Information on Result #657165
Linear OA(2521, 29, F25, 20) (dual of [29, 8, 21]-code), using construction X applied to AG(F, Q+1P) ⊂ AG(F, Q+2P) based on
- linear OA(2520, 26, F25, 20) (dual of [26, 6, 21]-code or 26-arc in PG(19,25)), using algebraic-geometric code AG(F, Q+1P) with degQ = 3 and 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(2518, 26, F25, 18) (dual of [26, 8, 19]-code or 26-arc in PG(17,25)), using algebraic-geometric code AG(F, Q+2P) 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(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2599, 654, F25, 41) (dual of [654, 555, 42]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2597, 654, F25, 40) (dual of [654, 557, 41]-code) | [i] | ||