Information on Result #1803753
Digital (13, 30, 129)-net over F25, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(2530, 129, F25, 17) (dual of [129, 99, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2530, 132, F25, 17) (dual of [132, 102, 18]-code), using
- construction X applied to AG(F,107P) ⊂ AG(F,111P) [i] 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
- 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
- construction X applied to AG(F,107P) ⊂ AG(F,111P) [i] based on
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.