MinT - Information on Result #1547020

Information on Result #1547020

Linear OOA(5²⁸, 68, F₅, 3, 13) (dual of [(68, 3), 176, 14]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(5²⁸, 68, F₅, 2, 13) (dual of [(68, 2), 108, 14]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(5²⁸, 72, F₅, 2, 13) (dual of [(72, 2), 116, 14]-NRT-code), using
- extracting embedded OOA [i] based on digital (15, 28, 72)-net over F₅, using
  - trace code for nets [i] based on digital (1, 14, 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.