Information on Result #648737
Linear OA(2789, 98, F27, 77) (dual of [98, 9, 78]-code), using construction X applied to AG(F,15P) ⊂ AG(F,18P) based on
- linear OA(2787, 93, F27, 77) (dual of [93, 6, 78]-code), using algebraic-geometric code AG(F,15P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2784, 93, F27, 74) (dual of [93, 9, 75]-code), using algebraic-geometric code AG(F,18P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(272, 5, F27, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), 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(2789, 49, F27, 2, 77) (dual of [(49, 2), 9, 78]-NRT-code) | [i] | OOA Folding | |