Information on Result #1817786
OA(2724, 118, S27, 15), using discarding parts of the base based on linear OA(8118, 118, F81, 15) (dual of [118, 100, 16]-code), using
- construction X applied to AG(F,99P) ⊂ AG(F,101P) [i] based on
- linear OA(8117, 115, F81, 15) (dual of [115, 98, 16]-code), using algebraic-geometric code AG(F,99P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OA(8115, 115, F81, 13) (dual of [115, 100, 14]-code), using algebraic-geometric code AG(F,101P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116 (see above)
- linear OA(811, 3, F81, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(2725, 119, S27, 15) | [i] | Code Embedding in Larger Space | |
| 2 | OA(27109, 19804, S27, 30) | [i] | (u, u+v)-Construction | |
| 3 | OA(27110, 19808, S27, 30) | [i] | ||