Information on Result #649224
Linear OA(2780, 112, F27, 61) (dual of [112, 32, 62]-code), using construction X applied to AG(F,31P) ⊂ AG(F,41P) based on
- linear OA(2771, 93, F27, 61) (dual of [93, 22, 62]-code), using algebraic-geometric code AG(F,31P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2761, 93, F27, 51) (dual of [93, 32, 52]-code), using algebraic-geometric code AG(F,41P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(279, 19, F27, 9) (dual of [19, 10, 10]-code or 19-arc in PG(8,27)), using
- discarding factors / shortening the dual code based on linear OA(279, 27, F27, 9) (dual of [27, 18, 10]-code or 27-arc in PG(8,27)), using
- Reed–Solomon code RS(18,27) [i]
- discarding factors / shortening the dual code based on linear OA(279, 27, F27, 9) (dual of [27, 18, 10]-code or 27-arc in PG(8,27)), using
Mode: Constructive and 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 | Linear OOA(2780, 56, F27, 2, 61) (dual of [(56, 2), 32, 62]-NRT-code) | [i] | OOA Folding | |