Information on Result #1296284
Linear OA(25645, 325, F256, 41) (dual of [325, 280, 42]-code), using construction X applied to AG(F,278P) ⊂ AG(F,281P) based on
- linear OA(25643, 320, F256, 41) (dual of [320, 277, 42]-code), using algebraic-geometric code AG(F,278P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- linear OA(25640, 320, F256, 38) (dual of [320, 280, 39]-code), using algebraic-geometric code AG(F,281P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321 (see above)
- linear OA(2562, 5, F256, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,256)), using
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
- Reed–Solomon code RS(254,256) [i]
- discarding factors / shortening the dual code based on linear OA(2562, 256, F256, 2) (dual of [256, 254, 3]-code or 256-arc in PG(1,256)), using
Mode: 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(1690, 650, F16, 41) (dual of [650, 560, 42]-code) | [i] | Trace Code | |
| 2 | OA(3272, 325, S32, 41) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(6460, 325, S64, 41) | [i] | ||
| 4 | OA(12852, 325, S128, 41) | [i] | ||