MinT - Information on Result #2700901

Information on Result #2700901

Linear OOA(8¹⁵⁸, 402, F₈, 3, 53) (dual of [(402, 3), 1048, 54]-NRT-code), using 8¹ times duplication based on linear OOA(8¹⁵⁷, 402, F₈, 3, 53) (dual of [(402, 3), 1049, 54]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8³⁷, 48, F₈, 3, 26) (dual of [(48, 3), 107, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,117P) [i] based on function field F/F₈ with g(F) = 11 and N(F) ≥ 48, using
    - a function field by SÃ©mirat [i]
2. linear OOA(8¹²⁰, 354, F₈, 3, 53) (dual of [(354, 3), 942, 54]-NRT-code), using
  - extracting embedded OOA [i] based on digital (67, 120, 354)-net over F₈, using
    - trace code for nets [i] based on digital (7, 60, 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.