Information on Result #669823
Linear OA(6482, 262251, F64, 23) (dual of [262251, 262169, 24]-code), using (u, u+v)-construction based on
- linear OA(6415, 106, F64, 11) (dual of [106, 91, 12]-code), using
- construction X applied to AG(F,91P) ⊂ AG(F,93P) [i] based on
- linear OA(6414, 103, F64, 11) (dual of [103, 89, 12]-code), using algebraic-geometric code AG(F,91P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 104, using
- linear OA(6412, 103, F64, 9) (dual of [103, 91, 10]-code), using algebraic-geometric code AG(F,93P) [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,91P) ⊂ AG(F,93P) [i] based on
- linear OA(6467, 262145, F64, 23) (dual of [262145, 262078, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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.