MinT - Information on Result #2692263

Information on Result #2692263

Linear OOA(4²²³, 533, F₄, 3, 65) (dual of [(533, 3), 1376, 66]-NRT-code), using 4¹ times duplication based on linear OOA(4²²², 533, F₄, 3, 65) (dual of [(533, 3), 1377, 66]-NRT-code), using

2 times NRT-code embedding in larger space [i] based on linear OOA(4²¹⁶, 531, F₄, 3, 65) (dual of [(531, 3), 1377, 66]-NRT-code), using
- extracting embedded OOA [i] based on digital (151, 216, 531)-net over F₄, using
  - trace code for nets [i] based on digital (7, 72, 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.