Information on Result #645456
Linear OA(1684, 115, F16, 50) (dual of [115, 31, 51]-code), using construction X applied to AG(F,13P) ⊂ AG(F,36P) based on
- linear OA(1656, 64, F16, 50) (dual of [64, 8, 51]-code), using algebraic-geometric code AG(F,13P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OA(1633, 64, F16, 27) (dual of [64, 31, 28]-code), using algebraic-geometric code AG(F,36P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1628, 51, F16, 22) (dual of [51, 23, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(1628, 64, F16, 22) (dual of [64, 36, 23]-code), using
- algebraic-geometric code AG(F,41P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- discarding factors / shortening the dual code based on linear OA(1628, 64, F16, 22) (dual of [64, 36, 23]-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.