MinT - Information on Result #2699459

Information on Result #2699459

Linear OOA(8⁵³, 355, F₈, 3, 17) (dual of [(355, 3), 1012, 18]-NRT-code), using 8² times duplication based on linear OOA(8⁵¹, 355, F₈, 3, 17) (dual of [(355, 3), 1014, 18]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(8⁴⁸, 354, F₈, 3, 17) (dual of [(354, 3), 1014, 18]-NRT-code), using
- extracting embedded OOA [i] based on digital (31, 48, 354)-net over F₈, using
  - trace code for nets [i] based on digital (7, 24, 177)-net over F₆₄, using
    - net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
        a function field by GarcÃa and Quoos [i]

Mode: Constructive and 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.