Information on Result #665821
Linear OA(25105, 697, F25, 41) (dual of [697, 592, 42]-code), using (u, u+v)-construction based on
- linear OA(2527, 72, F25, 20) (dual of [72, 45, 21]-code), using
- construction X applied to AG(F,44P) ⊂ AG(F,48P) [i] based on
- linear OA(2524, 65, F25, 20) (dual of [65, 41, 21]-code), using algebraic-geometric code AG(F,44P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2520, 65, F25, 16) (dual of [65, 45, 17]-code), using algebraic-geometric code AG(F,48P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66 (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
- construction X applied to AG(F,44P) ⊂ AG(F,48P) [i] based on
- linear OA(2578, 625, F25, 41) (dual of [625, 547, 42]-code), using
- an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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.