Information on Result #831283
Linear OOA(4211, 164, F4, 2, 82) (dual of [(164, 2), 117, 83]-NRT-code), using OOA 2-folding based on linear OA(4211, 328, F4, 82) (dual of [328, 117, 83]-code), using
- strength reduction [i] based on linear OA(4211, 328, F4, 83) (dual of [328, 117, 84]-code), using
- concatenation of two codes [i] based on
- linear OA(6443, 82, F64, 41) (dual of [82, 39, 42]-code), using
- construction X applied to AG(F,37P) ⊂ AG(F,39P) [i] based on
- linear OA(6442, 79, F64, 41) (dual of [79, 37, 42]-code), using algebraic-geometric code AG(F,37P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- linear OA(6440, 79, F64, 39) (dual of [79, 39, 40]-code), using algebraic-geometric code AG(F,39P) [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,37P) ⊂ AG(F,39P) [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(6443, 82, F64, 41) (dual of [82, 39, 42]-code), using
- concatenation of two codes [i] based on
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.