Information on Result #669911
Linear OA(6443, 4179, F64, 17) (dual of [4179, 4136, 18]-code), using (u, u+v)-construction based on
- linear OA(6410, 82, F64, 8) (dual of [82, 72, 9]-code), using
- construction X applied to AG(F,70P) ⊂ AG(F,72P) [i] based on
- linear OA(649, 79, F64, 8) (dual of [79, 70, 9]-code), using algebraic-geometric code AG(F,70P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(647, 79, F64, 6) (dual of [79, 72, 7]-code), using algebraic-geometric code AG(F,72P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80 (see above)
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,70P) ⊂ AG(F,72P) [i] based on
- linear OA(6433, 4097, F64, 17) (dual of [4097, 4064, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [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.