Information on Result #647445
Linear OA(2585, 218, F25, 51) (dual of [218, 133, 52]-code), using construction X applied to AG(F,147P) ⊂ AG(F,157P) based on
- linear OA(2576, 199, F25, 51) (dual of [199, 123, 52]-code), using algebraic-geometric code AG(F,147P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OA(2566, 199, F25, 41) (dual of [199, 133, 42]-code), using algebraic-geometric code AG(F,157P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OA(259, 19, F25, 9) (dual of [19, 10, 10]-code or 19-arc in PG(8,25)), using
- discarding factors / shortening the dual code based on linear OA(259, 25, F25, 9) (dual of [25, 16, 10]-code or 25-arc in PG(8,25)), using
- Reed–Solomon code RS(16,25) [i]
- discarding factors / shortening the dual code based on linear OA(259, 25, F25, 9) (dual of [25, 16, 10]-code or 25-arc in PG(8,25)), 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(2585, 109, F25, 2, 51) (dual of [(109, 2), 133, 52]-NRT-code) | [i] | OOA Folding | |