Table for CAN(5,k,12) 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,12) 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 6 248832 Derive from strength 6 7 296130 Derive from strength 6 8 323050 Add a symbol 9 352418 Add a symbol 14 371291 orthogonal array fuse 15 658259 Add a factor 16 818639 Martirosyan-Tran van Trung 18 849127 Martirosyan-Tran van Trung 24 869120 Martirosyan-Tran van Trung 28 870240 Martirosyan-Tran van Trung 29 1396788 Add a factor 30 1400148 Martirosyan-Tran van Trung 32 1660736 Martirosyan-Tran van Trung 36 1700184 Martirosyan-Tran van Trung 38 1732497 Martirosyan-Tran van Trung 40 1744817 Martirosyan-Tran van Trung 42 1754897 Martirosyan-Tran van Trung 44 1769457 Martirosyan-Tran van Trung 46 1778417 Martirosyan-Tran van Trung 48 1790737 Martirosyan-Tran van Trung 54 1965695 Martirosyan-Tran van Trung 56 2000719 Martirosyan-Tran van Trung 57 2578747 Add a factor 58 2928019 Martirosyan-Tran van Trung 60 2951586 Martirosyan-Tran van Trung 64 3263467 Martirosyan-Tran van Trung 72 3302915 Martirosyan-Tran van Trung 76 3335228 Martirosyan-Tran van Trung 78 3347548 Martirosyan-Tran van Trung 80 3404572 Martirosyan-Tran van Trung 84 3414652 Martirosyan-Tran van Trung 88 3432248 Martirosyan-Tran van Trung 92 3441208 Martirosyan-Tran van Trung 96 3453528 Martirosyan-Tran van Trung 98 3785456 Martirosyan-Tran van Trung 100 3793296 Martirosyan-Tran van Trung 108 3794416 Martirosyan-Tran van Trung 112 3829440 Martirosyan-Tran van Trung 117 4065317 Power 13^2T4 169 4084091 perfect hash family11,169,13,c fuse 170 4084190 Power 13^2+1 171 4906550 Add a factor 172 5263209 Martirosyan-Tran van Trung 176 5264329 Martirosyan-Tran van Trung 184 5273289 Martirosyan-Tran van Trung 192 5285609 Martirosyan-Tran van Trung 194 5617537 Martirosyan-Tran van Trung 196 5619777 Martirosyan-Tran van Trung 200 5627617 Martirosyan-Tran van Trung 210 5628737 Martirosyan-Tran van Trung 212 5646657 Martirosyan-Tran van Trung 216 5647777 Martirosyan-Tran van Trung 224 5682801 Martirosyan-Tran van Trung 234 5918679 Martirosyan-Tran van Trung 238 5937452 Martirosyan-Tran van Trung 316 5938572 Martirosyan-Tran van Trung 338 5939692 Martirosyan-Tran van Trung 340 6006715 Martirosyan-Tran van Trung 342 6829075 Martirosyan-Tran van Trung 344 7185734 Martirosyan-Tran van Trung 352 7186854 Martirosyan-Tran van Trung 364 7195814 Martirosyan-Tran van Trung 366 7659002 Martirosyan-Tran van Trung 368 7710339 Martirosyan-Tran van Trung 384 7724899 Martirosyan-Tran van Trung 388 8056827 Martirosyan-Tran van Trung 390 8059067 Martirosyan-Tran van Trung 392 8084950 Martirosyan-Tran van Trung 400 8092790 Martirosyan-Tran van Trung 416 8093910 Martirosyan-Tran van Trung 420 8116218 Martirosyan-Tran van Trung 424 8137498 Martirosyan-Tran van Trung 432 8138618 Martirosyan-Tran van Trung 442 8173642 Martirosyan-Tran van Trung 448 8218258 Martirosyan-Tran van Trung 450 8454136 Martirosyan-Tran van Trung 468 8479896 Martirosyan-Tran van Trung 476 8539985 Martirosyan-Tran van Trung 480 8541105 Martirosyan-Tran van Trung 494 8547825 Martirosyan-Tran van Trung 502 8681673 Martirosyan-Tran van Trung 540 8683913 Martirosyan-Tran van Trung 570 8696233 Martirosyan-Tran van Trung 595 8702390 Power N29^2S10 600 8708553 Martirosyan-Tran van Trung 624 8718633 Martirosyan-Tran van Trung 632 8873777 Martirosyan-Tran van Trung 636 8874897 Martirosyan-Tran van Trung 646 8877911 Martirosyan-Tran van Trung 676 8890231 Martirosyan-Tran van Trung 680 8957254 Martirosyan-Tran van Trung 730 9572629 Power 27^2+1 731 