MinT - Information on Result #1313883

Information on Result #1313883

Linear OA(16⁷⁰, 786, F₁₆, 29) (dual of [786, 716, 30]-code), using 198 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (4, 0, 1, 4 times 0, 1, 10 times 0, 1, 20 times 0, 1, 36 times 0, 1, 53 times 0, 1, 67 times 0) based on linear OA(16⁶⁰, 578, F₁₆, 29) (dual of [578, 518, 30]-code), using

trace code [i] based on linear OA(256³⁰, 289, F₂₅₆, 29) (dual of [289, 259, 30]-code), using
- extended algebraic-geometric code AG_e(F,259P) [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.