Information on Result #645466
Linear OA(1689, 117, F16, 54) (dual of [117, 28, 55]-code), using construction X applied to AG(F,9P) ⊂ AG(F,33P) based on
- linear OA(1660, 64, F16, 54) (dual of [64, 4, 55]-code), using algebraic-geometric code AG(F,9P) [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(1636, 64, F16, 30) (dual of [64, 28, 31]-code), using algebraic-geometric code AG(F,33P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1629, 53, F16, 23) (dual of [53, 24, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(1629, 64, F16, 23) (dual of [64, 35, 24]-code), using
- algebraic-geometric code AG(F,40P) [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(1629, 64, F16, 23) (dual of [64, 35, 24]-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.