Information on Result #1818328
OA(2792, 378, S27, 49), using discarding parts of the base based on linear OA(8169, 378, F81, 49) (dual of [378, 309, 50]-code), using
- construction X applied to AG(F,319P) ⊂ AG(F,324P) [i] based on
- 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, using
- linear OA(8160, 369, F81, 44) (dual of [369, 309, 45]-code), using algebraic-geometric code AG(F,324P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(814, 9, F81, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,81)), using
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using
- Reed–Solomon code RS(77,81) [i]
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), 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(2793, 379, S27, 49) | [i] | Code Embedding in Larger Space | |
| 2 | OOA(2792, 189, S27, 2, 49) | [i] | OOA Folding | |