Table for CAN(5,k,12) 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;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 composition 14 371292 fuse symbols 15 661032 extend by one factor 28 872036 Martirosyan-Tran van Trung 29 1402808 extend by one factor 30 1405056 Martirosyan-Tran van Trung 32 1716032 Martirosyan-Tran van Trung 36 1723900 Martirosyan-Tran van Trung 38 1736264 Martirosyan-Tran van Trung 40 1748628 Martirosyan-Tran van Trung 42 1760992 Martirosyan-Tran van Trung 44 1773356 Martirosyan-Tran van Trung 46 1785720 Martirosyan-Tran van Trung 48 1798084 Martirosyan-Tran van Trung 56 2006171 Martirosyan-Tran van Trung 57 2584199 extend by one factor 58 2937695 Martirosyan-Tran van Trung 60 3000564 Martirosyan-Tran van Trung 64 3321814 Martirosyan-Tran van Trung 72 3329682 Martirosyan-Tran van Trung 76 3342651 Martirosyan-Tran van Trung 78 3355015 Martirosyan-Tran van Trung 80 3412039 Martirosyan-Tran van Trung 84 3424403 Martirosyan-Tran van Trung 88 3441860 Martirosyan-Tran van Trung 92 3454224 Martirosyan-Tran van Trung 96 3466588 Martirosyan-Tran van Trung 98 3827091 Martirosyan-Tran van Trung 112 3839455 Martirosyan-Tran van Trung 170 4084202 Power 14^2 171 4909334 extend by one factor 176 5275144 Martirosyan-Tran van Trung 184 5287508 Martirosyan-Tran van Trung 192 5299872 Martirosyan-Tran van Trung 194 5660375 Martirosyan-Tran van Trung 196 5662623 Martirosyan-Tran van Trung 210 5674987 Martirosyan-Tran van Trung 224 5697467 Martirosyan-Tran van Trung 338 5942214 Martirosyan-Tran van Trung 340 6009138 Martirosyan-Tran van Trung 342 6834270 Martirosyan-Tran van Trung 352 7200080 Martirosyan-Tran van Trung 364 7212444 Martirosyan-Tran van Trung 366 7677084 Martirosyan-Tran van Trung 368 7752324 Martirosyan-Tran van Trung 384 7764688 Martirosyan-Tran van Trung 388 8125191 Martirosyan-Tran van Trung 390 8127439 Martirosyan-Tran van Trung 392 8153711 Martirosyan-Tran van Trung 416 8166075 Martirosyan-Tran van Trung 420 8188383 Martirosyan-Tran van Trung 442 8213111 Martirosyan-Tran van Trung 448 8257727 Martirosyan-Tran van Trung 450 8502474 Martirosyan-Tran van Trung 468 8529450 Martirosyan-Tran van Trung 480 8547270 Martirosyan-Tran van Trung 494 8552890 Martirosyan-Tran van Trung 502 8686738 Martirosyan-Tran van Trung 540 8688986 Martirosyan-Tran van Trung 570 8701350 Martirosyan-Tran van Trung 600 8713714 Martirosyan-Tran van Trung 624 8723830 Martirosyan-Tran van Trung 636 8881515 Martirosyan-Tran van Trung 646 8901777 Martirosyan-Tran van Trung 676 8914141 Martirosyan-Tran van Trung 680 9047989 Martirosyan-Tran van Trung 730 9592386 Power 28^2 731 10952910 extend by one factor 732 11264109 Martirosyan-Tran van Trung 736 11421651 Martirosyan-Tran van Trung 758 11434015 Martirosyan-Tran van Trung 768 11446379 Martirosyan-Tran van Trung 776 11806882 Martirosyan-Tran van Trung 780 11809130 Martirosyan-Tran van Trung 784 11835633 Martirosyan-Tran van Trung 832 11847997 Martirosyan-Tran van Trung 840 11870305 Martirosyan-Tran van Trung 884 11895033 Martirosyan-Tran van Trung 896 11939649 Martirosyan-Tran van Trung 900 12184396 Martirosyan-Tran van Trung 930 12211372 Martirosyan-Tran van Trung 936 12224528 Martirosyan-Tran van Trung 954 12242953 Martirosyan-Tran van Trung 960 12269078 Martirosyan-Tran van Trung 988 12274698 Martirosyan-Tran van Trung 1004 12408546 Martirosyan-Tran van Trung 1080 12410794 Martirosyan-Tran van Trung 1140 12423158 Martirosyan-Tran van Trung 1200 12435522 Martirosyan-Tran van Trung 1248 12445638 Martirosyan-Tran van Trung 1272 12603323 Martirosyan-Tran van Trung 1292 12623585 Martirosyan-Tran van Trung 1332 12635949 Martirosyan-Tran van Trung 1352 12638197 Martirosyan-Tran van Trung 1360 12772045 Martirosyan-Tran van Trung 1460 13316442 Martirosyan-Tran van Trung 1462 14676966 Martirosyan-Tran van Trung 1464 14988165 Martirosyan-Tran van Trung 1470 15145707 Martirosyan-Tran van Trung 1472 15168187 Martirosyan-Tran van Trung 1516 15180551 Martirosyan-Tran van Trung 1534 15192915 Martirosyan-Tran van Trung 1536 15440019 Martirosyan-Tran van Trung 1552 15800522 Martirosyan-Tran van Trung 1560 15802770 Martirosyan-Tran van Trung 1568 15829273 Martirosyan-Tran van Trung 1664 15841637 Martirosyan-Tran van Trung 1682 15848920 linear hash family 1768 15888673 Martirosyan-Tran van Trung 1792 15933289 Martirosyan-Tran van Trung 1850 15960196 linear hash family 1852 16071472 linear hash family 2210 16182748 linear hash family 2280 16416798 Martirosyan-Tran van Trung 2400 16429162 Martirosyan-Tran van Trung 2496 16439278 Martirosyan-Tran van Trung 2544 16596963 Martirosyan-Tran van Trung 2584 16617225 Martirosyan-Tran van Trung 2664 16629589 Martirosyan-Tran van Trung 2690 16631837 Martirosyan-Tran van Trung 2704 16634085 Martirosyan-Tran van Trung 2720 16767933 Martirosyan-Tran van Trung 2920 17312330 Martirosyan-Tran van Trung 10000 18312736 Power 23^3

Graph: