Information on Result #647441
Linear OA(2589, 218, F25, 55) (dual of [218, 129, 56]-code), using construction X applied to AG(F,143P) ⊂ AG(F,153P) based on
- linear OA(2580, 199, F25, 55) (dual of [199, 119, 56]-code), using algebraic-geometric code AG(F,143P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OA(2570, 199, F25, 45) (dual of [199, 129, 46]-code), using algebraic-geometric code AG(F,153P) [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(2589, 109, F25, 2, 55) (dual of [(109, 2), 129, 56]-NRT-code) | [i] | OOA Folding | |