Information on Result #1294758
Linear OA(6472, 344, F64, 51) (dual of [344, 272, 52]-code), using construction X applied to AG(F,289P) ⊂ AG(F,291P) based on
- linear OA(6471, 341, F64, 51) (dual of [341, 270, 52]-code), using algebraic-geometric code AG(F,289P) [i] based on function field F/F64 with g(F) = 20 and N(F) ≥ 342, using
- linear OA(6469, 341, F64, 49) (dual of [341, 272, 50]-code), using algebraic-geometric code AG(F,291P) [i] based on function field F/F64 with g(F) = 20 and N(F) ≥ 342 (see above)
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(3287, 344, S32, 51) | [i] | Discarding Parts of the Base for OAs | |