MinT - Information on Result #1313867

Information on Result #1313867

Linear OA(16⁶⁷, 726, F₁₆, 28) (dual of [726, 659, 29]-code), using 139 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (4, 0, 1, 4 times 0, 1, 11 times 0, 1, 22 times 0, 1, 38 times 0, 1, 57 times 0) based on linear OA(16⁵⁸, 578, F₁₆, 28) (dual of [578, 520, 29]-code), using

trace code [i] based on linear OA(256²⁹, 289, F₂₅₆, 28) (dual of [289, 260, 29]-code), using
- extended algebraic-geometric code AG_e(F,260P) [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.