10733701 Add a factor 732 11242888 Martirosyan-Tran van Trung 736 11331383 Martirosyan-Tran van Trung 754 11345943 Martirosyan-Tran van Trung 758 11367184 Martirosyan-Tran van Trung 768 11376144 Martirosyan-Tran van Trung 776 11708072 Martirosyan-Tran van Trung 780 11710312 Martirosyan-Tran van Trung 784 11760965 Martirosyan-Tran van Trung 800 11768805 Martirosyan-Tran van Trung 832 11769925 Martirosyan-Tran van Trung 840 11792233 Martirosyan-Tran van Trung 848 11813513 Martirosyan-Tran van Trung 864 11814633 Martirosyan-Tran van Trung 884 11849657 Martirosyan-Tran van Trung 896 11894273 Martirosyan-Tran van Trung 900 12130151 Martirosyan-Tran van Trung 930 12155911 Martirosyan-Tran van Trung 936 12158144 Martirosyan-Tran van Trung 952 12229156 Martirosyan-Tran van Trung 954 12230276 Martirosyan-Tran van Trung 960 12258942 Martirosyan-Tran van Trung 988 12265662 Martirosyan-Tran van Trung 1004 12399510 Martirosyan-Tran van Trung 1032 12401750 Martirosyan-Tran van Trung 1080 12402870 Martirosyan-Tran van Trung 1140 12415190 Martirosyan-Tran van Trung 1190 12421347 Martirosyan-Tran van Trung 1200 12427510 Martirosyan-Tran van Trung 1248 12438710 Martirosyan-Tran van Trung 1264 12593854 Martirosyan-Tran van Trung 1272 12594974 Martirosyan-Tran van Trung 1292 12597988 Martirosyan-Tran van Trung 1332 12610308 Martirosyan-Tran van Trung 1352 12612548 Martirosyan-Tran van Trung 1360 12679571 Martirosyan-Tran van Trung 1460 13294946 Martirosyan-Tran van Trung 1462 14456018 Martirosyan-Tran van Trung 1464 14965205 Martirosyan-Tran van Trung 1470 15053700 Martirosyan-Tran van Trung 1472 15071620 Martirosyan-Tran van Trung 1508 15086180 Martirosyan-Tran van Trung 1516 15107421 Martirosyan-Tran van Trung 1534 15116381 Martirosyan-Tran van Trung 1536 15363485 Martirosyan-Tran van Trung 1552 15695413 Martirosyan-Tran van Trung 1560 15697653 Martirosyan-Tran van Trung 1568 15748306 Martirosyan-Tran van Trung 1600 15756146 Martirosyan-Tran van Trung 1664 15757266 Martirosyan-Tran van Trung 1680 15779574 Martirosyan-Tran van Trung 1682 15794064 Power N41^2+1 1696 15800854 Martirosyan-Tran van Trung 1728 15801974 Martirosyan-Tran van Trung 1736 15836998 Martirosyan-Tran van Trung 1768 15838118 Martirosyan-Tran van Trung 1792 15882734 Martirosyan-Tran van Trung 1806 15910544 Power N43^2T1 1850 15925104 Power N43^2+1 1852 16005744 Power N43^2+3 1861 16018064 Power N47^2S8 1901 16030384 Power N47^2S7 1942 16042704 Power N47^2S6 1984 16055024 Power N47^2S5 2027 16067344 Power N47^2S4 2071 16079664 Power N47^2S3 2116 16091984 Power N47^2T1T1 2162 16104304 Power N47^2T1 2210 16116624 Power N47^2+1 2280 16404771 Martirosyan-Tran van Trung 2360 16410928 Martirosyan-Tran van Trung 2380 16412048 Martirosyan-Tran van Trung 2400 16418211 Martirosyan-Tran van Trung 2404 16429411 Martirosyan-Tran van Trung 2496 16430531 Martirosyan-Tran van Trung 2528 16585675 Martirosyan-Tran van Trung 2544 16586795 Martirosyan-Tran van Trung 2584 16589809 Martirosyan-Tran van Trung 2664 16602129 Martirosyan-Tran van Trung 2678 16604369 Martirosyan-Tran van Trung 2704 16605489 Martirosyan-Tran van Trung 2720 16672512 Martirosyan-Tran van Trung 3024 17228880 Power 27^3T19T13 4508 17255841 Power 23^3T9T9 5292 17277121 Power 27^3T13T13 5670 17564089 Power 27^3T13T12 6048 17724469 Power 27^3T13T11 7406 17753670 Power 23^3T9 7434 17771590 Power 25^3T11S4 7742 17772710 Power 25^3T11S3 8064 17773830 Power 25^3T11S2 9072 17774950 Power 27^3T13T3 10000 17776070 Power 27^3T13

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