MinT - Information on Result #2700826

Information on Result #2700826

Linear OOA(8¹⁵⁴, 402, F₈, 3, 51) (dual of [(402, 3), 1052, 52]-NRT-code), using 8² times duplication based on linear OOA(8¹⁵², 402, F₈, 3, 51) (dual of [(402, 3), 1054, 52]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8³⁶, 48, F₈, 3, 25) (dual of [(48, 3), 108, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,118P) [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(8¹¹⁶, 354, F₈, 3, 51) (dual of [(354, 3), 946, 52]-NRT-code), using
  - extracting embedded OOA [i] based on digital (65, 116, 354)-net over F₈, using
    - trace code for nets [i] based on digital (7, 58, 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.