MinT - Information on Result #1553752

Information on Result #1553752

Linear OOA(8³⁸, 174, F₈, 3, 17) (dual of [(174, 3), 484, 18]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(8³⁸, 174, F₈, 2, 17) (dual of [(174, 2), 310, 18]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(8³⁸, 194, F₈, 2, 17) (dual of [(194, 2), 350, 18]-NRT-code), using
- extracting embedded OOA [i] based on digital (21, 38, 194)-net over F₈, using
  - trace code for nets [i] based on digital (2, 19, 97)-net over F₆₄, using
    - net from sequence [i] based on digital (2, 96)-sequence over F₆₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 2 and N(F) ≥ 97, using
        sharp bound on the number of rational points on curves with genus 2 [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.