Table for CAN(5,k,19) for k up to 10000

Last Updated Sat Nov 16 07:54:02 MST 2019

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,19) 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 20 2476099 orthogonal array 21 4815018 extended OA (Colbourn) 22 4945339 3-Restricted SCPHF RE (CL) 24 6436335 orthogonal array fuse fuse fuse fuse 37 7297957 4-Restricted SCPHF RE (CL) 40 7421419 3-Restricted SCPHF RE (CL) 41 7428259 SCPHF Random Extension (CLS) 60 9643735 4,4-Restricted SCPHF RE (CL) 68 9774037 4-Restricted SCPHF RE (CL) 75 9897499 3-Restricted SCPHF RE (CL) 77 9903997 2-Restricted SCPHF RE (CL) 78 9904339 SCPHF Random Extension (CLS) 107 12119815 4,4-Restricted SCPHF RE (CL) 126 12250117 4-Restricted SCPHF RE (CL) 136 12373579 3-Restricted SCPHF RE (CL) 143 12380077 2-Restricted SCPHF RE (CL) 180 14465593 4,4,4-Restricted SCPHF RE (CL) 207 14595895 4,4-Restricted SCPHF RE (CL) 233 14726197 4-Restricted SCPHF RE (CL) 258 14849659 3-Restricted SCPHF RE (CL) 262 14856157 2-Restricted SCPHF RE (CL) 269 14856589 CPHF Random Extension (CLS) 343 16941673 4,4,4-Restricted SCPHF RE (CL) 373 17071975 4,4-Restricted SCPHF RE (CL) 446 17202277 4-Restricted SCPHF RE (CL) 461 17325739 3-Restricted SCPHF RE (CL) 466 17332237 2-Restricted SCPHF RE (CL) 470 17332579 SCPHF Random Extension (CLS) 473 17332687 CPHF Random Extension (CLS) 597 19417753 4,4,4-Restricted SCPHF RE (CL) 671 19548055 4,4-Restricted SCPHF RE (CL) 723 19678357 4-Restricted SCPHF RE (CL) 838 19801819 3-Restricted SCPHF RE (CL) 851 19808317 2-Restricted SCPHF RE (CL) 852 28938007 Add 1 factors 853 35449003 Add 2 factors 854 37794781 Add 3 factors 857 40134061 Add 19 factors 870 40140559 Add 19 factors 871 49270249 Add 19 factors 872 55781245 Add 19 factors 878 56929374 perfect hash family3,1254,837T376 883 56935872 perfect hash family3,1254,837T371 887 56936214 perfect hash family3,1254,837T367 890 56936322 perfect hash family3,1254,837T364 894 56949210 perfect hash family3,1275,851T381 897 56949318 perfect hash family3,1275,851T378 931 58513860 perfect hash family3,1005,671T74 1005 58644162 perfect hash family3,1005,671 1031 58904766 perfect hash family3,1083,723T52 1083 59035068 perfect hash family3,1083,723 1088 59151690 perfect hash family3,1254,837T166 1095 59164686 perfect hash family3,1275,851T180 1140 59281992 perfect hash family3,1254,837T114 1147 59294988 perfect hash family3,1275,851T128 1255 59405454 perfect hash family3,1255,838 1262 59418450 perfect hash family3,1275,851T13 1275 59424948 perfect hash family3,1275,851 1336 66586878 Power N-CT41^2Trin1,4,4 1369 66593718 Power N-CT41^2T4T4 1375 66696660 Power N-CT41^2Arc(4)T4 1409 66703500 Power N-CT41^2Arc(3)T4 1444 66710340 Power N-CT41^2Arc(2)T4 1480 66717180 Power N-CT41^2T4T1 1517 66724020 Power N-CT41^2T4 1523 66826962 Power N-CT41^2Arc(4) 1561 66833802 Power N-CT41^2Arc(3) 1600 66840642 Power N-CT41^2T1T1 1640 66847482 Power N-CT41^2T1 1681 66854322 Power N-CT41^2 1715 75585834 perfect hash family4,3125,625T282 1865 75716136 perfect hash family4,3125,625T252 2230 75846438 perfect hash family4,3125,625T179 2305 75969900 perfect hash family4,3125,625T164 2330 75976398 perfect hash family4,3125,625T159 2350 75976740 perfect hash family4,3125,625T155 2365 75976848 perfect hash family4,3125,625T152 2985 78061914 perfect hash family4,3125,625T28 3125 78192216 perfect hash family4,3125,625 4236 86662962 Power N-CT79^2Arc(9)T19 4796 86793264 Power N-CT79^2Arc(9)T11 5286 86916726 Power N-CT79^2Arc(9)T4 5426 86923224 Power N-CT79^2Arc(9)T2 5495 89138700 Power N-CT79^2Arc(8)T2 5566 89139042 Power N-CT79^2Arc(9) 5637 91354518 Power N-CT79^2Arc(8) 5709 93569994 Power N-CT79^2Arc(7) 5782 95785470 Power N-CT79^2Arc(6) 5856 98000946 Power N-CT79^2Arc(5) 5931 100216422 Power N-CT79^2Arc(4) 6007 102431898 Power N-CT79^2Arc(3) 6084 104647374 Power N-CT79^2T1T1 6420 106602246 perfect hash family9,11449,107T47 7276 106732548 perfect hash family9,11449,107T39 8025 106856010 perfect hash family9,11449,107T32 8239 106862508 perfect hash family9,11449,107T30 8346 106862850 perfect hash family9,11449,107T29 8968 107898426 perfect hash family9,14986,126T51 9204 107904924 perfect hash family9,14986,126T49 9322 107905266 perfect hash family9,14986,126T48 10000 109078326 Power N-CT101^2

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