Information on Result #1296460
Linear OA(25625, 331, F256, 18) (dual of [331, 306, 19]-code), using construction X applied to AG(F,301P) ⊂ AG(F,307P) based on
- linear OA(25620, 320, F256, 18) (dual of [320, 300, 19]-code), using algebraic-geometric code AG(F,301P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- linear OA(25614, 320, F256, 12) (dual of [320, 306, 13]-code), using algebraic-geometric code AG(F,307P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321 (see above)
- linear OA(2565, 11, F256, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,256)), using
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- Reed–Solomon code RS(251,256) [i]
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), 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 | OA(12829, 331, S128, 18) | [i] | Discarding Parts of the Base for OAs | |