Information on Result #1818381
OA(2796, 376, S27, 53), using discarding parts of the base based on linear OA(8172, 376, F81, 53) (dual of [376, 304, 54]-code), using
- construction X applied to AG(F,315P) ⊂ AG(F,319P) [i] based on
- linear OA(8169, 369, F81, 53) (dual of [369, 300, 54]-code), using algebraic-geometric code AG(F,315P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8165, 369, F81, 49) (dual of [369, 304, 50]-code), using algebraic-geometric code AG(F,319P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(813, 7, F81, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,81) or 7-cap in PG(2,81)), using
- discarding factors / shortening the dual code based on linear OA(813, 81, F81, 3) (dual of [81, 78, 4]-code or 81-arc in PG(2,81) or 81-cap in PG(2,81)), using
- Reed–Solomon code RS(78,81) [i]
- discarding factors / shortening the dual code based on linear OA(813, 81, F81, 3) (dual of [81, 78, 4]-code or 81-arc in PG(2,81) or 81-cap in PG(2,81)), 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(2797, 377, S27, 53) | [i] | Code Embedding in Larger Space | |
| 2 | OA(2798, 378, S27, 53) | [i] | ||
| 3 | OOA(2796, 188, S27, 2, 53) | [i] | OOA Folding | |