Information on Result #665839
Linear OA(25108, 755, F25, 40) (dual of [755, 647, 41]-code), using (u, u+v)-construction based on
- linear OA(2532, 130, F25, 20) (dual of [130, 98, 21]-code), using
- construction X applied to AG(F,104P) ⊂ AG(F,107P) [i] 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(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 (see above)
- linear OA(252, 5, F25, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- 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
- construction X applied to AG(F,104P) ⊂ AG(F,107P) [i] based on
- linear OA(2576, 625, F25, 40) (dual of [625, 549, 41]-code), using
- an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
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.