MinT - Information on Result #1313946

Information on Result #1313946

Linear OA(16⁷⁸, 751, F₁₆, 33) (dual of [751, 673, 34]-code), using 163 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (4, 0, 1, 0, 0, 0, 1, 8 times 0, 1, 16 times 0, 1, 29 times 0, 1, 44 times 0, 1, 55 times 0) based on linear OA(16⁶⁸, 578, F₁₆, 33) (dual of [578, 510, 34]-code), using

trace code [i] based on linear OA(256³⁴, 289, F₂₅₆, 33) (dual of [289, 255, 34]-code), using
- extended algebraic-geometric code AG_e(F,255P) [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.