| k | N | Source |
| 5 | 38416 | Derive from strength 5 |
| 6 | 44553 | Derive from strength 5 |
| 7 | 47980 | Derive from strength 5 |
| 8 | 51670 | Add a symbol |
| 9 | 55644 | Add a symbol |
| 10 | 59924 | Add a symbol |
| 11 | 64533 | Add a symbol |
| 17 | 65532 | orthogonal array fuse fuse |
| 18 | 83515 | orthogonal array fuse fuse fuse |
| 19 | 128651 | Add a factor |
| 20 | 130311 | orthogonal array fuse fuse fuse fuse fuse |
| 21 | 147831 | Derive from strength 5 |
| 22 | 150843 | Colbourn-Martirosyan-Trung-Walker |
| 28 | 151842 | Colbourn-Martirosyan-Trung-Walker |
| 34 | 156782 | Colbourn-Martirosyan-Trung-Walker |
| 36 | 174765 | Colbourn-Martirosyan-Trung-Walker |
| 42 | 239118 | Colbourn-Martirosyan-Trung-Walker |
| 48 | 244818 | Colbourn-Martirosyan-Trung-Walker |
| 51 | 247562 | Colbourn-Martirosyan-Trung-Walker |
| 54 | 271033 | Colbourn-Martirosyan-Trung-Walker |
| 56 | 277504 | Colbourn-Martirosyan-Trung-Walker |
| 64 | 283204 | Colbourn-Martirosyan-Trung-Walker |
| 68 | 285947 | Colbourn-Martirosyan-Trung-Walker |
| 72 | 308096 | Colbourn-Martirosyan-Trung-Walker |
| 256 | 315387 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 272 | 319227 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 288 | 344890 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 289 | 402859 | Colbourn-Martirosyan-Trung-Walker fuse fuse fuse |
| 306 | 412107 | Colbourn-Martirosyan-Trung-Walker fuse fuse fuse |
| 320 | 446631 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 323 | 489031 | Colbourn-Martirosyan-Trung-Walker fuse fuse fuse |
| 368 | 492539 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 392 | 499119 | Colbourn-Martirosyan-Trung-Walker |
| 398 | 501537 | Colbourn-Martirosyan-Trung-Walker |
| 406 | 502327 | Colbourn-Martirosyan-Trung-Walker |
| 448 | 507235 | Colbourn-Martirosyan-Trung-Walker |
| 454 | 509757 | Colbourn-Martirosyan-Trung-Walker |
| 476 | 514953 | Colbourn-Martirosyan-Trung-Walker |
| 502 | 517371 | Colbourn-Martirosyan-Trung-Walker |
| 512 | 519167 | Colbourn-Martirosyan-Trung-Walker |
| 518 | 523007 | Colbourn-Martirosyan-Trung-Walker |
| 528 | 523259 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 542 | 525761 | Colbourn-Martirosyan-Trung-Walker |
| 544 | 528587 | Colbourn-Martirosyan-Trung-Walker |
| 566 | 560100 | Colbourn-Martirosyan-Trung-Walker |
| 574 | 561058 | Colbourn-Martirosyan-Trung-Walker |
| 576 | 562024 | Colbourn-Martirosyan-Trung-Walker |
| 578 | 622749 | Colbourn-Martirosyan-Trung-Walker |
| 582 | 631997 | Colbourn-Martirosyan-Trung-Walker |
| 612 | 635941 | Colbourn-Martirosyan-Trung-Walker |
| 672 | 656729 | Colbourn-Martirosyan-Trung-Walker |
| 681 | 659639 | Colbourn-Martirosyan-Trung-Walker |
| 714 | 670031 | Colbourn-Martirosyan-Trung-Walker |
| 753 | 672821 | Colbourn-Martirosyan-Trung-Walker |
| 768 | 676413 | Colbourn-Martirosyan-Trung-Walker |
| 784 | 680914 | Colbourn-Martirosyan-Trung-Walker |
| 796 | 683704 | Colbourn-Martirosyan-Trung-Walker |
| 812 | 685284 | Colbourn-Martirosyan-Trung-Walker |
| 813 | 691249 | Colbourn-Martirosyan-Trung-Walker |
| 896 | 695100 | Colbourn-Martirosyan-Trung-Walker |
| 908 | 698010 | Colbourn-Martirosyan-Trung-Walker |
| 952 | 708402 | Colbourn-Martirosyan-Trung-Walker |
| 1004 | 711192 | Colbourn-Martirosyan-Trung-Walker |
| 1024 | 714784 | Colbourn-Martirosyan-Trung-Walker |
| 1036 | 724110 | Colbourn-Martirosyan-Trung-Walker |
| 1052 | 725930 | Colbourn-Martirosyan-Trung-Walker |
| 1084 | 729618 | Colbourn-Martirosyan-Trung-Walker |
| 1176 | 731739 | Colbourn-Martirosyan-Trung-Walker |
| 1194 | 734529 | Colbourn-Martirosyan-Trung-Walker |
| 1218 | 736899 | Colbourn-Martirosyan-Trung-Walker |
| 4096 | 738042 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 4112 | 749562 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 4144 | 750074 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 4336 | 753188 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 4352 | 756374 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 4913 | 786372 | Power N17^3 |
| 4914 | 917594 | Add a factor |
| 4976 | 966462 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 5120 | 969888 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 5202 | 982609 | Colbourn-Martirosyan-Trung-Walker fuse fuse fuse |
| 5296 | 1036585 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 5376 | 1044971 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 5632 | 1045196 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 5744 | 1045871 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 5776 | 1048339 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 5872 | 1079059 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 5888 | 1080305 | Colbourn-Martirosyan-Trung-Walker fuse fuse |
| 6272 | 1107026 | Colbourn-Martirosyan-Trung-Walker |
| 7168 | 1109444 | Colbourn-Martirosyan-Trung-Walker |
| 7616 | 1111966 | Colbourn-Martirosyan-Trung-Walker |
| 8192 | 1114384 | Colbourn-Martirosyan-Trung-Walker |
| 8224 | 1125904 | Colbourn-Martirosyan-Trung-Walker |
| 8288 | 1126416 | Colbourn-Martirosyan-Trung-Walker |
| 8672 | 1129530 | Colbourn-Martirosyan-Trung-Walker |
| 8704 | 1132716 | Colbourn-Martirosyan-Trung-Walker |
| 9216 | 1168564 | Colbourn-Martirosyan-Trung-Walker |
| 9248 | 1174245 | Colbourn-Martirosyan-Trung-Walker |
| 9760 | 1177170 | Colbourn-Martirosyan-Trung-Walker |
| 9826 | 1177560 | Colbourn-Martirosyan-Trung-Walker |
| 9828 | 1308782 | Colbourn-Martirosyan-Trung-Walker |
| 10000 | 1355572 | Colbourn-Martirosyan-Trung-Walker |