MinT - Information on Result #2307587

Information on Result #2307587

Linear OA(16⁵¹, 643, F₁₆, 23) (dual of [643, 592, 24]-code), using 1 times code embedding in larger space based on linear OA(16⁵⁰, 642, F₁₆, 23) (dual of [642, 592, 24]-code), using

trace code [i] based on linear OA(256²⁵, 321, F₂₅₆, 23) (dual of [321, 296, 24]-code), using
- extended algebraic-geometric code AG_e(F,297P) [i] based on function field F/F₂₅₆ with g(F) = 2 and N(F) ≥ 321, using
  - sharp bound on the number of rational points on curves with genus 2 [i]

Mode: 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.