Information on Result #1821729
OA(8106, 580, S8, 35), using trace code based on OA(6453, 290, S64, 35), using
- discarding parts of the base [i] based on linear OA(12845, 290, F128, 35) (dual of [290, 245, 36]-code), using
- construction X applied to AG(F,251P) ⊂ AG(F,253P) [i] based on
- linear OA(12844, 287, F128, 35) (dual of [287, 243, 36]-code), using algebraic-geometric code AG(F,251P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OA(12842, 287, F128, 33) (dual of [287, 245, 34]-code), using algebraic-geometric code AG(F,253P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OA(1281, 3, F128, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,251P) ⊂ AG(F,253P) [i] based on
Mode: Constructive.
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(8107, 581, S8, 35) | [i] | Code Embedding in Larger Space | |