Table for CAN(6,k,7) 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,7) 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 8 117649 orthogonal array 9 216090 extended OA (Colbourn) 10 316932 Add a factor 11 469350 Add a factor 16 571438 Martirosyan-Tran van Trung 17 772828 Add a factor 18 974218 Add a factor 19 1175608 Add a factor 20 1376998 Add a factor 21 1678936 Add a factor 22 1807827 Martirosyan-Tran van Trung 24 1967455 Martirosyan-Tran van Trung 26 1996225 Martirosyan-Tran van Trung 28 2024995 Martirosyan-Tran van Trung 30 2044175 Martirosyan-Tran van Trung 32 2053765 Martirosyan-Tran van Trung 33 2456251 Add a factor 34 2479193 Martirosyan-Tran van Trung 36 2699763 Martirosyan-Tran van Trung 37 3102249 Add a factor 38 3459911 Martirosyan-Tran van Trung 40 3690057 Martirosyan-Tran van Trung 42 4023117 Martirosyan-Tran van Trung 44 4180764 Martirosyan-Tran van Trung 48 4352992 Martirosyan-Tran van Trung 52 4388062 Martirosyan-Tran van Trung 56 4423132 Martirosyan-Tran van Trung 60 4446512 Martirosyan-Tran van Trung 64 4893910 Martirosyan-Tran van Trung 65 5463640 Add a factor 66 5855902 Martirosyan-Tran van Trung 68 5878844 Martirosyan-Tran van Trung 72 6103614 Martirosyan-Tran van Trung 74 6805094 Martirosyan-Tran van Trung 76 7084658 Martirosyan-Tran van Trung 80 7319004 Martirosyan-Tran van Trung 84 7683186 Martirosyan-Tran van Trung 88 7845033 Martirosyan-Tran van Trung 96 8029861 Martirosyan-Tran van Trung 104 8071231 Martirosyan-Tran van Trung 108 8112601 Martirosyan-Tran van Trung 112 8419453 Martirosyan-Tran van Trung 128 8689203 Power 16^2T8 144 8787644 Power 16^2T7 160 8888486 Power 16^2T6 176 9040904 Power 16^2T5 256 9142992 Power 16^2 257 10127850 Add a factor 258 11112708 Add a factor 259 12097566 Add a factor 272 12163842 Power 17^2T1 289 12365232 Power 17^2 290 13350090 Add a factor 291 14334948 Add a factor 292 15319806 Add a factor 293 16304664 Add a factor 294 17289522 Add a factor 320 18031478 perfect hash family32,512,16T6 352 18183896 perfect hash family32,512,16T5 512 18285984 perfect hash family32,512,16 513 19703526 Add a factor 514 21121068 Add a factor 515 22538610 Add a factor 516 23572167 Martirosyan-Tran van Trung 518 24557025 Martirosyan-Tran van Trung 520 24623301 Martirosyan-Tran van Trung 540 24627501 Martirosyan-Tran van Trung 544 24631701 Martirosyan-Tran van Trung 560 24837291 Martirosyan-Tran van Trung 576 24871419 Martirosyan-Tran van Trung 578 25092315 Martirosyan-Tran van Trung 579 26651229 Add a factor 580 28210143 Add a factor 581 29769057 Add a factor 589 29928303 Power N31^2T12 600 30120103 Power N31^2T11T1 620 30129693 Power N31^2T11 630 30422041 Power N31^2T10T1 638 30426262 Power N29^2T7 651 30431631 Power N31^2T10 659 30528350 Power N29^2S7 682 30547530 Power N29^2S6 706 30566710 Power N29^2S5 731 30585890 Power N29^2S4 757 30605070 Power N29^2S3 784 30624250 Power N29^2T1T1 812 30643430 Power N29^2T1 842 30662610 Power N29^2+1 843 30768100 Power N31^2S4 871 30777690 Power N31^2S3 900 30787280 Power N31^2T1T1 930 30796870 Power N31^2T1 962 30806460 Power N31^2+1 963 32488350 Add a factor 1024 32860224 Power 32^2 1025 34542114 Add a factor 1026 36224004 Add a factor 1027 37905894 Add a factor 1028 38696231 