# Table for CAN(5,k,18) 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,18) 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 1889568 Derive from strength 6 7 1955178 Ji-Li-Yin 8 2235668 Augment OA 9 2360788 Augment OA 20 2476097 orthogonal array fuse 21 4444632 extended OA (Colbourn) special fuse 24 6436333 orthogonal array fuse fuse fuse fuse fuse 27 7428257 perfect hash family3,27,19,c fuse 28 7428288 perfect hash family3,28,20 30 9555192 Martirosyan-TVT 31 9555904 Martirosyan-TVT variant 32 9556616 Martirosyan-TVT 33 9564804 Martirosyan-TVT variant 35 9586704 Martirosyan-TVT variant 40 9600416 Martirosyan-TVT 41 13560668 Add 1 factors 44 14856497 perfect hash family6,44,19,c fuse 48 14856576 perfect hash family6,48,20 55 17332577 perfect hash family7,55,19,c fuse 61 17332672 perfect hash family7,61,20 68 19808657 perfect hash family8,68,19,c fuse 76 19808768 perfect hash family8,76,20 87 22284737 perfect hash family9,87,19,c fuse 98 22284864 perfect hash family9,98,20 114 24174431 Power N-CT19^2T13 133 24240041 Power N-CT19^2T12 152 24520531 Power N-CT19^2T11 171 24645651 Power N-CT19^2T10 362 24760960 Power N-CT19^2+1 363 28957750 Add 1 factors 364 32714206 Add 2 factors 365 35649250 Add 3 factors 366 36712820 Add 4 factors 367 36885107 Add 5 factors 381 38451220 Add 19 factors 382 42648010 Add 19 factors 383 46404466 Add 19 factors 384 49339510 Add 19 factors 385 50403080 Add 19 factors 386 50575367 Add 19 factors 400 52141480 Add 19 factors 481 54107235 Martirosyan-TVT variant 491 54134665 Martirosyan-TVT variant 685 54162095 Martirosyan-TVT variant 722 54189525 Martirosyan-TVT 724 54396636 Martirosyan-TVT 726 58593426 Martirosyan-TVT 728 62349882 Martirosyan-TVT 730 65284926 Martirosyan-TVT 732 66348496 Martirosyan-TVT 734 66520783 Martirosyan-TVT 760 68086896 Martirosyan-TVT 762 68202513 Martirosyan-TVT 763 75351897 Add 1 factors 764 79912215 Martirosyan-TVT 1284 81011295 Power N-CT41^2Arc(9)T2 1348 86403735 Power N-CT41^2Arc(9) 1381 90363987 Power N-CT41^2Arc(8) 1415 94324239 Power N-CT41^2Arc(7) 1450 98284491 Power N-CT41^2Arc(6) 1486 102244743 Power N-CT41^2Arc(5) 1523 106204995 Power N-CT41^2Arc(4) 1561 110165247 Power N-CT41^2Arc(3) 1600 114125499 Power N-CT41^2T1T1 1640 118085751 Power N-CT41^2T1 1681 122046003 Power N-CT41^2 2400 122695735 Power CT23^3T17T3T3 2800 122761345 Power CT23^3T16T3T3 3200 123041835 Power CT23^3T15T3T3 3600 123166955 Power CT23^3T14T3T3 8000 123282264 Power CT23^3T3T3T3 8400 125250799 Power CT23^3T3T3T2 8820 127219334 Power CT23^3T3T2T2 9200 127242500 Power CT23^3T3T3 9261 129187869 Power CT23^3T2T2T2 9660 129211035 Power CT23^3T3T2 10000 131179570 Power CT23^3T2T2
Graph: