**k** | **N** | **Source** |

6 | 196 | orthogonal array |

7 | 210 | Holey Transversal Design |

10 | 221 | Add a symbol (binary) |

11 | 228 | Add a symbol (binary) |

12 | 232 | Add a symbol (binary) |

13 | 234 | Add a symbol (binary) |

14 | 241 | orthogonal array fuse fuse postop TJ-SA |

15 | 242 | orthogonal array fuse fuse postop TJ-SA |

16 | 243 | orthogonal array fuse fuse postop TJ-SA |

17 | 244 | orthogonal array fuse fuse postop TJ-SA |

18 | 247 | projection (C) postop TJ-SA |

19 | 248 | Fix 1 symbols (LCDST) |

20 | 272 | projection (C) postop TJ-SA |

21 | 274 | Fix 1 symbols (LCDST) |

22 | 287 | Fix 1 symbols (LCDST) |

23 | 300 | Fix 1 symbols (Meagher-Stevens) |

24 | 306 | double proj (C) postop NCK |

25 | 322 | projection (C) postop NCK |

27 | 329 | simulated annealing (Torres-Jimenez) |

30 | 330 | Fix 4 symbols (LCDST) |

31 | 341 | Fix 4 symbols (LCDST) |

33 | 342 | Fix 5 symbols (LCDST) |

34 | 351 | Fix 5 symbols (LCDST) |

35 | 360 | Fix 5 symbols (LCDST) |

36 | 370 | Fix 5 symbols (LCDST) |

37 | 381 | Fix 5 symbols (LCDST) |

38 | 388 | Fix 5 symbols (LCDST) postop TJ-SA |

40 | 391 | simulated annealing (Torres-Jimenez) |

50 | 392 | Holey Transversal Design |

60 | 403 | PCAxPCA |

102 | 405 | Direct product |

108 | 418 | Direct product |

119 | 419 | Direct product |

126 | 429 | Add a symbol (binary) |

170 | 431 | Direct product |

171 | 437 | Direct product generalized |

187 | 438 | Direct product |

188 | 441 | Direct product generalized |

204 | 442 | Direct product |

205 | 443 | Direct product generalized |

221 | 444 | Direct product |

224 | 452 | Direct product generalized |

272 | 453 | Direct product |

289 | 454 | Direct product |

290 | 456 | Direct product generalized |

306 | 457 | Direct product |

307 | 459 | Direct product generalized |

323 | 460 | Direct product |

324 | 470 | Direct product |

327 | 472 | Direct product generalized |

342 | 473 | Direct product |

360 | 482 | PCAxPCA |

361 | 485 | Direct product |

369 | 487 | Direct product generalized |

371 | 489 | Direct product generalized |

375 | 496 | Direct product generalized |

378 | 498 | Direct product |

379 | 500 | Direct product generalized |

380 | 501 | Direct product generalized |

390 | 503 | Direct product generalized |

398 | 508 | PCAxPCA |

399 | 510 | Direct product |

407 | 512 | Direct product generalized |

419 | 514 | Direct product generalized |

425 | 517 | Direct product generalized |

436 | 524 | Direct product generalized |

439 | 532 | Direct product generalized |

440 | 534 | PCAxPCA |

445 | 536 | Direct product generalized |

457 | 538 | Direct product generalized |

467 | 539 | Direct product generalized |

471 | 542 | Direct product generalized |

475 | 546 | Direct product generalized |

481 | 549 | Direct product generalized |

510 | 551 | Direct product |

511 | 561 | Direct product generalized |

527 | 562 | Direct product |

561 | 563 | Direct product |

562 | 564 | PCAxPCA |

570 | 567 | Direct product |

578 | 572 | Direct product |

581 | 575 | PCAxPCA |

594 | 576 | Direct product |

617 | 577 | PCAxPCA |

627 | 579 | Direct product |

636 | 586 | PCAxPCA |

646 | 588 | Direct product |

670 | 592 | Direct product generalized |

672 | 596 | Direct product generalized |

692 | 600 | Direct product generalized |

850 | 601 | Direct product |

1020 | 612 | PCAxPCA |

1734 | 614 | Direct product |

1740 | 626 | Direct product generalized |

1836 | 627 | Direct product |

2023 | 628 | Direct product |

