MinT - Information on Result #2695204

Information on Result #2695204

Linear OOA(5⁵⁷, 133, F₅, 3, 22) (dual of [(133, 3), 342, 23]-NRT-code), using 5² times duplication based on linear OOA(5⁵⁵, 133, F₅, 3, 22) (dual of [(133, 3), 344, 23]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(5⁵², 132, F₅, 3, 22) (dual of [(132, 3), 344, 23]-NRT-code), using
- extracting embedded OOA [i] based on digital (30, 52, 132)-net over F₅, using
  - trace code for nets [i] based on digital (4, 26, 66)-net over F₂₅, using
    - net from sequence [i] based on digital (4, 65)-sequence over F₂₅, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 4 and N(F) ≥ 66, 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.