Table for CAN(6,k,5) for k up to 10000

Last Updated Sun Nov 22 06:45:17 MST 2009

Locate the k in the first column that is at least as large as the number of factors in which you are interested. Then let N be the number of rows (tests) given in the second column. A CA(N;6,k,5) exists according to a construction in the reference (cryptically) given in the third column. The accompanying graph plots N vertically against log k (base 10).

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k N Source 7 15625 orthogonal array 8 25000 Xu-Ji-Dong 9 35762 Density (Linnemann-Frewer) postop NCK 10 44368 Density (Colbourn) postop NCK 11 53689 IPOG-F (NIST) postop NCK 12 62313 IPOG-F (NIST) postop NCK 13 70190 IPOG-F (NIST) 14 72681 paintball (Kuhn) 15 82139 IPOG-F (NIST) 16 87559 IPOG-F (NIST) 17 92701 IPOG-F (NIST) 18 97605 IPOG-F (NIST) 19 102208 IPOG-F (NIST) 20 106642 IPOG-F (NIST) 21 110842 IPOG-F (NIST) 22 114775 IPOG-F (NIST) 23 118587 IPOG-F (NIST) 24 122201 IPOG-F (NIST) 25 125683 IPOG-F (NIST) 26 162983 Add a factor 30 184245 paintball (Kuhn) 31 233945 Add a factor 32 283645 Add a factor 33 333345 Add a factor 34 380302 Martirosyan-Tran van Trung 36 391564 Martirosyan-Tran van Trung 38 398035 Martirosyan-Tran van Trung 40 402469 Martirosyan-Tran van Trung 42 413833 Martirosyan-Tran van Trung 44 420198 Martirosyan-Tran van Trung 46 426226 Martirosyan-Tran van Trung 48 432004 Martirosyan-Tran van Trung 49 494104 Add a factor 50 538974 Martirosyan-Tran van Trung 52 578330 Martirosyan-Tran van Trung 54 601516 Martirosyan-Tran van Trung 56 603472 Martirosyan-Tran van Trung 58 605236 Martirosyan-Tran van Trung 60 606996 Martirosyan-Tran van Trung 61 669096 Add a factor 62 685976 Martirosyan-Tran van Trung 64 737340 Martirosyan-Tran van Trung 66 788620 Martirosyan-Tran van Trung 68 837121 Martirosyan-Tran van Trung 70 849843 Martirosyan-Tran van Trung 72 871227 Martirosyan-Tran van Trung 74 879114 Martirosyan-Tran van Trung 76 941266 Martirosyan-Tran van Trung 78 947024 Martirosyan-Tran van Trung 80 948352 Martirosyan-Tran van Trung 82 960980 Martirosyan-Tran van Trung 84 980878 Martirosyan-Tran van Trung 86 994661 Martirosyan-Tran van Trung 88 995849 Martirosyan-Tran van Trung 90 1003033 Martirosyan-Tran van Trung 92 1004145 Martirosyan-Tran van Trung 94 1011059 Martirosyan-Tran van Trung 96 1012131 Martirosyan-Tran van Trung 97 1109031 Add a factor 98 1138499 Martirosyan-Tran van Trung 100 1184417 Martirosyan-Tran van Trung 105 1222612 Power 16^2T2S14 111 1228032 Power 16^2T2S13 120 1232085 RBIBD 122 1242910 Power 16^2S13 126 1244292 Power 16^2T2S10 127 1248330 Power 16^2S12 132 1249712 Power 16^2T2S9 133 1253750 Power 16^2S11 140 1255132 Power 16^2T2S8 141 1259339 Power 16^2T6S2 147 1260552 Power 16^2T2S7 148 1264590 Power 16^2S9 154 