Best-known CA bounds for t=5, v=9
| k | N | Array | Method / Source |
|---|---|---|---|
| 10 | 59049 | orthogonal array | |
| 11 | 110808 | extended OA (Colbourn) | |
| 14 | 111537 | 4-Restricted SCPHF RE (CL) | |
| 15 | 117369 | 3-Restricted SCPHF RE (CL) | |
| 16 | 118089 | SCPHF Random Extension (CLS) | |
| 22 | 170577 | 4-Restricted SCPHF RE (CL) | |
| 24 | 176409 | 3-Restricted SCPHF RE (CL) | |
| 25 | 177129 | SCPHF Random Extension (CLS) | |
| 26 | 177145 | CPHFIPO | |
| 33 | 223065 | 4,4-Restricted SCPHF RE (CL) | |
| 36 | 228897 | 4,3-restricted SCPHF RE (CL) | |
| 38 | 234729 | 3,3-Restricted SCPHF RE (CL) | |
| 39 | 235377 | 3,2-restricted SCPHF RE (CL) | |
| 43 | 236193 | CPHFIPO | |
| 51 | 282105 | 4,4-Restricted SCPHF RE (CL) | |
| 55 | 288657 | 4-Restricted SCPHF RE (CL) | |
| 60 | 294489 | 3-Restricted SCPHF RE (CL) | |
| 61 | 295137 | 2-Restricted SCPHF RE (CL) | |
| 62 | 295209 | SCPHF Random Extension (CLS) | |
| 70 | 295241 | CPHFIPO | |
| 73 | 334593 | 4,4,4-Restricted SCPHF RE (CL) | |
| 77 | 341145 | 4,4-Restricted SCPHF RE (CL) | |
| 88 | 347697 | 4-Restricted SCPHF RE (CL) | |
| 91 | 353529 | 3-Restricted SCPHF RE (CL) | |
| 92 | 354177 | 2-Restricted SCPHF RE (CL) | |
| 95 | 354249 | SCPHF Random Extension (CLS) | |
| 115 | 354289 | CPHFIPO | |
| 118 | 400185 | 4,4-Restricted SCPHF RE (CL) | |
| 133 | 406737 | 4-Restricted SCPHF RE (CL) | |
| 147 | 412569 | 3-Restricted SCPHF RE (CL) | |
| 149 | 413217 | 2-Restricted SCPHF RE (CL) | |
| 187 | 413337 | CPHFIPO | |
| 214 | 465777 | 4-Restricted SCPHF RE (CL) | |
| 224 | 471609 | 3-Restricted SCPHF RE (CL) | |
| 229 | 472257 | 2-Restricted SCPHF RE (CL) | |
| 231 | 472385 | CPHF Random Extension (CLS) | |
| 254 | 511713 | 4,4,4-Restricted SCPHF RE (CL) | |
| 283 | 518265 | 4,4-Restricted SCPHF RE (CL) | |
| 324 | 524817 | 4-Restricted SCPHF RE (CL) | |
| 353 | 530649 | 3-Restricted SCPHF RE (CL) | |
| 355 | 531297 | 2-Restricted SCPHF RE (CL) | |
| 374 | 531369 | SCPHF Random Extension (CLS) | |
| 405 | 570753 | 4,4,4-Restricted SCPHF RE (CL) | |
| 445 | 577305 | 4,4-Restricted SCPHF RE (CL) | |
| 483 | 583857 | 4-Restricted SCPHF RE (CL) | |
| 542 | 589689 | 3-Restricted SCPHF RE (CL) | |
| 546 | 590337 | 2-Restricted SCPHF RE (CL) | |
| 568 | 590409 | SCPHF Random Extension (CLS) | |
| 629 | 629793 | 4,4,4-Restricted SCPHF RE (CL) | |
| 690 | 636345 | 4,4-Restricted SCPHF RE (CL) | |
| 755 | 642897 | 4-Restricted SCPHF RE (CL) | |
| 818 | 648729 | 3-Restricted SCPHF RE (CL) | |
| 819 | 888417 | Add 1 factors | |
| 820 | 1034217 | Add 2 factors | |
| 821 | 1086705 | Add 3 factors | |
| 827 | 1139193 | Add 9 factors | |
| 828 | 1378881 | Add 9 factors | |
| 829 | 1524681 | Add 9 factors | |
| 830 | 1577673 | Add 9 factors | |
| 836 | 1644633 | Add 9 factors | |
| 850 | 1771224 | perfect hash family3,850,568 | |
| 855 | 1849272 | perfect hash family3,942,629T87 | |
| 859 | 1849920 | perfect hash family3,942,629T83 | |
| 881 | 1849992 | perfect hash family3,942,629T61 | |
| 885 | 1862376 | perfect hash family3,1032,689T147 | |
