MinT - Information on Result #2307330

Information on Result #2307330

Linear OA(8³³, 163, F₈, 15) (dual of [163, 130, 16]-code), using 1 times code embedding in larger space based on linear OA(8³², 162, F₈, 15) (dual of [162, 130, 16]-code), using

trace code [i] based on linear OA(64¹⁶, 81, F₆₄, 15) (dual of [81, 65, 16]-code), using
- extended algebraic-geometric code AG_e(F,65P) [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 81, 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.