Information on Result #647295
Linear OA(2571, 210, F25, 41) (dual of [210, 139, 42]-code), using construction X applied to AG(F,157P) ⊂ AG(F,163P) based on
- 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, using
- linear OA(2560, 199, F25, 35) (dual of [199, 139, 36]-code), using algebraic-geometric code AG(F,163P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OA(255, 11, F25, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,25)), using
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- Reed–Solomon code RS(20,25) [i]
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), 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(2571, 105, F25, 2, 41) (dual of [(105, 2), 139, 42]-NRT-code) | [i] | OOA Folding | |