Information on Result #615799
Linear OA(973, 729, F9, 28) (dual of [729, 656, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(987, 744, F9, 28) (dual of [744, 657, 29]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(988, 746, F9, 28) (dual of [746, 658, 29]-code) | [i] | ||
| 3 | Linear OA(989, 749, F9, 28) (dual of [749, 660, 29]-code) | [i] | ||
| 4 | Linear OA(990, 757, F9, 28) (dual of [757, 667, 29]-code) | [i] | ||
| 5 | Linear OA(991, 759, F9, 28) (dual of [759, 668, 29]-code) | [i] | ||
| 6 | Linear OA(992, 761, F9, 28) (dual of [761, 669, 29]-code) | [i] | ||
| 7 | Linear OA(993, 763, F9, 28) (dual of [763, 670, 29]-code) | [i] | ||
| 8 | Linear OA(992, 749, F9, 28) (dual of [749, 657, 29]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(976, 742, F9, 28) (dual of [742, 666, 29]-code) | [i] | Varšamov–Edel Lengthening | |
| 10 | Linear OA(977, 762, F9, 28) (dual of [762, 685, 29]-code) | [i] | ||
| 11 | Linear OA(978, 803, F9, 28) (dual of [803, 725, 29]-code) | [i] | ||
| 12 | Linear OA(979, 862, F9, 28) (dual of [862, 783, 29]-code) | [i] | ||
| 13 | Linear OA(980, 932, F9, 28) (dual of [932, 852, 29]-code) | [i] | ||
| 14 | Linear OA(976, 732, F9, 29) (dual of [732, 656, 30]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(974, 733, F9, 28) (dual of [733, 659, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(980, 736, F9, 30) (dual of [736, 656, 31]-code) | [i] | ✔ | |
| 17 | Linear OA(975, 737, F9, 28) (dual of [737, 662, 29]-code) | [i] | ✔ | |
| 18 | Linear OA(984, 739, F9, 31) (dual of [739, 655, 32]-code) | [i] | ✔ | |
| 19 | Linear OA(985, 741, F9, 31) (dual of [741, 656, 32]-code) | [i] | ✔ | |
| 20 | Linear OA(976, 739, F9, 28) (dual of [739, 663, 29]-code) | [i] | ✔ | |
| 21 | Linear OA(977, 742, F9, 28) (dual of [742, 665, 29]-code) | [i] | ✔ | |
| 22 | Linear OA(975, 739, F9, 27) (dual of [739, 664, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(989, 745, F9, 32) (dual of [745, 656, 33]-code) | [i] | ✔ | |
| 24 | Linear OA(978, 745, F9, 28) (dual of [745, 667, 29]-code) | [i] | ✔ | |
| 25 | Linear OA(979, 747, F9, 28) (dual of [747, 668, 29]-code) | [i] | ✔ | |
| 26 | Linear OA(994, 750, F9, 33) (dual of [750, 656, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(980, 751, F9, 28) (dual of [751, 671, 29]-code) | [i] | ✔ | |
| 28 | Linear OA(998, 754, F9, 34) (dual of [754, 656, 35]-code) | [i] | ✔ | |
| 29 | Linear OA(982, 756, F9, 28) (dual of [756, 674, 29]-code) | [i] | ✔ | |
| 30 | Linear OA(9103, 757, F9, 35) (dual of [757, 654, 36]-code) | [i] | ✔ | |
| 31 | Linear OA(9104, 760, F9, 35) (dual of [760, 656, 36]-code) | [i] | ✔ | |
| 32 | Linear OA(984, 759, F9, 28) (dual of [759, 675, 29]-code) | [i] | ✔ | |
| 33 | Linear OA(985, 762, F9, 28) (dual of [762, 677, 29]-code) | [i] | ✔ | |
