Table for CAN(5,k,21) for k up to 10000

Last Updated Tue Mar 8 20:11:31 MST 2022

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,21) 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 4084101 Derive from strength 6 7 4473063 Ji-Li-Yin 8 5459643 Augment OA 9 5986292 Augment OA 24 6436339 orthogonal array fuse fuse 26 9765617 orthogonal array fuse fuse fuse fuse 28 14348895 orthogonal array fuse fuse fuse fuse fuse fuse 43 19029161 4-Restricted SCPHF RE (CL) fuse fuse 46 19296835 3-Restricted SCPHF RE (CL) fuse fuse 47 19308473 2-Restricted SCPHF RE (CL) fuse fuse 48 19308979 SCPHF Random Extension (CLS) fuse fuse 51 19309023 CPHF IPO 3 (WCS) fuse fuse 72 25185663 4,4-Restricted SCPHF RE (CL) fuse fuse 81 25465481 4-Restricted SCPHF RE (CL) fuse fuse 87 25733155 3-Restricted SCPHF RE (CL) fuse fuse 88 25744793 2-Restricted SCPHF RE (CL) fuse fuse 90 25745299 SCPHF Random Extension (CLS) fuse fuse 107 25745365 CPHF IPO 4 (WCS) fuse fuse 136 31621983 4,4-Restricted SCPHF RE (CL) fuse fuse 155 31901801 4-Restricted SCPHF RE (CL) fuse fuse 171 32169475 3-Restricted SCPHF RE (CL) fuse fuse 175 32181113 2-Restricted SCPHF RE (CL) fuse fuse 178 32181619 SCPHF Random Extension (CLS) fuse fuse 181 32181707 CPHF Random Extension (CLS) fuse fuse 228 37778485 4,4,4-Restricted SCPHF RE (CL) fuse fuse 259 38058303 4,4-Restricted SCPHF RE (CL) fuse fuse 299 38338121 4-Restricted SCPHF RE (CL) fuse fuse 332 38605795 3-Restricted SCPHF RE (CL) fuse fuse 342 38617433 2-Restricted SCPHF RE (CL) fuse fuse 344 38617939 SCPHF Random Extension (CLS) fuse fuse 345 38618049 CPHF Random Extension (CLS) fuse fuse 430 44214805 4,4,4-Restricted SCPHF RE (CL) fuse fuse 493 44494623 4,4-Restricted SCPHF RE (CL) fuse fuse 564 44774441 4-Restricted SCPHF RE (CL) fuse fuse 648 45042115 3-Restricted SCPHF RE (CL) fuse fuse 654 45053753 2-Restricted SCPHF RE (CL) fuse fuse 656 45054259 SCPHF Random Extension (CLS) fuse fuse 785 50651125 4,4,4-Restricted SCPHF RE (CL) fuse fuse 786 69066865 Add 1 factors 787 78954085 Add 2 factors 788 82843705 Add 3 factors 789 87411346 Add 4 factors 790 87781786 Add 5 factors 791 97500147 Add 23 factors 792 97511785 Add 23 factors 799 97521905 Add 23 factors 804 97533543 Add 23 factors 806 97626647 Add 23 factors 808 97661561 Add 23 factors 809 113079925 Add 25 factors fuse 810 113334925 Add 25 factors fuse 860 118954103 Martirosyan-TVT 865 119233921 Martirosyan-TVT variant 961 119282535 Martirosyan-TVT variant 986 119331149 Martirosyan-TVT 1018 119610967 Martirosyan-TVT 1019 119632505 Martirosyan-TVT variant 1057 119654043 Martirosyan-TVT variant 1058 119702701 Martirosyan-TVT 1104 120187441 Martirosyan-TVT 1105 120421221 Martirosyan-TVT variant 1106 120469879 Martirosyan-TVT 1107 127227007 Martirosyan-TVT variant 2116 128726419 perfect hash family20,2116,23,c fuse fuse 2117 128726760 perfect hash family20,2117,24 3174 132810860 Power CT23^3T17 3703 133199822 Power CT23^3T16 4232 134186402 Power CT23^3T15 4761 134713051 Power CT23^3T14 10000 135162739 perfect hash family21,12167,23,c fuse fuse

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