Information on Result #657186
Linear OA(2521, 31, F25, 19) (dual of [31, 10, 20]-code), using construction X applied to AG(F,2P) ⊂ AG(F,3P) based on
- linear OA(2519, 26, F25, 19) (dual of [26, 7, 20]-code or 26-arc in PG(18,25)), using algebraic-geometric code AG(F,3P) with degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(x) [i]
- linear OA(2516, 26, F25, 16) (dual of [26, 10, 17]-code or 26-arc in PG(15,25)), using algebraic-geometric code AG(F, Q+3P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (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(2595, 656, F25, 39) (dual of [656, 561, 40]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2593, 656, F25, 38) (dual of [656, 563, 39]-code) | [i] | ||