Information on Result #658738
Linear OA(1693, 124, F16, 55) (dual of [124, 31, 56]-code), using construction X applied to AG(F,8P) ⊂ AG(F,36P) based on
- linear OA(1660, 64, F16, 55) (dual of [64, 4, 56]-code), using algebraic-geometric code AG(F,8P) with known gap numbers [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(1633, 60, F16, 27) (dual of [60, 27, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(1633, 64, F16, 27) (dual of [64, 31, 28]-code) (see above)
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.