Information on Result #658709
Linear OA(1685, 111, F16, 54) (dual of [111, 26, 55]-code), using construction X applied to AG(F,9P) ⊂ AG(F,31P) based on
- linear OA(1659, 64, F16, 54) (dual of [64, 5, 55]-code), using algebraic-geometric code AG(F,9P) 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(1638, 64, F16, 32) (dual of [64, 26, 33]-code), using algebraic-geometric code AG(F,31P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1626, 47, F16, 21) (dual of [47, 21, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(1626, 49, F16, 21) (dual of [49, 23, 22]-code), using
- extended algebraic-geometric code AGe(F,27P) [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, using
- discarding factors / shortening the dual code based on linear OA(1626, 49, F16, 21) (dual of [49, 23, 22]-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.