MinT - Information on Result #1551637

Information on Result #1551637

Linear OOA(7⁵³, 151, F₇, 3, 24) (dual of [(151, 3), 400, 25]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(7⁵³, 151, F₇, 2, 24) (dual of [(151, 2), 249, 25]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(7⁵³, 156, F₇, 2, 24) (dual of [(156, 2), 259, 25]-NRT-code), using
- 7¹ times duplication [i] based on linear OOA(7⁵², 156, F₇, 2, 24) (dual of [(156, 2), 260, 25]-NRT-code), using
  - extracting embedded OOA [i] based on digital (28, 52, 156)-net over F₇, using
    - trace code for nets [i] based on digital (2, 26, 78)-net over F₄₉, using
      - net from sequence [i] based on digital (2, 77)-sequence over F₄₉, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄₉ with g(F) = 2 and N(F) ≥ 78, 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.