Information on Result #647536
Linear OA(2590, 224, F25, 53) (dual of [224, 134, 54]-code), using construction X applied to AG(F,145P) ⊂ AG(F,158P) based on
- linear OA(2578, 199, F25, 53) (dual of [199, 121, 54]-code), using algebraic-geometric code AG(F,145P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OA(2565, 199, F25, 40) (dual of [199, 134, 41]-code), using algebraic-geometric code AG(F,158P) [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(2590, 112, F25, 2, 53) (dual of [(112, 2), 134, 54]-NRT-code) | [i] | OOA Folding | |