MinT - Information on Result #2307575

Information on Result #2307575

Linear OA(16³⁹, 643, F₁₆, 17) (dual of [643, 604, 18]-code), using 1 times code embedding in larger space based on linear OA(16³⁸, 642, F₁₆, 17) (dual of [642, 604, 18]-code), using

trace code [i] based on linear OA(256¹⁹, 321, F₂₅₆, 17) (dual of [321, 302, 18]-code), using
- extended algebraic-geometric code AG_e(F,303P) [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.