Information on Result #657150
Linear OA(2516, 29, F25, 15) (dual of [29, 13, 16]-code), using construction X applied to AG(F,5P) ⊂ AG(F,6P) 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(2513, 26, F25, 13) (dual of [26, 13, 14]-code or 26-arc in PG(12,25)), using algebraic-geometric code AG(F,6P) with 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(2574, 654, F25, 31) (dual of [654, 580, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25104, 15654, F25, 31) (dual of [15654, 15550, 32]-code) | [i] | ||
| 3 | Linear OA(2572, 654, F25, 30) (dual of [654, 582, 31]-code) | [i] | ||
| 4 | Linear OA(25101, 15654, F25, 30) (dual of [15654, 15553, 31]-code) | [i] | ||
| 5 | Linear OA(2584, 680, F25, 31) (dual of [680, 596, 32]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(2582, 680, F25, 30) (dual of [680, 598, 31]-code) | [i] | ||
| 7 | Linear OA(2583, 683, F25, 30) (dual of [683, 600, 31]-code) | [i] | ||