Information on Result #614577
Linear OA(779, 344, F7, 31) (dual of [344, 265, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound)
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(796, 364, F7, 31) (dual of [364, 268, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(794, 360, F7, 31) (dual of [360, 266, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(786, 351, F7, 33) (dual of [351, 265, 34]-code) | [i] | ✔ | |
| 4 | Linear OA(780, 351, F7, 31) (dual of [351, 271, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(795, 360, F7, 35) (dual of [360, 265, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(786, 363, F7, 31) (dual of [363, 277, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(7104, 369, F7, 37) (dual of [369, 265, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(790, 371, F7, 31) (dual of [371, 281, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(791, 374, F7, 31) (dual of [374, 283, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(793, 382, F7, 31) (dual of [382, 289, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(797, 392, F7, 31) (dual of [392, 295, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(7103, 363, F7, 37) (dual of [363, 260, 38]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 13 | Linear OA(7108, 376, F7, 37) (dual of [376, 268, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(7107, 374, F7, 37) (dual of [374, 267, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(7106, 372, F7, 37) (dual of [372, 266, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(794, 354, F7, 35) (dual of [354, 260, 36]-code) | [i] | ✔ | |
| 17 | Linear OA(797, 363, F7, 35) (dual of [363, 266, 36]-code) | [i] | ✔ | |
| 18 | Linear OA(788, 354, F7, 33) (dual of [354, 266, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(785, 358, F7, 31) (dual of [358, 273, 32]-code) | [i] | ✔ | |
| 20 | Linear OA(784, 356, F7, 31) (dual of [356, 272, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(789, 368, F7, 31) (dual of [368, 279, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(788, 366, F7, 31) (dual of [366, 278, 32]-code) | [i] | ✔ | |