MinT - Information on Result #2877125

Information on Result #2877125

Linear OOA(3¹⁴³, 158, F₃, 5, 44) (dual of [(158, 5), 647, 45]-NRT-code), using 3¹ times duplication based on linear OOA(3¹⁴², 158, F₃, 5, 44) (dual of [(158, 5), 648, 45]-NRT-code), using

2 times NRT-code embedding in larger space [i] based on linear OOA(3¹³², 156, F₃, 5, 44) (dual of [(156, 5), 648, 45]-NRT-code), using
- extracting embedded OOA [i] based on digital (88, 132, 156)-net over F₃, using
  - trace code for nets [i] based on digital (22, 66, 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.