Information on Result #665962
Linear OA(2578, 693, F25, 31) (dual of [693, 615, 32]-code), using (u, u+v)-construction based on
- linear OA(2520, 68, F25, 15) (dual of [68, 48, 16]-code), using
- construction X applied to AG(F,49P) ⊂ AG(F,51P) [i] based on
- linear OA(2519, 65, F25, 15) (dual of [65, 46, 16]-code), using algebraic-geometric code AG(F,49P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2517, 65, F25, 13) (dual of [65, 48, 14]-code), using algebraic-geometric code AG(F,51P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66 (see above)
- linear OA(251, 3, F25, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,49P) ⊂ AG(F,51P) [i] based on
- linear OA(2558, 625, F25, 31) (dual of [625, 567, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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.