Information on Result #665877
Linear OA(2599, 753, F25, 37) (dual of [753, 654, 38]-code), using (u, u+v)-construction based on
- linear OA(2529, 128, F25, 18) (dual of [128, 99, 19]-code), using
- construction X applied to AG(F,106P) ⊂ AG(F,108P) [i] based on
- linear OA(2528, 125, F25, 18) (dual of [125, 97, 19]-code), using algebraic-geometric code AG(F,106P) [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(2526, 125, F25, 16) (dual of [125, 99, 17]-code), using algebraic-geometric code AG(F,108P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (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
- linear OA(2528, 125, F25, 18) (dual of [125, 97, 19]-code), using algebraic-geometric code AG(F,106P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- construction X applied to AG(F,106P) ⊂ AG(F,108P) [i] based on
- linear OA(2570, 625, F25, 37) (dual of [625, 555, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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.