Information on Result #864439
Linear OOA(2588, 68, F25, 2, 73) (dual of [(68, 2), 48, 74]-NRT-code), using OOA 2-folding based on linear OA(2588, 136, F25, 73) (dual of [136, 48, 74]-code), using
- construction X applied to AG(F,51P) ⊂ AG(F,57P) [i] based on
- linear OA(2583, 125, F25, 73) (dual of [125, 42, 74]-code), using algebraic-geometric code AG(F,51P) [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(2577, 125, F25, 67) (dual of [125, 48, 68]-code), using algebraic-geometric code AG(F,57P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (see above)
- linear OA(255, 11, F25, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,25)), using
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- Reed–Solomon code RS(20,25) [i]
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- linear OA(2583, 125, F25, 73) (dual of [125, 42, 74]-code), using algebraic-geometric code AG(F,51P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, 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
None.