MinT - Information on Result #1555343

Information on Result #1555343

Linear OOA(8¹⁰², 253, F₈, 3, 47) (dual of [(253, 3), 657, 48]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(8¹⁰², 253, F₈, 2, 47) (dual of [(253, 2), 404, 48]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(8¹⁰², 258, F₈, 2, 47) (dual of [(258, 2), 414, 48]-NRT-code), using
- extracting embedded OOA [i] based on digital (55, 102, 258)-net over F₈, using
  - trace code for nets [i] based on digital (4, 51, 129)-net over F₆₄, using
    - net from sequence [i] based on digital (4, 128)-sequence over F₆₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 4 and N(F) ≥ 129, using
        K_1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F₆₄ [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.