Information on Result #615575
Linear OA(934, 729, F9, 13) (dual of [729, 695, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(940, 739, F9, 13) (dual of [739, 699, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(941, 746, F9, 13) (dual of [746, 705, 14]-code) | [i] | ||
| 3 | Linear OA(942, 749, F9, 13) (dual of [749, 707, 14]-code) | [i] | ||
| 4 | Linear OA(943, 757, F9, 13) (dual of [757, 714, 14]-code) | [i] | ||
| 5 | Linear OA(943, 739, F9, 13) (dual of [739, 696, 14]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(937, 732, F9, 14) (dual of [732, 695, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(934, 732, F9, 13) (dual of [732, 698, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(941, 736, F9, 15) (dual of [736, 695, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(935, 736, F9, 13) (dual of [736, 701, 14]-code) | [i] | ✔ | |
| 10 | Linear OA(945, 739, F9, 16) (dual of [739, 694, 17]-code) | [i] | ✔ | |
| 11 | Linear OA(946, 741, F9, 16) (dual of [741, 695, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(936, 739, F9, 13) (dual of [739, 703, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(937, 741, F9, 13) (dual of [741, 704, 14]-code) | [i] | ✔ | |
| 14 | Linear OA(950, 745, F9, 17) (dual of [745, 695, 18]-code) | [i] | ✔ | |
| 15 | Linear OA(939, 745, F9, 13) (dual of [745, 706, 14]-code) | [i] | ✔ | |
| 16 | Linear OA(940, 747, F9, 13) (dual of [747, 707, 14]-code) | [i] | ✔ | |
| 17 | Linear OA(956, 751, F9, 19) (dual of [751, 695, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(941, 751, F9, 13) (dual of [751, 710, 14]-code) | [i] | ✔ | |
| 19 | Linear OA(961, 756, F9, 20) (dual of [756, 695, 21]-code) | [i] | ✔ | |
| 20 | Linear OA(967, 762, F9, 21) (dual of [762, 695, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(972, 767, F9, 22) (dual of [767, 695, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(971, 764, F9, 22) (dual of [764, 693, 23]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 23 | Linear OA(968, 764, F9, 21) (dual of [764, 696, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(960, 753, F9, 20) (dual of [753, 693, 21]-code) | [i] | ✔ | |
| 25 | Linear OA(962, 758, F9, 20) (dual of [758, 696, 21]-code) | [i] | ✔ | |
| 26 | Linear OA(954, 747, F9, 18) (dual of [747, 693, 19]-code) | [i] | ✔ | |
| 27 | Linear OA(957, 753, F9, 19) (dual of [753, 696, 20]-code) | [i] | ✔ | |
| 28 | Linear OA(951, 747, F9, 17) (dual of [747, 696, 18]-code) | [i] | ✔ | |
| 29 | Linear OA(942, 753, F9, 13) (dual of [753, 711, 14]-code) | [i] | ✔ | |