Information on Result #646111
Linear OA(2531, 128, F25, 20) (dual of [128, 97, 21]-code), using construction X applied to AG(F,104P) ⊂ AG(F,106P) based on
- linear OA(2530, 125, F25, 20) (dual of [125, 95, 21]-code), using algebraic-geometric code AG(F,104P) [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(2528, 125, F25, 18) (dual of [125, 97, 19]-code), using algebraic-geometric code AG(F,106P) [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(25109, 753, F25, 41) (dual of [753, 644, 42]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25107, 753, F25, 40) (dual of [753, 646, 41]-code) | [i] | ||
| 3 | Linear OA(25109, 756, F25, 41) (dual of [756, 647, 42]-code) | [i] | ||
| 4 | Linear OA(25110, 759, F25, 41) (dual of [759, 649, 42]-code) | [i] | ||
| 5 | Linear OA(25107, 756, F25, 40) (dual of [756, 649, 41]-code) | [i] | ||
| 6 | Linear OA(25108, 759, F25, 40) (dual of [759, 651, 41]-code) | [i] | ||
| 7 | Linear OA(2535, 142, F25, 20) (dual of [142, 107, 21]-code) | [i] | Varšamov–Edel Lengthening | |
| 8 | Linear OOA(2531, 64, F25, 2, 20) (dual of [(64, 2), 97, 21]-NRT-code) | [i] | OOA Folding | |