingTemplate 59 84 100 117 112 115 94 107 99 113 0.000787 0.9980 NonOverlappingTemplate 69 85 87 96 112 114 118 111 113 95 0.005166 0.9960 NonOverlappingTemplate 106 92 85 93 107 96 106 109 88 118 0.331408 0.9790 * NonOverlappingTemplate 88 115 114 125 117 95 84 95 84 83 0.005557 0.9940 NonOverlappingTemplate 73 62 68 70 87 93 103 130 150 164 0.000000 * 0.9990 * NonOverlappingTemplate 147 137 126 111 92 78 87 75 80 67 0.000000 * 0.9910 NonOverlappingTemplate 111 90 86 113 107 91 116 108 73 105 0.036352 0.9920 NonOverlappingTemplate 104 86 97 99 88 105 106 100 101 114 0.715679 0.9830 NonOverlappingTemplate 73 97 90 87 97 103 112 102 111 128 0.013664 0.9990 * NonOverlappingTemplate 39 91 93 96 108 133 124 106 98 112 0.000000 * 1.0000 * NonOverlappingTemplate 71 85 113 96 108 95 108 93 111 120 0.019587 0.9920 NonOverlappingTemplate 119 126 102 90 103 106 75 82 87 110 0.004239 0.9870 NonOverlappingTemplate 84 90 110 96 93 115 124 90 106 92 0.085068 0.9880 NonOverlappingTemplate 149 137 123 109 77 80 80 86 69 90 0.000000 * 0.9840 NonOverlappingTemplate 175 135 97 100 74 89 70 76 91 93 0.000000 * 0.9770 * NonOverlappingTemplate 72 97 93 115 113 100 98 98 107 107 0.144504 0.9990 * NonOverlappingTemplate 85 95 116 99 86 75 100 105 112 127 0.008090 1.0000 * NonOverlappingTemplate 77 86 108 97 100 123 97 107 100 105 0.118812 0.9940 NonOverlappingTemplate 96 116 101 102 85 92 89 100 87 132 0.026948 0.9950 NonOverlappingTemplate 46 68 72 101 104 128 131 131 120 99 0.000000 * 0.9980 NonOverlappingTemplate 134 136 103 94 78 102 104 77 74 98 0.000003 * 0.9880 NonOverlappingTemplate 91 89 87 114 110 93 89 121 96 110 0.124476 0.9900 NonOverlappingTemplate 96 106 99 95 91 92 100 93 106 122 0.542228 0.9960 NonOverlappingTemplate 112 95 102 111 110 89 93 84 107 97 0.457825 0.9970 NonOverlappingTemplate 51 83 80 79 96 104 108 100 115 184 0.000000 * 1.0000 * NonOverlappingTemplate 91 62 84 106 120 149 120 117 87 64 0.000000 * 0.9920 NonOverlappingTemplate 107 137 128 88 94 91 96 97 89 73 0.000115 0.9880 NonOverlappingTemplate 91 100 119 101 102 84 120 97 93 93 0.207730 0.9980 NonOverlappingTemplate 94 96 91 78 90 117 100 96 121 117 0.041169 0.9880 NonOverlappingTemplate 119 114 116 126 92 101 100 82 73 77 0.000257 0.9980 NonOverlappingTemplate 81 95 75 85 102 97 97 98 128 142 0.000017 * 0.9980 NonOverlappingTemplate 74 70 86 76 90 80 99 108 149 168 0.000000 * 1.0000 * NonOverlappingTemplate 90 109 86 109 108 113 113 94 91 87 0.245490 0.9940 NonOverlappingTemplate 67 115 105 89 107 94 117 92 102 112 0.015276 1.0000 * NonOverlappingTemplate 143 122 109 106 107 98 95 74 80 66 0.000000 * 0.9670 * NonOverlappingTemplate 82 154 120 109 110 118 92 69 80 66 0.000000 * 0.9990 * NonOverlappingTemplate 77 98 92 113 107 