MinT - Information on Result #1551182

Information on Result #1551182

Linear OOA(7¹⁸, 128, F₇, 3, 8) (dual of [(128, 3), 366, 9]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(7¹⁸, 128, F₇, 2, 8) (dual of [(128, 2), 238, 9]-NRT-code), using

extracting embedded OOA [i] based on digital (10, 18, 128)-net over F₇, using
- trace code for nets [i] based on digital (1, 9, 64)-net over F₄₉, using
  - net from sequence [i] based on digital (1, 63)-sequence over F₄₉, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄₉ with g(F) = 1 and N(F) ≥ 64, 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.