MinT - Information on Result #2690585

Information on Result #2690585

Linear OOA(4²⁴², 1542, F₄, 3, 49) (dual of [(1542, 3), 4384, 50]-NRT-code), using 4² times duplication based on linear OOA(4²⁴⁰, 1542, F₄, 3, 49) (dual of [(1542, 3), 4386, 50]-NRT-code), using

3 times NRT-code embedding in larger space [i] based on linear OOA(4²³¹, 1539, F₄, 3, 49) (dual of [(1539, 3), 4386, 50]-NRT-code), using
- extracting embedded OOA [i] based on digital (182, 231, 1539)-net over F₄, using
  - trace code for nets [i] based on digital (28, 77, 513)-net over F₆₄, using
    - net from sequence [i] based on digital (28, 512)-sequence over F₆₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513, using
        the Hermitian function field over F₆₄ [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.