Information on Result #1294935
Linear OA(6483, 427, F64, 56) (dual of [427, 344, 57]-code), using construction X applied to AG(F,367P) ⊂ AG(F,369P) based on
- linear OA(6482, 424, F64, 56) (dual of [424, 342, 57]-code), using algebraic-geometric code AG(F,367P) [i] based on function field F/F64 with g(F) = 26 and N(F) ≥ 425, using
- linear OA(6480, 424, F64, 54) (dual of [424, 344, 55]-code), using algebraic-geometric code AG(F,369P) [i] based on function field F/F64 with g(F) = 26 and N(F) ≥ 425 (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(32100, 427, S32, 56) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6483, 213, F64, 2, 56) (dual of [(213, 2), 343, 57]-NRT-code) | [i] | OOA Folding | |