Information on Result #1294579
Linear OA(6470, 263, F64, 55) (dual of [263, 193, 56]-code), using construction X applied to AG(F,200P) ⊂ AG(F,204P) based on
- linear OA(6467, 256, F64, 55) (dual of [256, 189, 56]-code), using algebraic-geometric code AG(F,200P) [i] based on function field F/F64 with g(F) = 12 and N(F) ≥ 257, using
- linear OA(6463, 256, F64, 51) (dual of [256, 193, 52]-code), using algebraic-geometric code AG(F,204P) [i] based on function field F/F64 with g(F) = 12 and N(F) ≥ 257 (see above)
- linear OA(643, 7, F64, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,64) or 7-cap in PG(2,64)), using
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), using
- Reed–Solomon code RS(61,64) [i]
- discarding factors / shortening the dual code based on linear OA(643, 64, F64, 3) (dual of [64, 61, 4]-code or 64-arc in PG(2,64) or 64-cap in PG(2,64)), 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(3284, 263, S32, 55) | [i] | Discarding Parts of the Base for OAs | |