Example 1 Test -2 Seed 4 Accuracy 2^24 Test 2.6 Discrete Fourier Transform (Spectral) Test page 2.12 1 -1 Low 1 R 65,828085352437 2 1 Low 2 R 67,4019505288221 3 1 Low 3 R 19,9841722846006 4 1 Low 4 R 60,8387095102967 5 1 Low 5 R 43,5400999431929 6 -1 Low 6 R 33,1152176609451 7 1 Low 7 R 28,4306716088435 8 1 Low 8 R 32,9937455783674 9 -1 Low 9 R 66,2366292231158 10 -1 Low 10 R 75,4150514628509 1240 1 High 58 R 87,6296576408148 1241 1 Low 1183 R 52,0863267971557 1242 1 Low 1184 R 63,434579735079 1243 -1 Low 1185 R 73,2606670566422 1244 1 Low 1186 R 30,3577867044233 1245 1 Low 1187 R 45,6394798923736 1246 1 Low 1188 R 26,2564649510421 1247 -1 Low 1189 R 18,0259243413377 1248 1 Low 1190 R 71,5765678975392 1249 1 Low 1191 R 79,3827815663427 Nist T = 86,5409191301143 n = 2500 N0 = 1187,5 N1 = 1191 N2 = 58 d = 0,642364054837573 Nist z = 0,454219979166135 p = Erfc = 0,520627537718723 T max = 95,3562850280224 % Random Example 2 Test -3 Seed 4 Accuracy 2^14 Test 2.6 Discrete Fourier Transform (Spectral) Test page 2.12 1 -1 Low 1 R 35,6017081755626 2 1 Low 2 R 38,3831826534628 3 1 Low 3 R 38,4004434341203 4 -1 Low 4 R 50,070399261818 5 1 Low 5 R 17,7501840259786 6 -1 Low 6 R 38,4685100402919 7 -1 Low 7 R 39,5279986552508 8 1 Low 8 R 69,8654194203871 9 1 Low 9 R 59,8548743597248 10 -1 Low 10 R 59,231342438208 1240 -1 Low 1189 R 27,8994638890545 1241 1 Low 1190 R 23,3683257230938 1242 -1 Low 1191 R 11,4799519871894 1243 -1 Low 1192 R 46,0843443574715 1244 1 Low 1193 R 64,8265543445027 1245 -1 Low 1194 R 63,6125413111126 1246 -1 Low 1195 R 24,0787985197786 1247 1 High 52 R 88,3592968854412 1248 -1 Low 1196 R 36,2820588875044 1249 1 Low 1197 R 63,2333375263766 Nist T = 86,5409191301143 n = 2500 N0 = 1187,5 N1 = 1197 N2 = 52 d = 1,74355957741627 Nist z = 1,2328828005938 p = Erfc = 8,12343756400171E-02 T max = 95,8366693354684 % Random Example 3 Test -4 Seed 4 Accuracy 2^12 Test 2.6 Discrete Fourier Transform (Spectral) Test page 2.12 1 -1 Low 1 R 29,7585791351492 2 1 Low 2 R 69,6152609010116 3 1 Low 3 R 15,8604073087644 4 1 Low 4 R 20,920194674076 5 -1 Low 5 R 33,7173517883481 6 1 Low 6 R 34,1671637955283 7 -1 Low 7 R 49,002401570315 8 -1 High 1 R 92,1358727650139 9 -1 High 2 R 116,787565726799 10 1 Low 8 R 62,3627666063376 1240 -1 Low 1224 R 31,3865519025295 1241 1 Low 1225 R 57,1278098429749 1242 -1 Low 1226 R 57,908123381642 1243 1 Low 1227 R 38,5938311751562 1244 1 Low 1228 R 36,9922431239002 1245 1 Low 1229 R 67,0543072155205 1246 -1 Low 1230 R 48,2945446716566 1247 -1 Low 1231 R 48,9033818949316 1248 -1 Low 1232 R 33,4369855076698 1249 1 Low 1233 R 47,2143148763709 Nist T = 86,5409191301143 n = 2500 N0 = 1187,5 N1 = 1233 N2 = 16 d = 8,35073271288845 Nist z = 5,90485972915976 p = Erfc =-4,05233935470151E-09 T max = 98,7189751801441 % Non Random Example 4 Test -5 Seed 4 Power = 10 Accuracy 2^10 Test 2.6 Discrete Fourier Transform (Spectral) Test page 2.12 1 -1 Low 1 R 32,0316507728414 2 1 High 1 R 94,8645595579299 3 1 Low 2 R 72,6926793923879 4 1 Low 3 R 25,9225154136496 5 1 Low 4 R 12,3601746826215 6 -1 Low 5 R 19,4560549400676 7 -1 High 2 R 97,2637960933984 8 -1 Low 6 R 62,4956288420367 9 -1 Low 7 R 33,0692014940893 10 1 Low 8 R 34,9349270425011 1240 1 Low 1086 R 7,77529045289538 1241 -1 Low 1087 R 11,8832320633305 1242 -1 Low 1088 R 24,4877090456766 1243 -1 Low 1089 R 50,8008130552337 1244 1 Low 1090 R 18,1334024359154 1245 1 Low 1091 R 16,413083155047 1246 -1 Low 1092 R 27,6397288437695 1247 1 Low 1093 R 66,7466840966989 1248 1 Low 1094 R 69,9952428453261 1249 -1 Low 1095 R 15,6285551557768 Nist T = 86,5409191301143 n = 2500 N0 = 1187,5 N1 = 1095 N2 = 154 d =-16,9767643064216 Nist z = 12,0043851636764 p = Erfc =-1,25481378328247E-08 T max = 87,6701361088871 % Non Random Example 5 Test -4 Seed 4 Accuracy 2^8 Test 2.6 Discrete Fourier Transform (Spectral) Test page 2.12 1 -1 Low 1 R 4,56254241402135 2 1 Low 2 R 4,85289022530625 3 1 Low 3 R 5,37082101156047 4 1 Low 4 R 6,18403499324172 5 -1 Low 5 R 7,43240800430132 6 1 Low 6 R 9,42055677321589 7 1 Low 7 R 12,9112712100817 8 -1 Low 8 R 20,4168192164094 9 -1 Low 9 R 47,6130022494275 10 1 High 1 R 157,458800296888 1240 -1 High 81 R 156,937826930049 1241 1 Low 1160 R 50,1730386366994 1242 1 Low 1161 R 23,1297028793815 1243 1 Low 1162 R 15,8876904056209 1244 1 Low 1163 R 12,6490436317636 1245 -1 Low 1164 R 10,8840039750681 1246 -1 Low 1165 R 9,82501288090853 1247 1 Low 1166 R 9,16457159673495 1248 1 Low 1167 R 8,75960828359221 1249 1 Low 1168 R 8,53894864464552 Nist T = 86,5409191301143 n = 2500 N0 = 1187,5 N1 = 1168 N2 = 81 d =-3,57888544838076 Nist z = 2,5306541696399 p = Erfc = 3,44943004444217E-04 T max = 93,5148118494796 % Non Random Example 6 Test -4 Seed 4 Accuracy 2^6 Test 2.6 Discrete Fourier Transform (Spectral) Test page 2.12 1 -1 Low 1 R 0,124459399896079 2 1 Low 2 R 0,122850516592687 3 -1 Low 3 R 0,120215151828424 4 1 Low 4 R 0,116633877402529 5 -1 Low 5 R 0,112245075045612 6 1 Low 6 R 0,107277244692938 7 -1 Low 7 R 0,102099986336508 8 1 Low 8 R 9,72964477179455E-02 9 -1 Low 9 R 0,093743650337262 10 -1 Low 10 R 9,26418096066838E-02 1240 -1 Low 1208 R 3,97158037638903 1241 -1 Low 1209 R 3,95224661190571 1242 1 Low 1210 R 3,9353575965849 1243 1 Low 1211 R 3,92076480911016 1244 1 Low 1212 R 3,90834461533258 1245 -1 Low 1213 R 3,8979951578816 1246 1 Low 1214 R 3,88963389308454 1247 -1 Low 1215 R 3,88319566294393 1248 1 Low 1216 R 3,87863121656822 1249 1 Low 1217 R 3,87590611870914 Nist T = 86,5409191301143 n = 2500 N0 = 1187,5 N1 = 1217 N2 = 32 d = 5,41421131934526 Nist z = 3,828425538686 p = Erfc = 6,03947754474897E-08 T max = 97,4379503602882 % Non RandomThe number NO shows the expected number of low values
The strings with an accuracy of 2^12, 2^10, 2^8 and 2^6 are declared as "Non Random".
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