Information on Result #647217
Linear OA(25106, 208, F25, 77) (dual of [208, 102, 78]-code), using construction X applied to AG(F,121P) ⊂ AG(F,126P) based on
- linear OA(25102, 199, F25, 77) (dual of [199, 97, 78]-code), using algebraic-geometric code AG(F,121P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OA(2597, 199, F25, 72) (dual of [199, 102, 73]-code), using algebraic-geometric code AG(F,126P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OA(254, 9, F25, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- Reed–Solomon code RS(21,25) [i]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), 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(25106, 104, F25, 2, 77) (dual of [(104, 2), 102, 78]-NRT-code) | [i] | OOA Folding | |