81 118 92 120 102 0.019993 0.9990 * NonOverlappingTemplate 102 116 130 100 103 105 84 94 73 93 0.007057 0.9900 NonOverlappingTemplate 109 78 93 106 98 103 113 85 120 95 0.096000 0.9880 NonOverlappingTemplate 34 63 67 107 119 119 140 123 131 97 0.000000 * 1.0000 * NonOverlappingTemplate 141 95 107 121 104 83 77 77 81 114 0.000005 * 0.9660 * NonOverlappingTemplate 91 82 62 109 105 107 118 124 97 105 0.000559 0.9830 NonOverlappingTemplate 85 98 93 114 114 104 107 103 95 87 0.402962 0.9910 OverlappingTemplate 126 117 115 94 101 96 111 80 78 82 0.002270 0.9900 Universal 132 94 81 87 81 90 102 84 120 129 0.000048 * 0.9860 ApproximateEntropy 71 75 61 84 59 55 61 73 64 56 0.187738 0.9879 RandomExcursions 67 65 73 56 70 75 80 58 51 64 0.245394 0.9894 RandomExcursions 73 73 69 62 76 76 63 61 59 47 0.217681 0.9848 RandomExcursions 73 72 57 67 70 67 76 56 59 62 0.633916 0.9848 RandomExcursions 75 72 65 81 62 69 50 56 60 69 0.215924 0.9863 RandomExcursions 54 61 76 75 75 65 56 67 64 66 0.495898 0.9848 RandomExcursions 65 60 58 82 69 75 61 63 77 49 0.128474 0.9894 RandomExcursions 62 67 65 68 66 57 84 53 74 63 0.317915 0.9848 RandomExcursions 71 80 61 75 64 59 53 81 50 65 0.067204 0.9894 RandomExcursionsVariant 69 75 72 61 65 61 66 66 73 51 0.630712 0.9909 RandomExcursionsVariant 70 64 69 76 69 66 55 58 71 61 0.753692 0.9863 RandomExcursionsVariant 70 56 78 67 71 61 56 58 73 69 0.501944 0.9879 RandomExcursionsVariant 62 61 79 57 70 60 63 61 75 71 0.579655 0.9894 RandomExcursionsVariant 59 64 78 63 64 60 64 81 57 69 0.454488 0.9879 RandomExcursionsVariant 62 68 59 68 57 71 61 72 73 68 0.865235 0.9863 RandomExcursionsVariant 75 64 69 67 57 57 64 61 82 63 0.474986 0.9833 RandomExcursionsVariant 74 70 88 75 47 57 49 58 67 74 0.005603 0.9772 * RandomExcursionsVariant 73 65 82 66 71 61 55 63 70 53 0.315587 0.9894 RandomExcursionsVariant 71 86 65 72 65 55 66 68 54 57 0.180038 0.9894 RandomExcursionsVariant 74 72 88 67 54 56 57 54 72 65 0.050181 0.9863 RandomExcursionsVariant 78 62 72 78 53 73 51 54 67 71 0.097025 0.9894 RandomExcursionsVariant 71 72 73 82 63 54 60 63 65 56 0.322606 0.9848 RandomExcursionsVariant 69 86 66 62 54 79 66 70 61 46 0.032258 0.9894 RandomExcursionsVariant 69 83 60 60 68 66 63 63 69 58 0.608312 0.9909 RandomExcursionsVariant 66 79 58 77 63 56 71 63 62 64 0.526413 0.9894 RandomExcursionsVariant 60 71 70 73 72 69 58 52 64 70 0.630712 0.9879 RandomExcursionsVariant 103 129 105 84 105 74 86 83 107 124 0.000550 0.9970 Serial 146 126 109 84 81 75 76 84 104 115 0.000000 * 0.9870 Serial 127 90 90 103 93 92 94 105 100 106 0.244236 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 0.979923 for a sample size = 659 binary sequences. For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -