Best-known CA bounds for t=6, v=2
| k | N | Array | Method / Source |
|---|---|---|---|
| 7 | 64 | orthogonal array | |
| 8 | 85 | Johnson-Entringer | |
| 9 | 108 | Torres-Jimenez | |
| 10 | 116 | simulated annealing (CKRS) | |
| 11 | 118 | Torres-Jimenez | |
| 15 | 128 | tower (TJ-IM-K-K) | |
| 16 | 179 | Torres-Jimenez | |
| 17 | 235 | Torres-Jimenez | |
| 18 | 260 | SBSTT (TJ-AG) | |
| 19 | 285 | SBSTT (TJ-AG) | |
| 20 | 300 | SBSTT (TJ-AG) | |
| 21 | 318 | SBSTT (TJ-AG) | |
| 22 | 330 | SBSTT (TJ-AG) | |
| 23 | 350 | SBSTT (TJ-AG) | |
| 24 | 357 | SBSTT (TJ-AG) | |
| 25 | 375 | SBSTT (TJ-AG) | |
| 26 | 383 | SBSTT (TJ-AG) | |
| 27 | 404 | SBSTT (TJ-AG) | |
| 28 | 415 | SBSTT (TJ-AG) | |
| 29 | 426 | SBSTT (TJ-AG) | |
| 30 | 440 | ✓ | SIPO |
| 31 | 452 | ✓ | SIPO |
| 32 | 461 | ✓ | SIPO |
| 33 | 470 | ✓ | SIPO |
| 34 | 479 | ✓ | SIPO |
| 35 | 487 | ✓ | SIPO |
| 36 | 495 | ✓ | SIPO |
| 37 | 506 | ✓ | SIPO |
| 38 | 512 | ✓ | SIPO |
| 39 | 518 | ✓ | SIPO |
| 40 | 527 | ✓ | SIPO |
| 41 | 534 | ✓ | SIPO |
| 42 | 541 | ✓ | SIPO |
| 43 | 553 | ✓ | SIPO |
| 44 | 561 | ✓ | SIPO |
| 45 | 566 | ✓ | SIPO |
| 46 | 573 | ✓ | SIPO |
| 47 | 581 | ✓ | SIPO |
| 48 | 586 | ✓ | SIPO |
| 49 | 592 | ✓ | SIPO |
| 50 | 599 | ✓ | SIPO |
| 51 | 605 | ✓ | SIPO |
| 52 | 612 | ✓ | SIPO |
| 53 | 615 | ✓ | SIPO |
| 54 | 623 | ✓ | SIPO |
| 55 | 628 | ✓ | SIPO |
| 56 | 634 | ✓ | SIPO |
| 57 | 640 | ✓ | SIPO |
| 58 | 644 | ✓ | SIPO |
| 59 | 651 | ✓ | SIPO |
| 60 | 660 | ✓ | SIPO |
| 61 | 666 | ✓ | SIPO |
| 62 | 672 | ✓ | SIPO |
| 63 | 677 | ✓ | SIPO |
| 64 | 680 | ✓ | SIPO |
| 65 | 685 | ✓ | SIPO |
| 66 | 688 | ✓ | SIPO |
| 67 | 695 | ✓ | SIPO |
| 68 | 699 | ✓ | SIPO |
| 69 | 705 | ✓ | SIPO |
| 70 | 709 | ✓ | SIPO |
| 71 | 714 | ✓ | SIPO |
| 72 | 718 | ✓ | SIPO |
| 360 | 720 | Cyclic (Colbourn-Keri) | |
| 379 | 758 | Cyclic (Colbourn-Keri) | |
| 432 | 862 | Cyclic (Colbourn-Keri) | |
| 464 | 926 | Cyclic (Colbourn-Keri) | |
| 468 | 934 | Cyclic (Colbourn-Keri) | |
| 488 | 974 | Cyclic (Colbourn-Keri) | |
| 492 | 982 | Cyclic (Colbourn-Keri) | |
| 500 | 998 | Cyclic (Colbourn-Keri) | |
| 504 | 1008 | Cyclic (Colbourn-Keri) | |
| 510 | 1018 | Cyclic (Colbourn-Keri) | |
| 522 | 1042 | Cyclic (Colbourn-Keri) | |
| 1231 | 1231 | Cyclotomy (Torres-Jimenez) | |
| 1283 | 1283 | Cyclotomy (Torres-Jimenez) | |
| 1319 | 1319 | Cyclotomy (Torres-Jimenez) | |
| 1361 | 1361 | Cyclotomy (Torres-Jimenez) | |
| 1367 | 1367 | Cyclotomy (Torres-Jimenez) | |
| 1373 | 1373 | Cyclotomy (Torres-Jimenez) | |
| 1381 | 1381 | Cyclotomy (Torres-Jimenez) | |
| 1423 | 1423 | Cyclotomy (Torres-Jimenez) | |
| 1427 | 1427 | Cyclotomy (Torres-Jimenez) | |
| 1429 | 1429 | Cyclotomy (Torres-Jimenez) | |
| 1439 | 1439 | Cyclotomy (Torres-Jimenez) | |
| 1447 | 1447 | Cyclotomy (Torres-Jimenez) | |
| 1459 | 1459 | Cyclotomy (Torres-Jimenez) | |
| 1483 | 1483 | Cyclotomy (Torres-Jimenez) | |
| 1487 | 1487 | Cyclotomy (Torres-Jimenez) | |
| 1493 | 1493 | Cyclotomy (Torres-Jimenez) | |
| 1499 | 1499 | Cyclotomy (Torres-Jimenez) | |
| 1511 | 1511 | Cyclotomy (Torres-Jimenez) | |
| 1523 | 1523 | Cyclotomy (Torres-Jimenez) | |
| 1549 | 1549 | Cyclotomy (Torres-Jimenez) | |
