Table for CAN(6,k,7) for k up to 10000

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 218491 extend by one factor 10 319333 extend by one factor 11 491323 extend by one factor 16 571438 Martirosyan-Tran van Trung 17 772828 extend by one factor 18 974218 extend by one factor 19 1175608 extend by one factor 20 1376998 extend by one factor 21 1678936 extend by one factor 22 1829800 Martirosyan-Tran van Trung 24 1967455 Martirosyan-Tran van Trung 26 2015405 Martirosyan-Tran van Trung 28 2034585 Martirosyan-Tran van Trung 30 2053765 Martirosyan-Tran van Trung 32 2072945 Martirosyan-Tran van Trung 33 2475431 extend by one factor 34 2509311 Martirosyan-Tran van Trung 36 2732387 Martirosyan-Tran van Trung 37 3134873 extend by one factor 38 3490725 Martirosyan-Tran van Trung 40 3720871 Martirosyan-Tran van Trung 42 4051873 Martirosyan-Tran van Trung 44 4202737 Martirosyan-Tran van Trung 48 4352992 Martirosyan-Tran van Trung 52 4411442 Martirosyan-Tran van Trung 56 4434822 Martirosyan-Tran van Trung 60 4458202 Martirosyan-Tran van Trung 64 4917290 Martirosyan-Tran van Trung 65 5507348 extend by one factor 66 5890220 Martirosyan-Tran van Trung 68 5924100 Martirosyan-Tran van Trung 72 6161372 Martirosyan-Tran van Trung 73 6871046 extend by one factor 74 6966296 Martirosyan-Tran van Trung 76 7121730 Martirosyan-Tran van Trung 80 7356076 Martirosyan-Tran van Trung 84 7716142 Martirosyan-Tran van Trung 88 7867006 Martirosyan-Tran van Trung 96 8029861 Martirosyan-Tran van Trung 104 8098811 Martirosyan-Tran van Trung 108 8126391 Martirosyan-Tran van Trung 112 8433243 Martirosyan-Tran van Trung 120 9060177 Martirosyan-Tran van Trung 256 9142993 Power 16^2 257 10127851 extend by one factor 258 11112709 extend by one factor 259 12097567 extend by one factor 289 12365233 Power 17^2 290 13350091 extend by one factor 291 14334949 extend by one factor 292 15319807 extend by one factor 293 16304665 extend by one factor 294 17289523 extend by one factor 295 18274381 extend by one factor 512 18285985 perfect hash family 513 19703527 extend by one factor 514 21121069 extend by one factor 515 22538611 extend by one factor 516 23592154 Martirosyan-Tran van Trung 518 24577012 Martirosyan-Tran van Trung 540 24844678 Martirosyan-Tran van Trung 544 24848878 Martirosyan-Tran van Trung 560 24863074 Martirosyan-Tran van Trung 572 24896554 Martirosyan-Tran van Trung 576 24900754 Martirosyan-Tran van Trung 578 25102774 Martirosyan-Tran van Trung 579 26661688 extend by one factor 580 28220602 extend by one factor 581 29779516 extend by one factor 842 30806461 linear hash family 962 31094161 linear hash family 963 32776051 extend by one factor 1024 33167105 Power 32^2 1025 34848995 extend by one factor 1026 36530885 extend by one factor 1027 38212775 extend by one factor 1028 38851222 Martirosyan-Tran van Trung 1030 40268764 Martirosyan-Tran van Trung 1032 41322307 Martirosyan-Tran van Trung 1036 42307165 Martirosyan-Tran van Trung 1080 42682711 Martirosyan-Tran van Trung 1088 42691111 Martirosyan-Tran van Trung 1106 42719503 Martirosyan-Tran van Trung 1120 42765895 Martirosyan-Tran van Trung 1134 43039603 Martirosyan-Tran van Trung 1135 44763829 extend by one factor 1144 44958994 Martirosyan-Tran van Trung 1152 44967394 Martirosyan-Tran van Trung 1156 45371434 Martirosyan-Tran van Trung 1369 47023081 linear hash family 1370 48747307 extend by one factor 1371 50471533 extend by one factor 1372 52086178 Martirosyan-Tran van Trung 1386 52556134 Martirosyan-Tran van Trung 1392 52612318 Martirosyan-Tran van Trung 1400 52624918 Martirosyan-Tran van Trung 1408 52724278 Martirosyan-Tran van Trung 1442 52736878 Martirosyan-Tran van Trung 1512 52765294 Martirosyan-Tran van Trung 1526 52825990 Martirosyan-Tran van Trung 1536 52883038 Martirosyan-Tran van Trung 1562 52893538 Martirosyan-Tran van Trung 1568 53043134 Martirosyan-Tran van Trung 1584 53284970 Martirosyan-Tran van Trung 1600 53289170 Martirosyan-Tran van Trung 1624 53521376 Martirosyan-Tran van Trung 1648 53620654 Martirosyan-Tran van Trung 1664 53622754 Martirosyan-Tran van Trung 1666 53626954 Martirosyan-Tran van Trung 1680 53655730 Martirosyan-Tran van Trung 1684 53784622 Martirosyan-Tran van Trung 1720 54072322 Martirosyan-Tran van Trung 1728 54222926 Martirosyan-Tran van Trung 1744 54283622 Martirosyan-Tran van Trung 1764 54287822 Martirosyan-Tran van Trung 1778 55307070 Martirosyan-Tran van Trung 1792 55364982 Martirosyan-Tran van Trung 1876 55544274 Martirosyan-Tran van Trung 1890 55624364 Martirosyan-Tran van Trung 1904 55762654 Martirosyan-Tran van Trung 1920 55764754 Martirosyan-Tran van Trung 1924 55871098 Martirosyan-Tran van Trung 1926 57552988 Martirosyan-Tran van Trung 1960 57944042 Martirosyan-Tran van Trung 1988 57986090 Martirosyan-Tran van Trung 2002 57998690 Martirosyan-Tran van Trung 2016 58217358 Martirosyan-Tran van Trung 2032 58397790 Martirosyan-Tran van Trung 2048 58401990 Martirosyan-Tran van Trung 2050 60261204 Martirosyan-Tran van Trung 2210 60941875 linear hash family 2214 61760175 linear hash family 2812 62087495 linear hash family 3482 62414815 linear hash family 10000 64261265 Power 31^3

Graph: