Information on Result #615589
Linear OA(937, 729, F9, 14) (dual of [729, 692, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(944, 739, F9, 14) (dual of [739, 695, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(945, 747, F9, 14) (dual of [747, 702, 15]-code) | [i] | ||
| 3 | Linear OA(946, 749, F9, 14) (dual of [749, 703, 15]-code) | [i] | ||
| 4 | Linear OA(947, 757, F9, 14) (dual of [757, 710, 15]-code) | [i] | ||
| 5 | Linear OA(946, 739, F9, 14) (dual of [739, 693, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(947, 741, F9, 14) (dual of [741, 694, 15]-code) | [i] | ||
| 7 | Linear OA(940, 732, F9, 15) (dual of [732, 692, 16]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(937, 732, F9, 14) (dual of [732, 695, 15]-code) | [i] | ✔ | |
| 9 | Linear OA(944, 736, F9, 16) (dual of [736, 692, 17]-code) | [i] | ✔ | |
| 10 | Linear OA(938, 736, F9, 14) (dual of [736, 698, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(948, 739, F9, 17) (dual of [739, 691, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(949, 741, F9, 17) (dual of [741, 692, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(939, 739, F9, 14) (dual of [739, 700, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(940, 741, F9, 14) (dual of [741, 701, 15]-code) | [i] | ✔ | |
| 15 | Linear OA(954, 745, F9, 19) (dual of [745, 691, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(955, 747, F9, 19) (dual of [747, 692, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(953, 745, F9, 18) (dual of [745, 692, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(941, 745, F9, 14) (dual of [745, 704, 15]-code) | [i] | ✔ | |
| 19 | Linear OA(959, 751, F9, 20) (dual of [751, 692, 21]-code) | [i] | ✔ | |
| 20 | Linear OA(944, 751, F9, 14) (dual of [751, 707, 15]-code) | [i] | ✔ | |
| 21 | Linear OA(964, 756, F9, 21) (dual of [756, 692, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(946, 756, F9, 14) (dual of [756, 710, 15]-code) | [i] | ✔ | |
| 23 | Linear OA(969, 759, F9, 22) (dual of [759, 690, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(970, 762, F9, 22) (dual of [762, 692, 23]-code) | [i] | ✔ | |
| 25 | Linear OA(975, 767, F9, 23) (dual of [767, 692, 24]-code) | [i] | ✔ | |
| 26 | Linear OA(979, 769, F9, 24) (dual of [769, 690, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(980, 772, F9, 24) (dual of [772, 692, 25]-code) | [i] | ✔ | |
| 28 | Linear OA(984, 776, F9, 25) (dual of [776, 692, 26]-code) | [i] | ✔ | |
| 29 | Linear OA(988, 780, F9, 26) (dual of [780, 692, 27]-code) | [i] | ✔ | |
| 30 | Linear OA(974, 764, F9, 23) (dual of [764, 690, 24]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 31 | Linear OA(968, 758, F9, 22) (dual of [758, 690, 23]-code) | [i] | ✔ | |
| 32 | Linear OA(971, 764, F9, 22) (dual of [764, 693, 23]-code) | [i] | ✔ | |
| 33 | Linear OA(963, 753, F9, 21) (dual of [753, 690, 22]-code) | [i] | ✔ | |
| 34 | Linear OA(960, 753, F9, 20) (dual of [753, 693, 21]-code) | [i] | ✔ | |
| 35 | Linear OA(954, 747, F9, 18) (dual of [747, 693, 19]-code) | [i] | ✔ | |
| 36 | Linear OA(943, 748, F9, 14) (dual of [748, 705, 15]-code) | [i] | ✔ | |
| 37 | Linear OA(945, 753, F9, 14) (dual of [753, 708, 15]-code) | [i] | ✔ | |
| 38 | Linear OA(947, 758, F9, 14) (dual of [758, 711, 15]-code) | [i] | ✔ | |