1264622 Power 16^2T5T2 155 1265972 Power 16^2T2S6 156 1270010 Power 16^2S8 160 1270179 Power 16^2T6 164 1271392 Power 16^2T2S5 168 1273246 Power 16^2T4T2 174 1276812 Power 16^2T2S4 176 1279500 Power 16^2T5 182 1281123 Power 16^2T3T2 185 1282232 Power 16^2T2S3 196 1283614 Power 16^2T2T2 197 1287652 Power 16^2T2S2 198 1291690 Power 16^2S4 210 1293072 Power 16^2T2T1 211 1297110 Power 16^2S3 224 1298492 Power 16^2T2 225 1302530 Power 16^2T1T1 240 1307950 Power 16^2T1 256 1313370 Power 16^2 272 1385358 Power 17^2T1 289 1390500 Power 17^2 290 1464060 Power 17^2+1 291 1514693 Power 19^2S4 304 1518456 Power 19^2T3 306 1518995 Power 19^2T2T1 307 1519296 Power 19^2S3 323 1523598 Power 19^2T2 324 1523899 Power 19^2T1T1 342 1528502 Power 19^2T1 361 1533105 Power 19^2 362 1599615 Power 19^2+1 363 1662615 Power 19^2+2 364 1721610 Power 19^2+3 367 1747163 Power 23^2T4S4 368 1747762 Power 23^2T7 370 1747785 Power 23^2T3S5 372 1748173 Power 23^2T2S6 373 1748294 Power 23^2S8 374 1749092 Power 23^2T6T1 378 1750063 Power 23^2T5T2 379 1750184 Power 23^2T5S2 380 1750466 Power 23^2T4T3 383 1750975 Power 23^2T4S3 386 1751597 Power 23^2T3S4 388 1751985 Power 23^2T2S5 389 1752106 Power 23^2S7 391 1752904 Power 23^2T6 396 1753996 Power 23^2T5T1 399 1754666 Power 23^2T4T2 400 1754787 Power 23^2T4S2 403 1755409 Power 23^2T3S3 405 1755797 Power 23^2T2S4 406 1755918 Power 23^2S6 414 1757808 Power 23^2T5 418 1758599 Power 23^2T4T1 420 1759100 Power 23^2T3T2 421 1759221 Power 23^2T3S2 423 1759609 Power 23^2T2S3 424 1759730 Power 23^2S5 437 1762411 Power 23^2T4 440 1763033 Power 23^2T3T1 441 1763300 Power 23^2T2T2 442 1763421 Power 23^2T2S2 443 1763542 Power 23^2S4 460 1766845 Power 23^2T3 462 1767233 Power 23^2T2T1 463 1767354 Power 23^2S3 483 1771045 Power 23^2T2 484 1771166 Power 23^2T1T1 506 1774978 Power 23^2T1 529 1778790 Power 23^2 530 1833000 Power 23^2+1 531 1871302 Power 25^2S4 550 1874322 Power 25^2T3 552 1874652 Power 25^2T2T1 553 1874784 Power 25^2S3 575 1878134 Power 25^2T2 576 1878266 Power 25^2T1T1 600 1881748 Power 25^2T1 625 1885230 Power 25^2 626 2036330 Add a factor 627 2187430 Add a factor 628 2338530 Add a factor 629 2489630 Add a factor 630 2640730 Add a factor 650 2683836 Power 27^2T2T1 667 2698002 Power 29^2T6 696 2701616 Power 29^2T5 725 2705098 Power 29^2T4 754 2742398 Power 29^2T3 842 2763660 Power 29^2+1 843 2914760 Add a factor 844 3065860 Add a factor 845 3216960 Add a factor 871 3360060 Power 31^2S3 900 3409760 Power 31^2T1T1 930 3459460 Power 31^2T1 961 3509160 Power 31^2 962 3660260 Add a factor 963 3811360 Add a factor 964 3962460 Add a factor 965 4113560 Add a factor 966 4199758 Martirosyan-Colbourn 968 4199879 Martirosyan-Colbourn 976 4203691 Martirosyan-Colbourn 992 4204960 Power 32^2T1 1024 4254660 Power 32^2 1040 4264695 Martirosyan-Colbourn 