Table for CAN(5,k,13) for k up to 10000

Last Updated Sun Nov 22 06:43:43 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;5,k,13) 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 14 371293 orthogonal array 15 711828 extended OA (Colbourn) 28 929331 Martirosyan-Tran van Trung 29 1588431 Add a factor 30 1668290 Martirosyan-Tran van Trung 34 1915303 Martirosyan-Tran van Trung 36 1916577 Martirosyan-Tran van Trung 38 1920399 Martirosyan-Tran van Trung 40 1925495 Martirosyan-Tran van Trung 42 1936961 Martirosyan-Tran van Trung 44 1950975 Martirosyan-Tran van Trung 46 1967537 Martirosyan-Tran van Trung 48 1982825 Martirosyan-Tran van Trung 50 2170649 Martirosyan-Tran van Trung 52 2185937 Martirosyan-Tran van Trung 54 2201225 Martirosyan-Tran van Trung 56 2343041 Martirosyan-Tran van Trung 57 3026477 Add a factor 58 3542441 Martirosyan-Tran van Trung 60 3645472 Martirosyan-Tran van Trung 68 3920721 Martirosyan-Tran van Trung 72 3921995 Martirosyan-Tran van Trung 76 3969005 Martirosyan-Tran van Trung 80 3974101 Martirosyan-Tran van Trung 84 3985567 Martirosyan-Tran van Trung 88 3999581 Martirosyan-Tran van Trung 92 4016143 Martirosyan-Tran van Trung 96 4031431 Martirosyan-Tran van Trung 169 4084093 perfect hash family11,169,13,c 170 4084212 Power 13^2+1 171 5059680 Add a factor 172 5940672 perfect hash family16,172,14 176 6048187 Martirosyan-Tran van Trung 184 6064749 Martirosyan-Tran van Trung 192 6080037 Martirosyan-Tran van Trung 338 6132699 Martirosyan-Tran van Trung 340 6205826 Martirosyan-Tran van Trung 342 7181294 Martirosyan-Tran van Trung 344 8062286 Martirosyan-Tran van Trung 352 8169801 Martirosyan-Tran van Trung 364 8186363 Martirosyan-Tran van Trung 368 8747663 Martirosyan-Tran van Trung 384 8762951 Martirosyan-Tran van Trung 390 8815613 Martirosyan-Tran van Trung 392 8859137 Martirosyan-Tran van Trung 394 8927933 Martirosyan-Tran van Trung 416 8929207 Martirosyan-Tran van Trung 442 8953543 Martirosyan-Tran van Trung 446 9002215 Martirosyan-Tran van Trung 468 9003489 Martirosyan-Tran van Trung 472 9048561 Martirosyan-Tran van Trung 494 9052383 Martirosyan-Tran van Trung 498 9198399 Martirosyan-Tran van Trung 524 9203495 Martirosyan-Tran van Trung 532 9213687 Martirosyan-Tran van Trung 586 9214961 Martirosyan-Tran van Trung 614 9230249 Martirosyan-Tran van Trung 616 9244263 Martirosyan-Tran van Trung 624 9245537 Martirosyan-Tran van Trung 642 9418073 Martirosyan-Tran van Trung 670 9433361 Martirosyan-Tran van Trung 676 9448649 Martirosyan-Tran van Trung 680 9521776 Martirosyan-Tran van Trung 730 10222630 Power 27^2+1 731 11830834 Add a factor 736 12797495 Martirosyan-Tran van Trung 754 12812783 Martirosyan-Tran van Trung 764 12835955 Martirosyan-Tran van Trung 768 12837229 Martirosyan-Tran van Trung 780 12889891 Martirosyan-Tran van Trung 784 12961651 Martirosyan-Tran van Trung 788 13030447 Martirosyan-Tran van Trung 832 13031721 Martirosyan-Tran van Trung 884 13056057 Martirosyan-Tran van Trung 892 13104729 Martirosyan-Tran van Trung 936 13106003 Martirosyan-Tran van Trung 944 13194263 Martirosyan-Tran van Trung 988 13198085 Martirosyan-Tran van Trung 996 13344101 Martirosyan-Tran van Trung 1048 13349197 Martirosyan-Tran van Trung 1064 13359389 Martirosyan-Tran van Trung 1172 13360663 Martirosyan-Tran van Trung 1228 13375951 Martirosyan-Tran van Trung 1232 13389965 Martirosyan-Tran van Trung 1248 13391239 Martirosyan-Tran van Trung 1284 13563775 Martirosyan-Tran van Trung 1340 13579063 Martirosyan-Tran van Trung 1352 13594351 Martirosyan-Tran van Trung 1360 13667478 Martirosyan-Tran van Trung 1460 14368332 Martirosyan-Tran van Trung 1462 15976536 Martirosyan-Tran van Trung 1472 16943197 Martirosyan-Tran van Trung 1508 16958485 Martirosyan-Tran van Trung 1528 16981657 Martirosyan-Tran van Trung 1534 16982931 Martirosyan-Tran van Trung 1536 17252499 Martirosyan-Tran van Trung 1560 17305161 Martirosyan-Tran van Trung 1568 17376921 Martirosyan-Tran van Trung 1600 17409708 Power N41^2T1T1 1640 17421174 Power N41^2T1 1682 17432640 Power N41^2+1 1768 17471327 Martirosyan-Tran van Trung 1784 17519999 Martirosyan-Tran van Trung 1872 17521273 Martirosyan-Tran van Trung 1888 17609533 Martirosyan-Tran van Trung 1976 17613355 Martirosyan-Tran van Trung 1992 17759371 Martirosyan-Tran van Trung 2096 17764467 Martirosyan-Tran van Trung 2128 17774659 Martirosyan-Tran van Trung 2344 17775933 Martirosyan-Tran van Trung 2456 17791221 Martirosyan-Tran van Trung 2464 17805235 Martirosyan-Tran van Trung 2496 17806509 Martirosyan-Tran van Trung 2568 17979045 Martirosyan-Tran van Trung 2680 17994333 Martirosyan-Tran van Trung 2704 18009621 Martirosyan-Tran van Trung 2720 18082748 Martirosyan-Tran van Trung 5292 18399854 Power 27^3T13T13 5670 18740389 Power 27^3T13T12 10000 18957892 Power 27^3T13

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