MinT - Information on Result #2729475

Information on Result #2729475

Linear OOA(8⁵⁵, 162, F₈, 3, 26) (dual of [(162, 3), 431, 27]-NRT-code), using 8¹ times duplication based on linear OOA(8⁵⁴, 162, F₈, 3, 26) (dual of [(162, 3), 432, 27]-NRT-code), using

extracting embedded OOA [i] based on digital (28, 54, 162)-net over F₈, using
- trace code for nets [i] based on digital (1, 27, 81)-net over F₆₄, using
  - net from sequence [i] based on digital (1, 80)-sequence over F₆₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [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.