| 34 | Linear OA(9111, 767, F9, 37) (dual of [767, 656, 38]-code) | [i] | ✔ | |
| 35 | Linear OA(9109, 765, F9, 36) (dual of [765, 656, 37]-code) | [i] | ✔ | |
| 36 | Linear OA(987, 767, F9, 28) (dual of [767, 680, 29]-code) | [i] | ✔ | |
| 37 | Linear OA(9115, 769, F9, 38) (dual of [769, 654, 39]-code) | [i] | ✔ | |
| 38 | Linear OA(9116, 772, F9, 38) (dual of [772, 656, 39]-code) | [i] | ✔ | |
| 39 | Linear OA(989, 770, F9, 28) (dual of [770, 681, 29]-code) | [i] | ✔ | |
| 40 | Linear OA(990, 773, F9, 28) (dual of [773, 683, 29]-code) | [i] | ✔ | |
| 41 | Linear OA(9120, 776, F9, 39) (dual of [776, 656, 40]-code) | [i] | ✔ | |
| 42 | Linear OA(991, 777, F9, 28) (dual of [777, 686, 29]-code) | [i] | ✔ | |
| 43 | Linear OA(9124, 780, F9, 40) (dual of [780, 656, 41]-code) | [i] | ✔ | |
| 44 | Linear OA(993, 782, F9, 28) (dual of [782, 689, 29]-code) | [i] | ✔ | |
| 45 | Linear OA(991, 780, F9, 27) (dual of [780, 689, 28]-code) | [i] | ✔ | |
| 46 | Linear OA(9129, 785, F9, 41) (dual of [785, 656, 42]-code) | [i] | ✔ | |
| 47 | Linear OA(9134, 790, F9, 42) (dual of [790, 656, 43]-code) | [i] | ✔ | |
| 48 | Linear OA(9139, 795, F9, 43) (dual of [795, 656, 44]-code) | [i] | ✔ | |
| 49 | Linear OA(9144, 800, F9, 44) (dual of [800, 656, 45]-code) | [i] | ✔ | |
| 50 | Linear OA(9150, 806, F9, 46) (dual of [806, 656, 47]-code) | [i] | ✔ | |
| 51 | Linear OA(9110, 764, F9, 37) (dual of [764, 654, 38]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 52 | Linear OA(9108, 762, F9, 36) (dual of [762, 654, 37]-code) | [i] | ✔ | |
| 53 | Linear OA(9103, 758, F9, 35) (dual of [758, 655, 36]-code) | [i] | ✔ | |
| 54 | Linear OA(9102, 756, F9, 35) (dual of [756, 654, 36]-code) | [i] | ✔ | |
| 55 | Linear OA(9107, 765, F9, 35) (dual of [765, 658, 36]-code) | [i] | ✔ | |
| 56 | Linear OA(9106, 763, F9, 35) (dual of [763, 657, 36]-code) | [i] | ✔ | |
| 57 | Linear OA(9102, 761, F9, 34) (dual of [761, 659, 35]-code) | [i] | ✔ | |
| 58 | Linear OA(9101, 759, F9, 34) (dual of [759, 658, 35]-code) | [i] | ✔ | |
| 59 | Linear OA(9100, 757, F9, 34) (dual of [757, 657, 35]-code) | [i] | ✔ | |
| 60 | Linear OA(9104, 764, F9, 34) (dual of [764, 660, 35]-code) | [i] | ✔ | |
| 61 | Linear OA(993, 747, F9, 33) (dual of [747, 654, 34]-code) | [i] | ✔ | |
| 62 | Linear OA(996, 753, F9, 33) (dual of [753, 657, 34]-code) | [i] | ✔ | |
| 63 | Linear OA(991, 748, F9, 32) (dual of [748, 657, 33]-code) | [i] | ✔ | |
| 64 | Linear OA(981, 753, F9, 28) (dual of [753, 672, 29]-code) | [i] | ✔ | |
| 65 | Linear OA(983, 758, F9, 28) (dual of [758, 675, 29]-code) | [i] | ✔ | |
| 66 | Linear OA(986, 764, F9, 28) (dual of [764, 678, 29]-code) | [i] | ✔ | |
| 67 | Linear OOA(973, 243, F9, 3, 28) (dual of [(243, 3), 656, 29]-NRT-code) | [i] | OOA Folding | |