Information on Result #646121
Linear OA(2526, 128, F25, 15) (dual of [128, 102, 16]-code), using construction X applied to AG(F,109P) ⊂ AG(F,111P) based on
- linear OA(2525, 125, F25, 15) (dual of [125, 100, 16]-code), using algebraic-geometric code AG(F,109P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- linear OA(2523, 125, F25, 13) (dual of [125, 102, 14]-code), using algebraic-geometric code AG(F,111P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (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(2584, 753, F25, 31) (dual of [753, 669, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2582, 753, F25, 30) (dual of [753, 671, 31]-code) | [i] | ||
| 3 | Linear OA(2584, 756, F25, 31) (dual of [756, 672, 32]-code) | [i] | ||
| 4 | Linear OA(2582, 756, F25, 30) (dual of [756, 674, 31]-code) | [i] | ||
| 5 | Linear OOA(2526, 64, F25, 2, 15) (dual of [(64, 2), 102, 16]-NRT-code) | [i] | OOA Folding | |