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 composition 20 2476098 fuse symbols 21 4574340 extend by one factor 40 5605154 Martirosyan-Tran van Trung 41 9565712 extend by one factor 42 9570816 Martirosyan-Tran van Trung 48 11684302 Martirosyan-Tran van Trung 50 12991725 Martirosyan-Tran van Trung 52 12994277 Martirosyan-Tran van Trung 54 12996829 Martirosyan-Tran van Trung 56 12999381 Martirosyan-Tran van Trung 58 13001933 Martirosyan-Tran van Trung 66 13098909 Martirosyan-Tran van Trung 68 13142293 Martirosyan-Tran van Trung 70 13185677 Martirosyan-Tran van Trung 72 13229061 Martirosyan-Tran van Trung 74 13272445 Martirosyan-Tran van Trung 76 13315829 Martirosyan-Tran van Trung 80 13359213 Martirosyan-Tran van Trung 81 19170153 extend by one factor 82 20713787 Martirosyan-Tran van Trung 84 20718891 Martirosyan-Tran van Trung 96 23201940 Martirosyan-Tran van Trung 100 24509363 Martirosyan-Tran van Trung 104 24511915 Martirosyan-Tran van Trung 108 24514467 Martirosyan-Tran van Trung 112 24517019 Martirosyan-Tran van Trung 114 24519571 Martirosyan-Tran van Trung 362 24760971 linear hash family 363 30835989 extend by one factor 364 36911007 extend by one factor 722 37269709 Martirosyan-Tran van Trung 724 37711573 Martirosyan-Tran van Trung 726 43786591 Martirosyan-Tran van Trung 728 49861609 Martirosyan-Tran van Trung 760 50220311 Martirosyan-Tran van Trung 762 53851307 Martirosyan-Tran van Trung 798 53940965 Martirosyan-Tran van Trung 840 54388987 Martirosyan-Tran van Trung 874 54394091 Martirosyan-Tran van Trung 882 54615023 Martirosyan-Tran van Trung 912 55013135 Martirosyan-Tran van Trung 1372 56051531 linear hash family 1386 57972128 Martirosyan-Tran van Trung 1404 58015512 Martirosyan-Tran van Trung 1428 58084770 Martirosyan-Tran van Trung 1444 58128154 Martirosyan-Tran van Trung 1448 59011882 Martirosyan-Tran van Trung 1452 65086900 Martirosyan-Tran van Trung 1456 71208770 Martirosyan-Tran van Trung 1470 71567472 Martirosyan-Tran van Trung 1484 71610856 Martirosyan-Tran van Trung 1500 71634486 Martirosyan-Tran van Trung 1512 71669557 Martirosyan-Tran van Trung 1520 71712941 Martirosyan-Tran van Trung 1522 80400281 Martirosyan-Tran van Trung 1524 80428331 Martirosyan-Tran van Trung 1554 80517989 Martirosyan-Tran van Trung 1596 80561373 Martirosyan-Tran van Trung 1680 81047675 Martirosyan-Tran van Trung 1748 81052779 Martirosyan-Tran van Trung 1764 81273711 Martirosyan-Tran van Trung 1824 81671823 Martirosyan-Tran van Trung 2034 82710219 Martirosyan-Tran van Trung 2106 82846287 Martirosyan-Tran van Trung 2166 82984803 Martirosyan-Tran van Trung 2744 83818347 Martirosyan-Tran van Trung 2772 85738944 Martirosyan-Tran van Trung 2808 85782328 Martirosyan-Tran van Trung 2856 85851586 Martirosyan-Tran van Trung 2888 85894970 Martirosyan-Tran van Trung 2896 86778698 Martirosyan-Tran van Trung 2904 92853716 Martirosyan-Tran van Trung 2912 98975586 Martirosyan-Tran van Trung 2940 99334288 Martirosyan-Tran van Trung 2968 99377672 Martirosyan-Tran van Trung 3000 99401302 Martirosyan-Tran van Trung 3024 99436373 Martirosyan-Tran van Trung 3040 99479757 Martirosyan-Tran van Trung 3044 108167097 Martirosyan-Tran van Trung 3048 108195147 Martirosyan-Tran van Trung 3108 108284805 Martirosyan-Tran van Trung 3192 108328189 Martirosyan-Tran van Trung 3360 108814491 Martirosyan-Tran van Trung 3496 108819595 Martirosyan-Tran van Trung 3528 109040527 Martirosyan-Tran van Trung 3648 109438639 Martirosyan-Tran van Trung 3990 110477035 Martirosyan-Tran van Trung 4068 110482139 Martirosyan-Tran van Trung 4200 110618207 Martirosyan-Tran van Trung 4212 110623311 Martirosyan-Tran van Trung 4332 110761827 Martirosyan-Tran van Trung 4410 111595371 Martirosyan-Tran van Trung 5488 111671931 Martirosyan-Tran van Trung 5544 113592528 Martirosyan-Tran van Trung 5616 113635912 Martirosyan-Tran van Trung 5712 113705170 Martirosyan-Tran van Trung 5776 113748554 Martirosyan-Tran van Trung 5792 114632282 Martirosyan-Tran van Trung 10000 117708214 Power 23^3

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