Information on Result #646973
Linear OA(25101, 158, F25, 77) (dual of [158, 57, 78]-code), using construction X applied to AG(F,69P) ⊂ AG(F,75P) based on
- linear OA(2596, 147, F25, 77) (dual of [147, 51, 78]-code), using algebraic-geometric code AG(F,69P) [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
- linear OA(2590, 147, F25, 71) (dual of [147, 57, 72]-code), using algebraic-geometric code AG(F,75P) [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148 (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(25101, 79, F25, 2, 77) (dual of [(79, 2), 57, 78]-NRT-code) | [i] | OOA Folding | |