Table for CAN(6,k,17) 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,17) 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 18 24137569 orthogonal array 19 46771760 extended OA (Colbourn) 20 47045877 orthogonal array fuse fuse 23 70992833 5-Restricted SCPHF RE (CL) 25 72329169 4-Restricted SCPHF RE (CL) 27 72412673 SCPHF Random Extension (CLS) 29 72412705 CPHF IPO 3 (WCS) 35 93710545 5,5-Restricted SCPHF RE (CL) 38 95130385 5-Restricted SCPHF RE (CL) 41 96466721 4-Restricted SCPHF RE (CL) 42 96550225 SCPHF Random Extension (CLS) 48 96550273 CPHF IPO 4 (WCS) 53 117848097 5,5-Restricted SCPHF RE (CL) 57 119267937 5-Restricted SCPHF RE (CL) 62 120604273 4-Restricted SCPHF RE (CL) 65 120682881 3-Restricted SCPHF RE (CL) 66 120687777 SCPHF Random Extension (CLS) 77 140565809 5,5,5-Restricted SCPHF RE (CL) 86 141985649 5,5-Restricted SCPHF RE (CL) 96 143405489 5-Restricted SCPHF RE (CL) 105 144741825 4-Restricted SCPHF RE (CL) 106 144820433 3-Restricted SCPHF RE (CL) 108 144825057 2-Restricted SCPHF RE (CL) 125 164703361 5,5,5-Restricted SCPHF RE (CL) 139 166123201 5,5-Restricted SCPHF RE (CL) 156 167543041 5-Restricted SCPHF RE (CL) 167 168879377 4-Restricted SCPHF RE (CL) 171 168957985 3-Restricted SCPHF RE (CL) 176 168962609 2-Restricted SCPHF RE (CL) 177 168962881 SCPHF Random Extension (CLS) 178 168962977 CPHF Random Extension (CLS) 268 193100433 SCPHF Random Extension (CLS) 269 302601377 Add 1 factors 270 347958193 Add 2 factors 289 386200849 perfect hash family16,289,17,c 290 386201088 Power CT17^2+1 291 495702032 Add 1 factors 292 541132832 Add 2 factors 293 585231920 Add 3 factors 294 607949632 Add 4 factors 306 630667105 Add 17 factors 307 630667344 Add 17 factors 324 703079762 Power CT19^2T1T1 342 725713953 Power CT19^2T1 361 748348144 Power CT19^2 362 752734016 Power CT19^2+1 513 772401681 perfect hash family32,513,17,c 514 772402176 perfect hash family32,514,18 536 896022468 Martirosyan-TVT 620 965502160 perfect hash family5,620,268 621 1084770656 Power N-CT29^2T6T2 667 1084770688 Power N-CT29^2T6 675 1086106992 Power N-CT29^2T4T2 725 1086107024 Power N-CT29^2T4 729 1086190496 Power N-CT29^2T2T2 783 1086190528 Power N-CT29^2T2 841 1086190560 Power N-CT29^2 842 1222399728 Add 1 factors 846 1279291104 Power N-CT47^2T29 893 1301925295 Power N-CT47^2T28 940 1302199412 Power N-CT47^2T27 946 1322387552 Power N-CT41^2Trin3,6,12 1015 1323723888 Power N-CT41^2T12T6 1024 1323807392 Power N-CT41^2Trin3,3,12 1026 1325143696 Power N-CT41^2T14T3 1102 1325143728 Power N-CT41^2T12T3 1107 1326480032 Power N-CT41^2T14 1189 1326480064 Power N-CT41^2T12 1190 1327566144 Power N-CT43^2Arc(2)T14 1218 1327566192 Power N-CT43^2T14T1 1269 1327566208 Power N-CT47^2T20 1363 1327566240 Power N-CT47^2T18 1435 1347777904 Power N-CT41^2T6 1444 1347861408 Power N-CT41^2T3T3 1470 1348864032 Power N-CT43^2T8T1 1645 1348864080 Power N-CT47^2T12 1786 1350283920 Power N-CT47^2T9 1927 1351620256 Power N-CT47^2T6 1974 1351703760 Power N-CT47^2T5 2210 1351703808 Power N-CT47^2+1 2211 1533413136 Add 1 factors 2304 1607277696 Power N-CT53^2T5T5 2544 1628575520 Power N-CT53^2T5 2809 1649873344 Power N-CT53^2 2928 1664405808 Power N-CT61^2T13 3021 1684367296 Power N-CT59^2T6T2 3139 1684450800 Power N-CT59^2Trin2,2,2 3233 1685703632 Power N-CT61^2T8 3249 1685787136 Power N-CT59^2T2T2 3477 1687123472 Power N-CT61^2T4 3722 1688459808 Power N-CT61^2+1 3725 1689560320 perfect hash family14,3725,65 3726 1689628864 perfect hash family14,3726,66 3751 1729384928 Power N-CT67^2Arc(12) 3807 1749262960 Power N-CT67^2Arc(11) 3826 1767711616 Power N-CT73^2Trin7,8,8 3884 1767716512 Power N-CT73^2Trin7,7,8 3943 1767721408 Power N-CT73^2Trin7,7,7 4030 1787511040 Power N-CT73^2T11T8 4092 1787515936 Power N-CT73^2T11T7 4225 1787589648 Power N-CT73^2T8T8 4290 1787594544 Power N-CT73^2T8T7 4356 1787599440 Power N-CT73^2T7T7 4526 1807393968 Power N-CT73^2T11 4745 1807472576 Power N-CT73^2T8 4818 1807477472 Power N-CT73^2T7 4879 1821670976 Power N-CT79^2Trin2,2,14 4954 1821675872 Power N-CT79^2Trin2,2,13 5005 1823090816 Power N-CT79^2T14T2 5082 1823095712 Power N-CT79^2T13T2 5146 1824432048 Power N-CT83^2T21 5395 1824510656 Power N-CT83^2T18 5478 1824515552 Power N-CT83^2T17 5487 1838713952 Power N-CT89^2Trin3,3,23 5590 1840128896 Power N-CT89^2T24T3 5676 1840133792 Power N-CT89^2T23T3 5785 1841548736 Power N-CT89^2T24 5874 1841553632 Power N-CT89^2T23 5929 1842973744 Power N-CT79^2T2T2 6391 1844393584 Power N-CT83^2T6 6892 1845813424 Power N-CT83^2+3 6955 1858583552 perfect hash family13,11449,107T42 7062 1858588448 perfect hash family13,11449,107T41 7147 1860011824 Power N-CT89^2Trin3,3,3 7396 1861431664 Power N-CT89^2T3T3 7654 1862851504 Power N-CT89^2T3 8058 1862935008 Power N-CT97^2Arc(13)T2 8226 1864271344 Power N-CT97^2Arc(13) 8311 1865607680 Power N-CT97^2Arc(12) 8397 1866944016 Power N-CT97^2Arc(11) 8484 1868280352 Power N-CT97^2Arc(10) 8572 1869616688 Power N-CT97^2Arc(9) 8661 1870953024 Power N-CT97^2Arc(8) 8751 1872289360 Power N-CT97^2Arc(7) 8842 1873625696 Power N-CT97^2Arc(6) 8934 1874962032 Power N-CT97^2Arc(5) 9027 1876298368 Power N-CT97^2Arc(4) 9121 1877634704 Power N-CT97^2Arc(3) 9216 1878971040 Power N-CT97^2T1T1 9888 1880307376 perfect hash family13,10609,103T7 10000 1881306160 perfect hash family13,11449,107T11

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