MinT - Information on Result #1547145

Information on Result #1547145

Linear OOA(5³⁸, 67, F₅, 3, 18) (dual of [(67, 3), 163, 19]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(5³⁸, 67, F₅, 2, 18) (dual of [(67, 2), 96, 19]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(5³⁸, 72, F₅, 2, 18) (dual of [(72, 2), 106, 19]-NRT-code), using
- extracting embedded OOA [i] based on digital (20, 38, 72)-net over F₅, using
  - trace code for nets [i] based on digital (1, 19, 36)-net over F₂₅, using
    - net from sequence [i] based on digital (1, 35)-sequence over F₂₅, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 1 and N(F) ≥ 36, 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.