| 5 | 81 | Derive from strength 5 |
| 6 | 111 | cross-sum (CKRS) |
| 7 | 123 | cross-sum (CKRS) |
| 9 | 135 | Derive from strength 5 |
| 11 | 159 | CPHF 3-stage (TJ-IM) |
| 12 | 189 | Torres-Jimenez |
| 13 | 212 | Torres-Jimenez |
| 15 | 231 | 2-Restricted SCPHF RE (CL) |
| 17 | 237 | SCPHF Sim Annealing (TJ-IM) |
| 20 | 271 | CPHF 3-stage (TJ-IM) |
| 21 | 278 | CPHF 3-stage (TJ-IM) |
| 22 | 288 | CPHF 3-stage (TJ-IM) |
| 23 | 296 | CPHF 3-stage (TJ-IM) |
| 27 | 337 | CPHF 3-stage (TJ-IM) |
| 28 | 353 | CPHF 3-stage (TJ-IM) |
| 30 | 361 | CPHF 3-stage (TJ-IM) |
| 33 | 378 | CPHF 3-stage (TJ-IM) |
| 34 | 380 | CPHF 3-stage (TJ-IM) |
| 35 | 389 | CPHF 3-stage (TJ-IM) |
| 36 | 396 | CPHF 3-stage (TJ-IM) |
| 37 | 403 | CPHF 3-stage (TJ-IM) |
| 40 | 420 | CPHF 3-stage (TJ-IM) |
| 41 | 436 | CPHF 3-stage (TJ-IM) |
| 42 | 441 | CPHF 3-stage (TJ-IM) |
| 43 | 450 | CPHF 3-stage (TJ-IM) |
| 44 | 453 | CPHF 3-stage (TJ-IM) |
| 45 | 454 | CPHF 3-stage (TJ-IM) |
| 46 | 463 | CPHF 3-stage (TJ-IM) |
| 47 | 465 | CPHF 3-stage (TJ-IM) |
| 48 | 471 | CPHF 3-stage (TJ-IM) |
| 49 | 484 | CPHF 3-stage (TJ-IM) |
| 51 | 488 | CPHF 3-stage (TJ-IM) |
| 53 | 506 | CPHF 3-stage (TJ-IM) |
| 54 | 509 | CPHF 3-stage (TJ-IM) |
| 55 | 512 | PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK |
| 57 | 516 | CPHF 3-stage (TJ-IM) |
| 58 | 522 | PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK |
| 60 | 526 | CPHF 3-stage (TJ-IM) |
| 63 | 531 | PGL (Maity-Akhtar-Chandrasekharan-Colbourn) |
| 66 | 546 | CPHF 3-stage (TJ-IM) |
| 67 | 548 | PGL (Maity-Akhtar-Chandrasekharan-Colbourn) postop NCK |
| 70 | 559 | CPHF 3-stage (TJ-IM) |
| 71 | 566 | CPHF 3-stage (TJ-IM) |
| 72 | 567 | PGL (Maity-Akhtar-Chandrasekharan-Colbourn) |
| 74 | 573 | CPHF 3-stage (TJ-IM) |
| 76 | 577 | CPHF 3-stage (TJ-IM) |
| 78 | 579 | CPHF 3-stage (TJ-IM) |
| 81 | 596 | CPHF 3-stage (TJ-IM) |
| 82 | 602 | CPHF 3-stage (TJ-IM) |
| 85 | 605 | CPHF 3-stage (TJ-IM) |
| 88 | 614 | CPHF 3-stage (TJ-IM) |
| 92 | 624 | CPHF 3-stage (TJ-IM) |
| 94 | 630 | CPHF 3-stage (TJ-IM) |
| 97 | 637 | CPHF 3-stage (TJ-IM) |
| 99 | 639 | CPHF 3-stage (TJ-IM) |
| 100 | 645 | Density Mult Cyclic (Colbourn) |
| 105 | 657 | Density Mult Cyclic (Colbourn) |
| 119 | 663 | simulated annealing (AG-TJ-H) |
| 150 | 666 | simulated annealing (AG-TJ-H) |
| 224 | 669 | Cyclotomy (Colbourn) |
| 230 | 687 | Cyclotomy (Colbourn) |