1056 4266055 Martirosyan-Colbourn 1058 4267599 Martirosyan-Colbourn 1060 4321809 Martirosyan-Colbourn 1062 4360111 Martirosyan-Colbourn 1088 4363131 Martirosyan-Colbourn 1100 4364591 Martirosyan-Colbourn 1104 4364921 Martirosyan-Colbourn 1106 4365053 Martirosyan-Colbourn 1120 4368403 Martirosyan-Colbourn 1124 4372627 Martirosyan-Colbourn 1136 4373987 Martirosyan-Colbourn 1150 4374667 Martirosyan-Colbourn 1152 4374799 Martirosyan-Colbourn 1160 4391137 Martirosyan-Colbourn 1184 4391153 Martirosyan-Colbourn 1200 4402465 Martirosyan-Colbourn 1208 4420075 Martirosyan-Colbourn 1216 4420139 Martirosyan-Colbourn 1220 4421463 Martirosyan-Colbourn 1232 4422143 Martirosyan-Colbourn 1240 4422823 Martirosyan-Colbourn 1248 4422839 Martirosyan-Colbourn 1250 4424167 Martirosyan-Colbourn 1251 4575267 Add a factor 1252 4605267 Martirosyan-Colbourn 1254 4756367 Martirosyan-Colbourn 1256 4907467 Martirosyan-Colbourn 1421 5005836 Power 29^3T22T22 1624 5015211 Power 29^3T22T21 1856 5024586 Power 29^3T21T21 2030 5034579 Power 29^3T22T19 2088 5035348 Power 29^3T21T20 2233 5043900 Power 29^3T22T18 2320 5043954 Power 29^3T21T19 2349 5046110 Power 29^3T20T20 2436 5052524 Power 29^3T22T17 2552 5053275 Power 29^3T21T18 2610 5054716 Power 29^3T20T19 2639 5060401 Power 29^3T22T16 2784 5061899 Power 29^3T21T17 2842 5062892 Power 29^3T22T15 2900 5063322 Power 29^3T19T19 3016 5069776 Power 29^3T21T16 3248 5072267 Power 29^3T21T15 3393 5080538 Power 29^3T20T16 3480 5081267 Power 29^3T19T17 3509 5081964 Power 29^3T18T18 3654 5083029 Power 29^3T20T15 3712 5087145 Power 29^3T21T13 3770 5089144 Power 29^3T19T16 3828 5090588 Power 29^3T18T17 4060 5091635 Power 29^3T19T15 4176 5097191 Power 29^3T21T11 4466 5100956 Power 29^3T18T15 4640 5106228 Power 29^3T21T9 4698 5107953 Power 29^3T20T11 4872 5109580 Power 29^3T17T15 4930 5111655 Power 29^3T19T12 4959 5112556 Power 29^3T20T10 5104 5114361 Power 29^3T21T7 5220 5116559 Power 29^3T19T11 5278 5117457 Power 29^3T16T15 5336 5118173 Power 29^3T21T6 5684 5119948 Power 29^3T15T15 5742 5125123 Power 29^3T20T7 5800 5125269 Power 29^3T21T4 6003 5128935 Power 29^3T20T6 6090 5129406 Power 29^3T15T14 6264 5132549 Power 29^3T20T5 6380 5133729 Power 29^3T19T7 6496 5134826 Power 29^3T15T13 6525 5136031 Power 29^3T20T4 6670 5137541 Power 29^3T19T6 6699 5139117 Power 29^3T18T8 6902 5139968 Power 29^3T15T12 6960 5141155 Power 29^3T19T5 7018 5143050 Power 29^3T18T7 7250 5144637 Power 29^3T19T4 7308 5144872 Power 29^3T15T11 7337 5146862 Power 29^3T18T6 7395 5149426 Power 29^3T14T12 7714 5149475 Power 29^3T15T10 8120 5153909 Power 29^3T15T9 8526 5158109 Power 29^3T15T8 8932 5162042 Power 29^3T15T7 9338 5165854 Power 29^3T15T6 9744 5169468 Power 29^3T15T5 10000 5172950 Power 29^3T15T4

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