Information on Result #647368
Linear OA(2588, 214, F25, 56) (dual of [214, 126, 57]-code), using construction X applied to AG(F,142P) ⊂ AG(F,150P) based on
- linear OA(2581, 199, F25, 56) (dual of [199, 118, 57]-code), using algebraic-geometric code AG(F,142P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OA(2573, 199, F25, 48) (dual of [199, 126, 49]-code), using algebraic-geometric code AG(F,150P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OA(257, 15, F25, 7) (dual of [15, 8, 8]-code or 15-arc in PG(6,25)), using
- discarding factors / shortening the dual code based on linear OA(257, 25, F25, 7) (dual of [25, 18, 8]-code or 25-arc in PG(6,25)), using
- Reed–Solomon code RS(18,25) [i]
- discarding factors / shortening the dual code based on linear OA(257, 25, F25, 7) (dual of [25, 18, 8]-code or 25-arc in PG(6,25)), 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(2588, 107, F25, 2, 56) (dual of [(107, 2), 126, 57]-NRT-code) | [i] | OOA Folding | |