Information on Result #645852
Linear OA(2519, 70, F25, 13) (dual of [70, 51, 14]-code), using construction X applied to AG(F,51P) ⊂ AG(F,54P) based on
- linear OA(2517, 65, F25, 13) (dual of [65, 48, 14]-code), using algebraic-geometric code AG(F,51P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2514, 65, F25, 10) (dual of [65, 51, 11]-code), using algebraic-geometric code AG(F,54P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66 (see above)
- linear OA(252, 5, F25, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), 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(2569, 695, F25, 27) (dual of [695, 626, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2595, 15695, F25, 27) (dual of [15695, 15600, 28]-code) | [i] | ||
| 3 | Linear OA(2568, 695, F25, 26) (dual of [695, 627, 27]-code) | [i] | ||
| 4 | Linear OA(2592, 15695, F25, 26) (dual of [15695, 15603, 27]-code) | [i] | ||
| 5 | Linear OA(2569, 696, F25, 27) (dual of [696, 627, 28]-code) | [i] | ||
| 6 | Linear OA(2595, 15698, F25, 27) (dual of [15698, 15603, 28]-code) | [i] | ||
| 7 | Linear OA(2593, 15699, F25, 26) (dual of [15699, 15606, 27]-code) | [i] | ||
| 8 | Linear OOA(2519, 35, F25, 2, 13) (dual of [(35, 2), 51, 14]-NRT-code) | [i] | OOA Folding | |