Information on Result #634415
Linear OA(4148, 168, F4, 81) (dual of [168, 20, 82]-code), using concatenation of two codes based on
- linear OA(1646, 56, F16, 40) (dual of [56, 10, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(1646, 64, F16, 40) (dual of [64, 18, 41]-code), using
- algebraic-geometric code AG(F,23P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- algebraic-geometric code AG(F,23P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- discarding factors / shortening the dual code based on linear OA(1646, 64, F16, 40) (dual of [64, 18, 41]-code), using
- linear OA(41, 3, F4, 1) (dual of [3, 2, 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
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.