Information on Result #657214
Linear OA(2517, 31, F25, 15) (dual of [31, 14, 16]-code), using construction X applied to AG(F, Q+2P) ⊂ AG(F, Q+3P) based on
- linear OA(2515, 26, F25, 15) (dual of [26, 11, 16]-code or 26-arc in PG(14,25)), using algebraic-geometric code AG(F,5P) 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(2512, 26, F25, 12) (dual of [26, 14, 13]-code or 26-arc in PG(11,25)), using algebraic-geometric code AG(F, Q+5P) 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(2575, 656, F25, 31) (dual of [656, 581, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25105, 15656, F25, 31) (dual of [15656, 15551, 32]-code) | [i] | ||
| 3 | Linear OA(2573, 656, F25, 30) (dual of [656, 583, 31]-code) | [i] | ||
| 4 | Linear OA(25102, 15656, F25, 30) (dual of [15656, 15554, 31]-code) | [i] | ||