MinT - Information on Result #1554890

Information on Result #1554890

Linear OOA(8⁸⁹, 257, F₈, 3, 40) (dual of [(257, 3), 682, 41]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(8⁸⁹, 257, F₈, 2, 40) (dual of [(257, 2), 425, 41]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(8⁸⁹, 258, F₈, 2, 40) (dual of [(258, 2), 427, 41]-NRT-code), using
- 8¹ times duplication [i] based on linear OOA(8⁸⁸, 258, F₈, 2, 40) (dual of [(258, 2), 428, 41]-NRT-code), using
  - extracting embedded OOA [i] based on digital (48, 88, 258)-net over F₈, using
    - trace code for nets [i] based on digital (4, 44, 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.