2066 | 639 | Direct product generalized |

2754 | 640 | Direct product |

2880 | 641 | Direct product generalized |

3026 | 647 | Direct product |

3168 | 648 | Direct product generalized |

3298 | 651 | Direct product |

3456 | 652 | Direct product generalized |

3570 | 653 | Direct product |

3744 | 654 | Direct product generalized |

3757 | 661 | Direct product |

4386 | 662 | Direct product |

4658 | 663 | Direct product |

4913 | 664 | Direct product |

4930 | 665 | Direct product generalized |

5202 | 666 | Direct product |

5219 | 669 | Direct product generalized |

5491 | 670 | Direct product |

5492 | 678 | Direct product generalized |

5508 | 679 | Direct product |

5562 | 681 | Direct product generalized |

5814 | 683 | Direct product |

5871 | 685 | Direct product generalized |

5975 | 693 | Direct product generalized |

6120 | 694 | PCAxPCA |

6137 | 695 | PCAxPCA |

6273 | 696 | Direct product |

6323 | 697 | Direct product generalized |

6340 | 698 | Direct product generalized |

6389 | 699 | Direct product generalized |

6391 | 703 | Direct product generalized |

6407 | 704 | Direct product generalized |

6415 | 706 | Direct product generalized |

6481 | 707 | PCAxPCA |

6498 | 708 | PCAxPCA |

6642 | 709 | Direct product |

6693 | 710 | Direct product generalized |

6705 | 711 | Direct product generalized |

6796 | 712 | Direct product generalized |

6798 | 713 | Direct product generalized |

6804 | 716 | PCAxPCA |

6840 | 719 | Direct product |

6855 | 720 | Direct product generalized |

7011 | 721 | PCAxPCA |

7172 | 723 | Direct product generalized |

7220 | 724 | Direct product generalized |

7285 | 725 | Direct product generalized |

7331 | 727 | Direct product generalized |

7333 | 731 | Direct product generalized |

7359 | 732 | Direct product generalized |

7393 | 734 | Direct product generalized |

7416 | 735 | Direct product generalized |

7542 | 736 | Direct product |

7656 | 737 | Direct product generalized |

7692 | 738 | Direct product generalized |

7769 | 740 | Direct product generalized |

7811 | 746 | Direct product generalized |

7829 | 747 | Direct product generalized |

7961 | 748 | PCAxPCA |

7991 | 749 | Direct product generalized |

8219 | 750 | Direct product generalized |

8255 | 751 | Direct product generalized |

8277 | 752 | Direct product generalized |

8387 | 753 | Direct product generalized |

8393 | 756 | Direct product generalized |

8395 | 760 | Direct product generalized |

8422 | 761 | Direct product generalized |

8640 | 762 | Direct product generalized |

8665 | 764 | Direct product generalized |

8675 | 765 | Direct product generalized |

8777 | 766 | Direct product generalized |

8793 | 768 | Direct product generalized |

8799 | 770 | Direct product generalized |

9010 | 772 | Direct product |

9180 | 773 | PCAxPCA |

9504 | 774 | Direct product generalized |

9554 | 776 | PCAxPCA |

9690 | 777 | PCAxPCA |

9792 | 783 | Direct product generalized |

10098 | 785 | PCAxPCA |

10131 | 788 | Direct product generalized |

10659 | 789 | PCAxPCA |

10982 | 798 | PCAxPCA |

11012 | 801 | Direct product generalized |

11286 | 802 | PCAxPCA |

11362 | 803 | Direct product generalized |

11408 | 805 | Direct product generalized |

11412 | 806 | Direct product generalized |

11413 | 807 | Direct product generalized |

11805 | 809 | Direct product generalized |

13634 | 810 | Direct product |

13668 | 811 | Direct product generalized |

14400 | 812 | Direct product generalized |

17340 | 821 | Direct product |

20000 | 823 | Direct product |