Information on Result #2275090
Linear OA(4211, 331, F4, 81) (dual of [331, 120, 82]-code), using 3 times code embedding in larger space based on linear OA(4208, 328, F4, 81) (dual of [328, 120, 82]-code), using
- concatenation of two codes [i] based on
- linear OA(6442, 82, F64, 40) (dual of [82, 40, 41]-code), using
- construction X applied to AG(F,38P) ⊂ AG(F,40P) [i] based on
- linear OA(6441, 79, F64, 40) (dual of [79, 38, 41]-code), using algebraic-geometric code AG(F,38P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(6439, 79, F64, 38) (dual of [79, 40, 39]-code), using algebraic-geometric code AG(F,40P) [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,38P) ⊂ AG(F,40P) [i] based on
- linear OA(41, 4, F4, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(6442, 82, F64, 40) (dual of [82, 40, 41]-code), using
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.