MinT - Information on Result #2878587

Information on Result #2878587

Linear OOA(3¹⁷⁷, 159, F₃, 5, 57) (dual of [(159, 5), 618, 58]-NRT-code), using 3⁴ times duplication based on linear OOA(3¹⁷³, 159, F₃, 5, 57) (dual of [(159, 5), 622, 58]-NRT-code), using

3 times NRT-code embedding in larger space [i] based on linear OOA(3¹⁵⁸, 156, F₃, 5, 57) (dual of [(156, 5), 622, 58]-NRT-code), using
- extracting embedded OOA [i] based on digital (101, 158, 156)-net over F₃, using
  - trace code for nets [i] based on digital (22, 79, 78)-net over F₉, using
    - net from sequence [i] based on digital (22, 77)-sequence over F₉, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 22 and N(F) ≥ 78, using
        F₃ from the tower of function fields by GarcÃa and Stichtenoth over F₉ [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.