Martirosyan-Tran van Trung 1030 40113773 Martirosyan-Tran van Trung 1032 41147330 Martirosyan-Tran van Trung 1036 42132188 Martirosyan-Tran van Trung 1040 42441348 Martirosyan-Tran van Trung 1080 42449748 Martirosyan-Tran van Trung 1088 42458148 Martirosyan-Tran van Trung 1106 42667938 Martirosyan-Tran van Trung 1120 42714330 Martirosyan-Tran van Trung 1134 42989334 Martirosyan-Tran van Trung 1162 44118804 Power N37^2S6 1194 44521290 Power N37^2S5 1227 44923776 Power N37^2S4 1261 45326262 Power N37^2S3 1296 45728748 Power N37^2T1T1 1332 46131234 Power N37^2T1 1369 46533720 Power N37^2 1370 48224430 Add a factor 1371 49915140 Add a factor 1372 51605850 Add a factor 1386 52316383 Martirosyan-Tran van Trung 1392 52372567 Martirosyan-Tran van Trung 1400 52385167 Martirosyan-Tran van Trung 1408 52484527 Martirosyan-Tran van Trung 1412 52497127 Martirosyan-Tran van Trung 1442 52516307 Martirosyan-Tran van Trung 1462 52544723 Martirosyan-Tran van Trung 1512 52563903 Martirosyan-Tran van Trung 1514 52624599 Martirosyan-Tran van Trung 1526 52643779 Martirosyan-Tran van Trung 1536 52700827 Martirosyan-Tran van Trung 1562 52707127 Martirosyan-Tran van Trung 1568 52856723 Martirosyan-Tran van Trung 1584 53085471 Martirosyan-Tran van Trung 1596 53089671 Martirosyan-Tran van Trung 1600 53118375 Martirosyan-Tran van Trung 1624 53350581 Martirosyan-Tran van Trung 1648 53469039 Martirosyan-Tran van Trung 1664 53471139 Martirosyan-Tran van Trung 1666 53477439 Martirosyan-Tran van Trung 1680 53506215 Martirosyan-Tran van Trung 1684 53592399 Martirosyan-Tran van Trung 1686 53697889 Martirosyan-Tran van Trung 1694 53707479 Martirosyan-Tran van Trung 1720 53736327 Martirosyan-Tran van Trung 1728 53886931 Martirosyan-Tran van Trung 1742 53947627 Martirosyan-Tran van Trung 1744 53957217 Martirosyan-Tran van Trung 1764 53961417 Martirosyan-Tran van Trung 1778 54917351 Martirosyan-Tran van Trung 1792 54946271 Martirosyan-Tran van Trung 1800 55148891 Martirosyan-Tran van Trung 1820 55158481 Martirosyan-Tran van Trung 1824 55238571 Martirosyan-Tran van Trung 1860 55240671 Martirosyan-Tran van Trung 1876 55250261 Martirosyan-Tran van Trung 1890 55330351 Martirosyan-Tran van Trung 1904 55388551 Martirosyan-Tran van Trung 1920 55390651 Martirosyan-Tran van Trung 1924 55478935 Martirosyan-Tran van Trung 1926 57160825 Martirosyan-Tran van Trung 1932 57532699 Martirosyan-Tran van Trung 1936 57612789 Martirosyan-Tran van Trung 1960 57614889 Martirosyan-Tran van Trung 1988 57657585 Martirosyan-Tran van Trung 2002 57670185 Martirosyan-Tran van Trung 2016 57750275 Martirosyan-Tran van Trung 2032 57943283 Martirosyan-Tran van Trung 2044 57945383 Martirosyan-Tran van Trung 2048 58025473 Martirosyan-Tran van Trung 2050 59871649 Martirosyan-Tran van Trung 2304 59892893 Power 32^3T24T23 2592 59991334 Power 32^3T23T23 2880 60092176 Power 32^3T23T22 3200 60193018 Power 32^3T22T22 4096 60248241 Power 32^3T24T16 4608 60346682 Power 32^3T23T16 5120 60447524 Power 32^3T22T16 5632 60599942 Power 32^3T21T16 8192 60702030 Power 32^3T16T16 8704 60903420 Power 32^3T16T15 9248 61104810 Power 32^3T15T15 9792 61306200 Power 32^3T15T14 10000 61507590 Power 31^3T13T13

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