MinT - Information on Result #896901

Information on Result #896901

Linear OOA(8¹¹⁸, 386, F₈, 2, 36) (dual of [(386, 2), 654, 37]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(8³⁶, 130, F₈, 2, 18) (dual of [(130, 2), 224, 19]-NRT-code), using
- extracting embedded OOA [i] based on digital (18, 36, 130)-net over F₈, using
  - trace code for nets [i] based on digital (0, 18, 65)-net over F₆₄, using
    - net from sequence [i] based on digital (0, 64)-sequence over F₆₄, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 0 and N(F) ≥ 65, using
        the rational function field F₆₄(x) [i]
      - Niederreiter sequence [i]
linear OOA(8⁸², 256, F₈, 2, 36) (dual of [(256, 2), 430, 37]-NRT-code), using
- extracting embedded OOA [i] based on digital (46, 82, 256)-net over F₈, using
  - trace code for nets [i] based on digital (5, 41, 128)-net over F₆₄, using
    - net from sequence [i] based on digital (5, 127)-sequence over F₆₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 5 and N(F) ≥ 128, 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.