Information on Result #658737
Linear OA(1696, 126, F16, 58) (dual of [126, 30, 59]-code), using construction X applied to AG(F,5P) ⊂ AG(F,35P) based on
- linear OA(1661, 64, F16, 58) (dual of [64, 3, 59]-code), using algebraic-geometric code AG(F,5P) 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(1634, 64, F16, 28) (dual of [64, 30, 29]-code), using algebraic-geometric code AG(F,35P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1635, 62, F16, 29) (dual of [62, 27, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(1635, 64, F16, 29) (dual of [64, 29, 30]-code), using
- algebraic-geometric code AG(F,34P) [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(1635, 64, F16, 29) (dual of [64, 29, 30]-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.