| 272 | 813 | Cyclotomy (Colbourn) |
| 278 | 831 | Cyclotomy (Colbourn) |
| 433 | 868 | Cyclotomy shift (AG+TJ+H) |
| 487 | 974 | Cyclotomy shift (AG+TJ+H) |
| 499 | 999 | Cyclotomy mult (Colbourn) |
| 523 | 1026 | Cyclotomy shift (AG+TJ+H) |
| 1051 | 1051 | Cyclotomy (Colbourn) |
| 1069 | 1069 | Cyclotomy (Colbourn) |
| 1087 | 1087 | Cyclotomy (Colbourn) |
| 1093 | 1093 | Cyclotomy (Colbourn) |
| 1117 | 1119 | Cyclotomy (Colbourn) |
| 1123 | 1123 | Cyclotomy (Colbourn) |
| 1129 | 1129 | Cyclotomy (Colbourn) |
| 1171 | 1171 | Cyclotomy (Colbourn) |
| 1213 | 1213 | Cyclotomy (Colbourn) |
| 1231 | 1231 | Cyclotomy (Colbourn) |
| 1249 | 1249 | Cyclotomy (Colbourn) |
| 1279 | 1279 | Cyclotomy (Colbourn) |
| 1291 | 1291 | Cyclotomy (Colbourn) |
| 1297 | 1297 | Cyclotomy (Colbourn) |
| 1303 | 1303 | Cyclotomy (Colbourn) |
| 1321 | 1323 | Cyclotomy (Colbourn) |
| 1327 | 1327 | Cyclotomy (Colbourn) |
| 1381 | 1381 | Cyclotomy (Colbourn) |
| 1399 | 1399 | Cyclotomy (Colbourn) |
| 1423 | 1423 | Cyclotomy (Colbourn) |
| 1429 | 1431 | Cyclotomy (Colbourn) |
| 1447 | 1447 | Cyclotomy (Colbourn) |
| 1453 | 1453 | Cyclotomy (Colbourn) |
| 1459 | 1459 | Cyclotomy (Colbourn) |
| 1471 | 1471 | Cyclotomy (Colbourn) |
| 1483 | 1483 | Cyclotomy (Colbourn) |
| 1489 | 1489 | Cyclotomy (Colbourn) |
| 1494 | 1521 | CPHF IPO 19 (WCS) |
| 1531 | 1531 | Cyclotomy (Colbourn) |
| 1543 | 1543 | Cyclotomy (Colbourn) |
| 1549 | 1549 | Cyclotomy (Colbourn) |
| 1567 | 1567 | Cyclotomy (Colbourn) |
| 1579 | 1579 | Cyclotomy (Colbourn) |
| 1597 | 1597 | Cyclotomy (Colbourn) |
| 2026 | 1601 | CPHF IPO 20 (WCS) |
| 2694 | 1681 | CPHF IPO 21 (WCS) |
| 3582 | 1761 | CPHF IPO 22 (WCS) |
| 4382 | 1841 | CPHF IPO 23 (WCS) |
| 4712 | 1921 | CPHF IPO 24 (WCS) |
| 4713 | 2149 | Add a factor |
| 4714 | 2203 | Add a factor |
| 6982 | 2327 | Derive from strength 5 |
| 7012 | 2337 | Derive from strength 5 |
| 7013 | 2571 | Add a factor |
| 7164 | 2601 | Colbourn-Martirosyan-TVT-Walker |
| 7168 | 2681 | Colbourn-Martirosyan-TVT-Walker |
| 8192 | 2693 | Colbourn-Martirosyan-TVT-Walker |
| 8194 | 2729 | Colbourn-Martirosyan-TVT-Walker |
| 8704 | 2735 | Colbourn-Martirosyan-TVT-Walker |
| 8764 | 2741 | Colbourn-Martirosyan-TVT-Walker |
| 9216 | 2821 | Colbourn-Martirosyan-TVT-Walker |
| 9424 | 2825 | Colbourn-Martirosyan-TVT-Walker |
| 10000 | 2871 | Colbourn-Martirosyan-TVT-Walker |