Best-known CA bounds for t=5, v=18
| k | N | Array | Method / Source |
|---|---|---|---|
| 6 | 1889568 | Derive from strength 6 | |
| 7 | 1955178 | Ji-Li-Yin | |
| 8 | 2235668 | Augment OA | |
| 9 | 2360788 | Augment OA | |
| 20 | 2476097 | orthogonal array fuse | |
| 21 | 4444632 | extended OA (Colbourn) special fuse | |
| 22 | 4945337 | 3-Restricted SCPHF RE (CL) fuse | |
| 23 | 4952195 | CPHF IPO 2 (WCS) fuse | |
| 24 | 6436333 | orthogonal array fuse fuse fuse fuse fuse | |
| 37 | 7297955 | 4-Restricted SCPHF RE (CL) fuse | |
| 40 | 7421417 | 3-Restricted SCPHF RE (CL) fuse | |
| 41 | 7428257 | SCPHF Random Extension (CLS) fuse | |
| 45 | 7428293 | CPHF IPO 3 (WCS) fuse | |
| 60 | 9643733 | 4,4-Restricted SCPHF RE (CL) fuse | |
| 68 | 9774035 | 4-Restricted SCPHF RE (CL) fuse | |
| 75 | 9897497 | 3-Restricted SCPHF RE (CL) fuse | |
| 77 | 9903995 | 2-Restricted SCPHF RE (CL) fuse | |
| 78 | 9904337 | SCPHF Random Extension (CLS) fuse | |
| 89 | 9904391 | CPHF IPO 4 (WCS) fuse | |
| 107 | 12119813 | 4,4-Restricted SCPHF RE (CL) fuse | |
| 126 | 12250115 | 4-Restricted SCPHF RE (CL) fuse | |
| 136 | 12373577 | 3-Restricted SCPHF RE (CL) fuse | |
| 143 | 12380075 | 2-Restricted SCPHF RE (CL) fuse | |
| 180 | 14465591 | 4,4,4-Restricted SCPHF RE (CL) fuse | |
| 207 | 14595893 | 4,4-Restricted SCPHF RE (CL) fuse | |
| 233 | 14726195 | 4-Restricted SCPHF RE (CL) fuse | |
| 258 | 14849657 | 3-Restricted SCPHF RE (CL) fuse | |
| 262 | 14856155 | 2-Restricted SCPHF RE (CL) fuse | |
| 269 | 14856587 | CPHF Random Extension (CLS) fuse | |
| 343 | 16941671 | 4,4,4-Restricted SCPHF RE (CL) fuse | |
| 373 | 17071973 | 4,4-Restricted SCPHF RE (CL) fuse | |
| 446 | 17202275 | 4-Restricted SCPHF RE (CL) fuse | |
| 461 | 17325737 | 3-Restricted SCPHF RE (CL) fuse | |
| 466 | 17332235 | 2-Restricted SCPHF RE (CL) fuse | |
| 470 | 17332577 | SCPHF Random Extension (CLS) fuse | |
| 473 | 17332685 | CPHF Random Extension (CLS) fuse | |
| 597 | 19417751 | 4,4,4-Restricted SCPHF RE (CL) fuse | |
| 671 | 19548053 | 4,4-Restricted SCPHF RE (CL) fuse | |
| 723 | 19678355 | 4-Restricted SCPHF RE (CL) fuse | |
| 838 | 19801817 | 3-Restricted SCPHF RE (CL) fuse | |
| 851 | 19808315 | 2-Restricted SCPHF RE (CL) fuse | |
| 852 | 26957699 | Add 1 factors | |
| 853 | 32118695 | Add 2 factors | |
| 854 | 35653553 | Add 3 factors | |
| 855 | 36240984 | Add 4 factors | |
| 856 | 36454581 | Add 5 factors | |
| 857 | 38429531 | Add 19 factors | |
| 860 | 38436029 | Add 19 factors | |
| 870 | 38455523 | Add 19 factors | |
| 871 | 45604907 | Add 19 factors | |
| 872 | 50765903 | Add 19 factors | |
| 873 | 54300761 | Add 19 factors | |
| 874 | 54888192 | Add 19 factors | |
| 875 | 55101789 | Add 19 factors | |
| 878 | 56929368 | perfect hash family3,1254,837T376 | |
| 883 | 56935866 | perfect hash family3,1254,837T371 | |
| 887 | 56936208 | perfect hash family3,1254,837T367 | |
