Information on Result #658636
Linear OA(1673, 83, F16, 59) (dual of [83, 10, 60]-code), using construction X applied to AG(F,4P) ⊂ AG(F,15P) based on
- linear OA(1662, 64, F16, 59) (dual of [64, 2, 60]-code), using algebraic-geometric code AG(F,4P) 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(1654, 64, F16, 48) (dual of [64, 10, 49]-code), using algebraic-geometric code AG(F,15P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1611, 19, F16, 10) (dual of [19, 8, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(1611, 24, F16, 10) (dual of [24, 13, 11]-code), using
- extended algebraic-geometric code AGe(F,13P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1611, 24, F16, 10) (dual of [24, 13, 11]-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.