MinT - Information on Result #1313961

Information on Result #1313961

Linear OA(16⁸⁰, 746, F₁₆, 34) (dual of [746, 666, 35]-code), using 158 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (4, 0, 1, 0, 0, 0, 1, 7 times 0, 1, 16 times 0, 1, 28 times 0, 1, 42 times 0, 1, 54 times 0) based on linear OA(16⁷⁰, 578, F₁₆, 34) (dual of [578, 508, 35]-code), using

trace code [i] based on linear OA(256³⁵, 289, F₂₅₆, 34) (dual of [289, 254, 35]-code), using
- extended algebraic-geometric code AG_e(F,254P) [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.