Table for CAN(5,k,18) for k up to 10000

Last Updated Fri Sep 20 11:41:02 MST 2013

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 2243020 Derive from strength 6 9 2374962 Add a symbol 20 2476097 orthogonal array fuse 21 4574033 AZ1 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-Tran van Trung 32 9556616 Martirosyan-Tran van Trung 34 9586704 Martirosyan-Tran van Trung 40 9600416 Martirosyan-Tran van Trung 41 13560668 AZ1 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 24527883 Power N-CT19^2T11 171 24659825 Power N-CT19^2T10 362 24760960 Power N-CT19^2+1 363 28957750 AZ1 364 32714206 Add 2 factors 365 35649250 Add 3 factors 366 37864690 Add 4 factors 381 38451220 Add 19 factors 382 42648010 Add 19 factors 383 46404466 Add 19 factors 384 49339510 Add 19 factors 385 51554950 Add 19 factors 400 52141480 Add 19 factors 480 54107235 Martirosyan-Tran van Trung 490 54134665 Martirosyan-Tran van Trung 684 54162095 Martirosyan-Tran van Trung 722 54189525 Martirosyan-Tran van Trung 724 54396636 Martirosyan-Tran van Trung 726 58593426 Martirosyan-Tran van Trung 728 62349882 Martirosyan-Tran van Trung 730 65284926 Martirosyan-Tran van Trung 732 67500366 Martirosyan-Tran van Trung 760 68086896 Martirosyan-Tran van Trung 762 68202513 Martirosyan-Tran van Trung 763 75351897 AZ1 1284 77425813 Power N-CT41^2Arc(9)T2 fuse 1285 84575197 AZ1 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 123049187 Power CT23^3T15T3T3 3600 123181129 Power CT23^3T14T3T3 8000 123282264 Power CT23^3T3T3T3 8400 125380200 Power CT23^3T3T3T2 9200 127242500 Power CT23^3T3T3 9660 129340436 Power CT23^3T3T2 10000 131202736 Power CT23^3T3

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