MinT - Information on Result #1553836

Information on Result #1553836

Linear OOA(8⁴⁴, 219, F₈, 3, 19) (dual of [(219, 3), 613, 20]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(8⁴⁴, 219, F₈, 2, 19) (dual of [(219, 2), 394, 20]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(8⁴⁴, 226, F₈, 2, 19) (dual of [(226, 2), 408, 20]-NRT-code), using
- extracting embedded OOA [i] based on digital (25, 44, 226)-net over F₈, using
  - trace code for nets [i] based on digital (3, 22, 113)-net over F₆₄, using
    - net from sequence [i] based on digital (3, 112)-sequence over F₆₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 3 and N(F) ≥ 113, using
        a curve from the manYPoints database [i]

Mode: 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.