MinT - Information on Result #2690543

Information on Result #2690543

Linear OOA(4¹⁷⁹, 534, F₄, 3, 49) (dual of [(534, 3), 1423, 50]-NRT-code), using 4² times duplication based on linear OOA(4¹⁷⁷, 534, F₄, 3, 49) (dual of [(534, 3), 1425, 50]-NRT-code), using

3 times NRT-code embedding in larger space [i] based on linear OOA(4¹⁶⁸, 531, F₄, 3, 49) (dual of [(531, 3), 1425, 50]-NRT-code), using
- extracting embedded OOA [i] based on digital (119, 168, 531)-net over F₄, using
  - trace code for nets [i] based on digital (7, 56, 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.