Information on Result #669945
Linear OA(6452, 262227, F64, 15) (dual of [262227, 262175, 16]-code), using (u, u+v)-construction based on
- linear OA(649, 82, F64, 7) (dual of [82, 73, 8]-code), using
- construction X applied to AG(F,71P) ⊂ AG(F,73P) [i] based on
- linear OA(648, 79, F64, 7) (dual of [79, 71, 8]-code), using algebraic-geometric code AG(F,71P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(646, 79, F64, 5) (dual of [79, 73, 6]-code), using algebraic-geometric code AG(F,73P) [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,71P) ⊂ AG(F,73P) [i] based on
- linear OA(6443, 262145, F64, 15) (dual of [262145, 262102, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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.