MinT - Information on Result #2307576

Information on Result #2307576

Linear OA(16³⁹, 579, F₁₆, 18) (dual of [579, 540, 19]-code), using 1 times code embedding in larger space based on linear OA(16³⁸, 578, F₁₆, 18) (dual of [578, 540, 19]-code), using

trace code [i] based on linear OA(256¹⁹, 289, F₂₅₆, 18) (dual of [289, 270, 19]-code), using
- extended algebraic-geometric code AG_e(F,270P) [i] based on function field F/F₂₅₆ with g(F) = 1 and N(F) ≥ 289, using
  - sharp bound on the number of rational points on curves with genus 1 [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.