Information on Result #1296285
Linear OA(25644, 325, F256, 40) (dual of [325, 281, 41]-code), using construction X applied to AG(F,279P) ⊂ AG(F,282P) based on
- linear OA(25642, 320, F256, 40) (dual of [320, 278, 41]-code), using algebraic-geometric code AG(F,279P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- linear OA(25639, 320, F256, 37) (dual of [320, 281, 38]-code), using algebraic-geometric code AG(F,282P) [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(1688, 650, F16, 40) (dual of [650, 562, 41]-code) | [i] | Trace Code | |
| 2 | OA(6459, 325, S64, 40) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(12851, 325, S128, 40) | [i] | ||