MinT - Information on Result #1554699

Information on Result #1554699

Linear OOA(8⁸³, 224, F₈, 3, 38) (dual of [(224, 3), 589, 39]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(8⁸³, 224, F₈, 2, 38) (dual of [(224, 2), 365, 39]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(8⁸³, 226, F₈, 2, 38) (dual of [(226, 2), 369, 39]-NRT-code), using
- 8¹ times duplication [i] based on linear OOA(8⁸², 226, F₈, 2, 38) (dual of [(226, 2), 370, 39]-NRT-code), using
  - extracting embedded OOA [i] based on digital (44, 82, 226)-net over F₈, using
    - trace code for nets [i] based on digital (3, 41, 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.