MinT - Information on Result #1015361

Information on Result #1015361

Linear OOA(8¹²⁴, 368, F₈, 3, 39) (dual of [(368, 3), 980, 40]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(8⁴⁰, 160, F₈, 3, 19) (dual of [(160, 3), 440, 20]-NRT-code), using
- extracting embedded OOA [i] based on digital (21, 40, 160)-net over F₈, using
  - trace code for nets [i] based on digital (1, 20, 80)-net over F₆₄, using
    - net from sequence [i] based on digital (1, 79)-sequence over F₆₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
        a function field by SÃ©mirat [i]
linear OOA(8⁸⁴, 208, F₈, 3, 39) (dual of [(208, 3), 540, 40]-NRT-code), using
- extracting embedded OOA [i] based on digital (45, 84, 208)-net over F₈, using
  - trace code for nets [i] based on digital (3, 42, 104)-net over F₆₄, using
    - net from sequence [i] based on digital (3, 103)-sequence over F₆₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 3 and N(F) ≥ 104, using
        a function field by SÃ©mirat [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.