| 889 | 1863024 | perfect hash family3,1032,689T143 | |
| 911 | 1863096 | perfect hash family3,1032,689T121 | |
| 918 | 1875480 | perfect hash family3,1131,755T213 | |
| 922 | 1876128 | perfect hash family3,1131,755T209 | |
| 944 | 1876200 | perfect hash family3,1131,755T187 | |
| 949 | 1887144 | perfect hash family3,1224,817T275 | |
| 953 | 1887792 | perfect hash family3,1224,817T271 | |
| 975 | 1887864 | perfect hash family3,1224,817T249 | |
| 1033 | 1909032 | perfect hash family3,1033,690 | |
| 1066 | 1922136 | perfect hash family3,1131,755T65 | |
| 1131 | 1928688 | perfect hash family3,1131,755 | |
| 1162 | 1940352 | perfect hash family3,1224,817T62 | |
| 1225 | 1946184 | perfect hash family3,1225,818 | |
| 1258 | 2060042 | Martirosyan-Colbourn | |
| 1344 | 2066594 | Martirosyan-Colbourn | |
| 1380 | 2112290 | Martirosyan-Colbourn | |
| 1419 | 2112600 | Power N-CT43^2T10 | |
| 1548 | 2118432 | Power N-CT43^2T7 | |
| 1634 | 2124264 | Power N-CT43^2T5 | |
| 1677 | 2124912 | Power N-CT43^2T4 | |
| 1849 | 2125728 | Power N-CT43^2 | |
| 1870 | 2420744 | perfect hash family4,3125,625T251 | |
| 2025 | 2460128 | perfect hash family4,3125,625T220 | |
| 2225 | 2466680 | perfect hash family4,3125,625T180 | |
| 2415 | 2473232 | perfect hash family4,3125,625T142 | |
| 2710 | 2479064 | perfect hash family4,3125,625T83 | |
| 2730 | 2479712 | perfect hash family4,3125,625T79 | |
| 2840 | 2479784 | perfect hash family4,3125,625T57 | |
| 3125 | 2519168 | perfect hash family4,3125,625 | |
| 3198 | 2604672 | Power N-CT71^2Arc(9)T20 | |
| 3446 | 2611224 | Power N-CT71^2Arc(9)T16 | |
| 3756 | 2617056 | Power N-CT71^2Arc(9)T11 | |
| 3818 | 2617704 | Power N-CT71^2Arc(9)T10 | |
| 3880 | 2617776 | Power N-CT71^2Arc(9)T9 | |
| 4314 | 2617808 | Power N-CT71^2Arc(9)T2 | |
| 4492 | 2657160 | Power N-CT67^2+3 | |
| 4501 | 2696512 | Power N-CT71^2Arc(8) | |
| 4565 | 2735864 | Power N-CT71^2Arc(7) | |
| 4630 | 2775216 | Power N-CT71^2Arc(6) | |
| 4696 | 2814568 | Power N-CT71^2Arc(5) | |
| 4763 | 2853920 | Power N-CT71^2Arc(4) | |
| 4831 | 2893272 | Power N-CT71^2Arc(3) | |
| 4900 | 2932624 | Power N-CT71^2T1T1 | |
| 5110 | 2971976 | Power N-CT73^2T3 | |
| 5329 | 3011328 | Power N-CT73^2 | |
| 5390 | 3070256 | Power N-CT79^2T9T2 | |
| 5636 | 3070976 | Power N-CT89^2Arc(9)T19 | |
| 5810 | 3076808 | Power N-CT83^2T13 | |
| 5825 | 3088472 | Power N-CT89^2Arc(6)T19 | |
| 5890 | 3094304 | Power N-CT89^2Arc(5)T19 | |
| 5956 | 3100136 | Power N-CT89^2Arc(4)T19 | |
| 6023 | 3105968 | Power N-CT89^2Arc(3)T19 | |
| 6091 | 3111800 | Power N-CT89^2Arc(2)T19 | |
| 6196 | 3116880 | Power N-CT89^2Arc(9)T12 | |
| 6391 | 3122712 | Power N-CT83^2T6 | |
| 6996 | 3123432 | Power N-CT89^2Arc(9)T2 | |
| 7156 | 3129264 | Power N-CT89^2Arc(9) | |
| 7910 | 3129544 | perfect hash family9,12769,113T43 | |
| 8249 | 3168896 | perfect hash family9,12769,113T40 | |
| 8701 | 3175448 | perfect hash family9,12769,113T36 | |
| 9944 | 3182000 | perfect hash family9,12769,113T25 | |
| 10000 | 3187832 | perfect hash family9,12769,113T22 |
Checkmark key: ✓ array available (verified) · ✓ array available (unverified)