Information on Result #646286
Linear OA(2530, 132, F25, 17) (dual of [132, 102, 18]-code), using construction X applied to AG(F,107P) ⊂ AG(F,111P) based on
- linear OA(2527, 125, F25, 17) (dual of [125, 98, 18]-code), using algebraic-geometric code AG(F,107P) [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(253, 7, F25, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,25) or 7-cap in PG(2,25)), using
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- Reed–Solomon code RS(22,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), 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(2596, 757, F25, 35) (dual of [757, 661, 36]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2594, 757, F25, 34) (dual of [757, 663, 35]-code) | [i] | ||
| 3 | Linear OA(2596, 760, F25, 35) (dual of [760, 664, 36]-code) | [i] | ||
| 4 | Linear OA(2594, 760, F25, 34) (dual of [760, 666, 35]-code) | [i] | ||
| 5 | Linear OOA(2530, 129, F25, 2, 17) (dual of [(129, 2), 228, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (13, 30, 129)-net over F25 | [i] | ||
| 7 | Linear OOA(2530, 66, F25, 2, 17) (dual of [(66, 2), 102, 18]-NRT-code) | [i] | OOA Folding | |