MinT - Information on Result #2495741

Information on Result #2495741

Linear OOA(4⁷⁴, 314, F₄, 2, 20) (dual of [(314, 2), 554, 21]-NRT-code), using 4¹ times duplication based on linear OOA(4⁷³, 314, F₄, 2, 20) (dual of [(314, 2), 555, 21]-NRT-code), using

2 times NRT-code embedding in larger space [i] based on linear OOA(4⁶⁹, 312, F₄, 2, 20) (dual of [(312, 2), 555, 21]-NRT-code), using
- extracting embedded OOA [i] based on digital (49, 69, 312)-net over F₄, using
  - trace code for nets [i] based on digital (3, 23, 104)-net over F₆₄, using
    - net from sequence [i] based on digital (3, 103)-sequence over F₆₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 3 and N(F) ≥ 104, using
        a function field by SÃ©mirat [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.