Information on Result #669685
Linear OA(6480, 4203, F64, 31) (dual of [4203, 4123, 32]-code), using (u, u+v)-construction based on
- linear OA(6419, 106, F64, 15) (dual of [106, 87, 16]-code), using
- construction X applied to AG(F,87P) ⊂ AG(F,89P) [i] based on
- linear OA(6418, 103, F64, 15) (dual of [103, 85, 16]-code), using algebraic-geometric code AG(F,87P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- linear OA(6416, 103, F64, 13) (dual of [103, 87, 14]-code), using algebraic-geometric code AG(F,89P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104 (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,87P) ⊂ AG(F,89P) [i] based on
- linear OA(6461, 4097, F64, 31) (dual of [4097, 4036, 32]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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.