Information on Result #647528
Linear OA(2598, 224, F25, 61) (dual of [224, 126, 62]-code), using construction X applied to AG(F,137P) ⊂ AG(F,150P) based on
- linear OA(2586, 199, F25, 61) (dual of [199, 113, 62]-code), using algebraic-geometric code AG(F,137P) [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(2512, 25, F25, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,25)), using
- Reed–Solomon code RS(13,25) [i]
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(2598, 112, F25, 2, 61) (dual of [(112, 2), 126, 62]-NRT-code) | [i] | OOA Folding | |