Table for CAN(6,k,5) for k up to 10000

Last Updated Wed Mar 9 06:22:05 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;6,k,5) 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 7 15625 orthogonal array 8 25000 Xu-Ji-Dong 11 28125 Restricted CPHF Sim Annealing (TJ-IM) 12 30625 Restricted CPHF Sim Annealing (TJ-IM) 15 43745 Restricted CPHF Sim Annealing (TJ-IM) 16 46865 Restricted CPHF Sim Annealing (TJ-IM) 17 56245 Restricted CPHF Sim Annealing (TJ-IM) 20 59365 Restricted CPHF Sim Annealing (TJ-IM) 21 62465 Restricted CPHF Sim Annealing (TJ-IM) 24 71865 Restricted CPHF Sim Annealing (TJ-IM) 26 74985 Restricted CPHF Sim Annealing (TJ-IM) 27 78105 Restricted CPHF Sim Annealing (TJ-IM) 32 87485 Restricted CPHF Sim Annealing (TJ-IM) 33 90605 Restricted CPHF Sim Annealing (TJ-IM) 35 93725 Restricted CPHF Sim Annealing (TJ-IM) 40 103105 Restricted CPHF Sim Annealing (TJ-IM) 41 106225 Restricted CPHF Sim Annealing (TJ-IM) 46 109345 Restricted CPHF Sim Annealing (TJ-IM) 50 118725 Restricted CPHF Sim Annealing (TJ-IM) 52 121845 Restricted CPHF Sim Annealing (TJ-IM) 59 124965 Restricted CPHF Sim Annealing (TJ-IM) 64 134345 Restricted CPHF Sim Annealing (TJ-IM) 75 140585 Restricted CPHF Sim Annealing (TJ-IM) 82 149965 Restricted CPHF Sim Annealing (TJ-IM) 84 153117 Restricted CPHF Sim Annealing (TJ-IM) 89 156205 Restricted CPHF Sim Annealing (TJ-IM) 98 165585 Restricted CPHF Sim Annealing (TJ-IM) 104 168741 Restricted CPHF Sim Annealing (TJ-IM) 124 171825 Restricted CPHF Sim Annealing (TJ-IM) 169 187445 Restricted CPHF Sim Annealing (TJ-IM) 210 203065 Restricted CPHF Sim Annealing (TJ-IM) 274 218685 Restricted CPHF Sim Annealing (TJ-IM) 320 234361 Restricted CPHF Sim Annealing (TJ-IM) 410 249985 Restricted CPHF Sim Annealing (TJ-IM) 550 265609 Restricted CPHF Sim Annealing (TJ-IM) 640 281233 Restricted CPHF Sim Annealing (TJ-IM) 720 296857 Restricted CPHF Sim Annealing (TJ-IM) 721 434157 Add 1 factors 722 513857 Add 2 factors 723 553857 Add 3 factors 724 566357 Add 4 factors 725 578857 Add 5 factors 726 714777 Add 6 factors 727 795857 Add 5 factors 728 835857 Add 5 factors 729 848357 Add 5 factors 730 860857 Add 5 factors 731 996777 Add 6 factors 747 1046808 perfect hash family4,884,547T137 887 1062432 perfect hash family4,887,550 944 1109304 perfect hash family4,1034,640T90 1034 1124928 perfect hash family4,1034,640 1088 1171800 perfect hash family4,1168,720T80 1168 1187424 perfect hash family4,1168,720 1358 1328040 perfect hash family5,1358,550 1597 1390536 perfect hash family5,1775,639T89 1776 1406160 perfect hash family5,1776,640 1840 1468656 perfect hash family5,2000,720T80 2000 1484280 perfect hash family5,2000,720 2086 1593648 perfect hash family6,2086,550 2116 1643376 perfect hash family14,2209,47S2 2162 1652756 perfect hash family14,2209,47T1 2212 1662136 perfect hash family14,2212,50 2269 1671768 perfect hash family6,2536,639T89 2560 1687392 perfect hash family6,2560,640 2714 1733876 perfect hash family14,3481,59T13 2950 1743256 perfect hash family14,3481,59T9 3068 1746376 perfect hash family14,3481,59T7 3481 1749496 perfect hash family14,3481,59 3650 1805732 perfect hash family13,5329,73T23 3796 1808852 perfect hash family13,5329,73T21 4307 1811972 perfect hash family13,5329,73T14 4672 1821352 perfect hash family13,5329,73T9 5331 1827592 perfect hash family13,5331,75 5925 1940152 perfect hash family13,6241,79T4 6244 1949532 perfect hash family13,6244,82 6253 1965292 perfect hash family13,6889,83S8 6329 1968444 perfect hash family13,6889,83S7 6406 1971596 perfect hash family13,6889,83S6 6484 1974748 perfect hash family13,6889,83S5 6563 1977900 perfect hash family13,6889,83S4 6643 1981052 perfect hash family13,6889,83S3 6724 1984204 perfect hash family13,6889,83S2 6806 1987356 perfect hash family13,6889,83T1 6890 1990508 perfect hash family13,6890,84 7298 2024412 perfect hash family13,7921,89T7 7476 2027564 perfect hash family13,7921,89T5 7921 2030652 perfect hash family13,7921,89 7954 2136972 perfect hash family13,9409,97T15 8148 2140124 perfect hash family13,9409,97T13 8633 2143212 perfect hash family13,9409,97T8 9410 2152592 perfect hash family13,9410,98 10000 2190464 perfect hash family13,10609,103T5

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