| 1559 | 1559 | Cyclotomy (Torres-Jimenez) | |
| 1567 | 1567 | Cyclotomy (Torres-Jimenez) | |
| 1571 | 1571 | Cyclotomy (Torres-Jimenez) | |
| 1579 | 1579 | Cyclotomy (Torres-Jimenez) | |
| 1583 | 1583 | Cyclotomy (Torres-Jimenez) | |
| 1597 | 1597 | Cyclotomy (Torres-Jimenez) | |
| 1601 | 1601 | Cyclotomy (Torres-Jimenez) | |
| 1607 | 1607 | Cyclotomy (Torres-Jimenez) | |
| 1609 | 1609 | Cyclotomy (Torres-Jimenez) | |
| 1613 | 1613 | Cyclotomy (Torres-Jimenez) | |
| 1619 | 1619 | Cyclotomy (Torres-Jimenez) | |
| 1621 | 1621 | Cyclotomy (Torres-Jimenez) | |
| 1627 | 1627 | Cyclotomy (Torres-Jimenez) | |
| 1997 | 1997 | Cyclotomy (Torres-Jimenez) | |
| 1999 | 1999 | Cyclotomy (Torres-Jimenez) | |
| 2003 | 2003 | Cyclotomy (Torres-Jimenez) | |
| 2503 | 2503 | Cyclotomy (Torres-Jimenez) | |
| 2504 | 3047 | Add 1 factors | |
| 2505 | 3591 | Add 1 factors | |
| 2506 | 4135 | Add 1 factors | |
| 2507 | 4679 | Add 1 factors | |
| 2673 | 4721 | Power CZ3-19.15-15.4 | |
| 2752 | 4839 | Power CT19^3T3cS18 | |
| 2784 | 4864 | Power CT19^3T3cS17 | |
| 2839 | 4889 | Power CZ3-19.11-18.0-17.8 | |
| 3375 | 4893 | Power CZ3-19.16-15.1-15.1-15.1 | |
| 3600 | 4943 | Power CZ3-19.16-15.1-15.1-16.1 | |
| 3840 | 4993 | Power CZ3-19.16-15.1-16.1-16.1 | |
| 4050 | 5041 | Power CZ3-19.16-15.1-15.1-18.1 | |
| 4096 | 5043 | Power CZ3-19.16-16.1-16.1-16.1 | |
| 4275 | 5065 | Power CZ3-19.17-15.1-15.1 | |
| 4320 | 5091 | Power CZ3-19.16-15.1-16.1-18.1 | |
| 4352 | 5100 | Power CZ3-19.16-16.1-16.1-17.1 | |
| 4560 | 5115 | Power CZ3-19.17-15.1-16.1 | |
| 4608 | 5141 | Power CZ3-19.16-16.1-16.1-18.1 | |
| 4624 | 5157 | Power CZ3-19.16-16.1-17.1-17.1 | |
| 4864 | 5165 | Power CZ3-19.17-16.1-16.1 | |
| 4896 | 5198 | Power CZ3-19.16-16.1-17.1-18.1 | |
| 5130 | 5213 | Power CZ3-19.17-15.1-18.1 | |
| 5168 | 5222 | Power CZ3-19.17-16.1-17.1 | |
| 5415 | 5237 | Power CZ3-19.18-15.1 | |
| 5472 | 5263 | Power CZ3-19.17-16.1-18.1 | |
| 5491 | 5279 | Power CZ3-19.17-17.1-17.1 | |
| 5776 | 5287 | Power CZ3-19.18-16.1 | |
| 5814 | 5320 | Power CZ3-19.17-17.1-18.1 | |
| 5832 | 5321 | Power CT19^3T1T1T1 | |
| 6137 | 5344 | Power CZ3-19.18-17.1 | |
| 6156 | 5346 | Power CT19^3T1T1 | |
| 6498 | 5371 | Power CT19^3T1 | |
| 6859 | 5396 | Power CT19^3 | |
| 6860 | 5681 | Power CT19^3+1 | |
| 6861 | 5975 | Power CZ3-21.19 | |
| 6930 | 6245 | Power CZ3-23.16-15.1-21.1-22.1 | |
| 6945 | 6252 | Power CZ3-23.15-22.3-15.1 | |
| 7245 | 6258 | Power CZ3-23.17-15.1-21.1 | |
| 7260 | 6265 | Power CZ3-23.16-22.2-15.1 | |
| 7590 | 6278 | Power CZ3-23.17-15.1-22.1 | |
| 7935 | 6291 | Power CZ3-23.18-15.1 | |
| 8096 | 6328 | Power CZ3-23.17-16.1-22.1 | |
| 8464 | 6341 | Power CZ3-23.18-16.1 | |
| 8602 | 6385 | Power CZ3-23.17-17.1-22.1 | |
| 8993 | 6398 | Power CZ3-23.18-17.1 | |
| 9261 | 6421 | Power CZ3-23.16-22.0-21.3 | |
| 9282 | 6428 | Power CZ3-23.15-22.2-21.2 | |
| 9303 | 6435 | Power CZ3-23.14-22.4-21.1 | |
| 9522 | 6439 | Power CZ3-23.18-18.1 | |
| 9702 | 6441 | Power CZ3-23.16-22.1-21.2 | |
| 9723 | 6448 | Power CZ3-23.15-22.3-21.1 | |
| 10000 | 6454 | Power CZ3-23.17-21.1-21.1 |
Checkmark key: ✓ array available (verified) · ✓ array available (unverified)