Information on Result #659954
Linear OA(5148, 308, F5, 52) (dual of [308, 160, 53]-code), using trace code based on linear OA(2574, 154, F25, 52) (dual of [154, 80, 53]-code), using
- construction X applied to AG(F,94P) ⊂ AG(F,98P) [i] based on
- linear OA(2571, 147, F25, 52) (dual of [147, 76, 53]-code), using algebraic-geometric code AG(F,94P) [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
- linear OA(2567, 147, F25, 48) (dual of [147, 80, 49]-code), using algebraic-geometric code AG(F,98P) [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148 (see above)
- linear OA(253, 7, F25, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,25) or 7-cap in PG(2,25)), using
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- Reed–Solomon code RS(22,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), 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 OA(5149, 309, F5, 52) (dual of [309, 160, 53]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5148, 154, F5, 2, 52) (dual of [(154, 2), 160, 53]-NRT-code) | [i] | OOA Folding | |