| 890 | 56936316 | perfect hash family3,1254,837T364 | |
| 894 | 56949204 | perfect hash family3,1275,851T381 | |
| 897 | 56949312 | perfect hash family3,1275,851T378 | |
| 931 | 58513854 | perfect hash family3,1005,671T74 | |
| 1005 | 58644156 | perfect hash family3,1005,671 | |
| 1031 | 58904760 | perfect hash family3,1083,723T52 | |
| 1083 | 59035062 | perfect hash family3,1083,723 | |
| 1088 | 59151684 | perfect hash family3,1254,837T166 | |
| 1095 | 59164680 | perfect hash family3,1275,851T180 | |
| 1140 | 59281986 | perfect hash family3,1254,837T114 | |
| 1147 | 59294982 | perfect hash family3,1275,851T128 | |
| 1255 | 59405448 | perfect hash family3,1255,838 | |
| 1262 | 59418444 | perfect hash family3,1275,851T13 | |
| 1275 | 59424942 | perfect hash family3,1275,851 | |
| 1276 | 66574326 | Add 1 factors | |
| 1336 | 66586860 | Power N-CT41^2Trin1,4,4 | |
| 1369 | 66593700 | Power N-CT41^2T4T4 | |
| 1375 | 66696642 | Power N-CT41^2Arc(4)T4 | |
| 1409 | 66703482 | Power N-CT41^2Arc(3)T4 | |
| 1444 | 66710322 | Power N-CT41^2Arc(2)T4 | |
| 1480 | 66717162 | Power N-CT41^2T4T1 | |
| 1517 | 66724002 | Power N-CT41^2T4 | |
| 1591 | 66724290 | Power N-CT43^2T6 | |
| 1600 | 66840624 | Power N-CT41^2T1T1 | |
| 1640 | 66847464 | Power N-CT41^2T1 | |
| 1720 | 66847752 | Power N-CT43^2T3 | |
| 1763 | 66854592 | Power N-CT43^2T2 | |
| 1851 | 66854628 | Power N-CT43^2+2 | |
| 1865 | 75716128 | perfect hash family4,3125,625T252 | |
| 2230 | 75846430 | perfect hash family4,3125,625T179 | |
| 2305 | 75969892 | perfect hash family4,3125,625T164 | |
| 2330 | 75976390 | perfect hash family4,3125,625T159 | |
| 2350 | 75976732 | perfect hash family4,3125,625T155 | |
| 2365 | 75976840 | perfect hash family4,3125,625T152 | |
| 2985 | 78061906 | perfect hash family4,3125,625T28 | |
| 3125 | 78192208 | perfect hash family4,3125,625 | |
| 3293 | 86533074 | Power N-CT89^2T52 | |
| 3334 | 86656464 | Power N-CT79^2Trin1,4,34 | |
| 3375 | 86656518 | Power N-CT79^2T34T4 | |
| 3560 | 86656536 | Power N-CT89^2T49 | |
| 3649 | 86663376 | Power N-CT89^2T48 | |
| 4005 | 86663412 | Power N-CT89^2T44 | |
| 4020 | 87836004 | Power N-CT67^2T7 | |
| 4490 | 87966306 | Power N-CT67^2+1 | |
| 4624 | 88830540 | Power N-CT71^2T3T3 | |
| 4680 | 88878798 | Power N-CT79^2T19T1 | |
| 5340 | 88878852 | Power N-CT89^2T29 | |
| 6052 | 89009154 | Power N-CT89^2T21 | |
| 6675 | 89132616 | Power N-CT89^2T14 | |
| 6853 | 89139114 | Power N-CT89^2T12 | |
| 6942 | 89139456 | Power N-CT89^2T11 | |
| 7921 | 89139510 | Power N-CT89^2 | |
| 8000 | 96567780 | Power CT23^3T3T3T3 | |
| 8400 | 98536315 | Power CT23^3T3T3T2 | |
| 8800 | 99037020 | Power CT23^3T3T3T1 | |
| 9200 | 99043878 | Power CT23^3T3T3 | |
| 9240 | 101005555 | Power CT23^3T3T2T1 | |
| 9660 | 101012413 | Power CT23^3T3T2 | |
| 9680 | 101506260 | Power CT23^3T3T1T1 | |
| 10000 | 101513118 | Power CT23^3T3T1 |
Checkmark key: ✓ array available (verified) · ✓ array available (unverified)