| k | N | Source |
| 6 | 64 | orthogonal array |
| 8 | 88 | Chateauneuf-Kreher NRB |
| 10 | 112 | Chateauneuf-Kreher doubling |
| 12 | 121 | Chateauneuf-Kreher doubling |
| 16 | 124 | Sherwood-Martirosyan-Colbourn |
| 38 | 152 | Cyclotomy (Colbourn) |
| 41 | 164 | Cyclotomy (Colbourn) |
| 42 | 176 | Cyclotomy (Colbourn) |
| 54 | 212 | Cyclotomy (Colbourn) |
| 64 | 244 | Sherwood-Martirosyan-Colbourn |
| 68 | 251 | Chateauneuf-Kreher doubling |
| 76 | 254 | Chateauneuf-Kreher doubling |
| 82 | 269 | Chateauneuf-Kreher doubling |
| 84 | 281 | Chateauneuf-Kreher doubling |
| 96 | 284 | Colbourn-Martirosyan-Trung-Walker |
| 116 | 293 | Colbourn-Martirosyan-Trung-Walker |
| 120 | 296 | Colbourn-Martirosyan-Trung-Walker |
| 136 | 299 | Colbourn-Martirosyan-Trung-Walker |
| 152 | 302 | Colbourn-Martirosyan-Trung-Walker |
| 164 | 317 | Colbourn-Martirosyan-Trung-Walker |
| 168 | 329 | Colbourn-Martirosyan-Trung-Walker |
| 190 | 360 | Cohen-Colbourn-Ling |
| 222 | 364 | Sherwood-Martirosyan-Colbourn |
| 228 | 387 | Cohen-Colbourn-Ling |
| 246 | 399 | Cohen-Colbourn-Ling |
| 256 | 409 | Colbourn-Martirosyan-Trung-Walker |
| 272 | 416 | Colbourn-Martirosyan-Trung-Walker |
| 276 | 419 | Colbourn-Martirosyan-Trung-Walker |
| 304 | 422 | Colbourn-Martirosyan-Trung-Walker |
| 328 | 437 | Colbourn-Martirosyan-Trung-Walker |
| 384 | 444 | Cohen-Colbourn-Ling |
| 464 | 461 | Colbourn-Martirosyan-Trung-Walker |
| 480 | 468 | Cohen-Colbourn-Ling |
| 544 | 474 | Cohen-Colbourn-Ling |
| 560 | 479 | Colbourn-Martirosyan-Trung-Walker |
| 608 | 480 | Cohen-Colbourn-Ling |
| 656 | 498 | Cohen-Colbourn-Ling |
| 672 | 510 | Cohen-Colbourn-Ling |
| 736 | 546 | Colbourn-Martirosyan-Trung-Walker |
| 760 | 549 | Colbourn-Martirosyan-Trung-Walker |
| 800 | 552 | Cohen-Colbourn-Ling |
| 816 | 553 | Colbourn-Martirosyan-Trung-Walker |
| 912 | 556 | Cohen-Colbourn-Ling |
| 984 | 568 | Cohen-Colbourn-Ling |
| 1008 | 580 | Cohen-Colbourn-Ling |
| 1102 | 583 | Cohen-Colbourn-Ling |
| 1140 | 592 | Cohen-Colbourn-Ling |
| 1189 | 595 | Cohen-Colbourn-Ling |
| 1292 | 601 | Cohen-Colbourn-Ling |
| 1444 | 604 | Power 38^2 |
| 1558 | 622 | Cohen-Colbourn-Ling |
| 1596 | 634 | Cohen-Colbourn-Ling |
| 1681 | 643 | Cohen-Colbourn-Ling |
| 1722 | 655 | Cohen-Colbourn-Ling |
| 1856 | 657 | Cohen-Colbourn-Ling |
| 2052 | 670 | Cohen-Colbourn-Ling |
| 2176 | 678 | Colbourn-Martirosyan-Trung-Walker |
| 2240 | 683 | Colbourn-Martirosyan-Trung-Walker |
| 2304 | 690 | Cohen-Colbourn-Ling |
| 2432 | 693 | Colbourn-Martirosyan-Trung-Walker |
| 2624 | 711 | Colbourn-Martirosyan-Trung-Walker |
| 2688 | 723 | Colbourn-Martirosyan-Trung-Walker |
| 3417 | 738 | Power N17^3S6 |
| 3630 | 766 | Power N17^3S5 |
| 3648 | 781 | Colbourn-Martirosyan-Trung-Walker |
| 3936 | 793 | Colbourn-Martirosyan-Trung-Walker |
| 4408 | 805 | Cohen-Colbourn-Ling |
| 4736 | 814 | Power N37^3T29T21 |
| 4756 | 817 | Cohen-Colbourn-Ling |
| 8214 | 818 | Power N37^3T31 |
| 10000 | 842 | Power N37^3T29 |