MinT - Information on Result #896756

Information on Result #896756

Linear OOA(8⁹⁸, 368, F₈, 2, 30) (dual of [(368, 2), 638, 31]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(8³², 160, F₈, 2, 15) (dual of [(160, 2), 288, 16]-NRT-code), using
- extracting embedded OOA [i] based on digital (17, 32, 160)-net over F₈, using
  - trace code for nets [i] based on digital (1, 16, 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(8⁶⁶, 208, F₈, 2, 30) (dual of [(208, 2), 350, 31]-NRT-code), using
- extracting embedded OOA [i] based on digital (36, 66, 208)-net over F₈, using
  - trace code for nets [i] based on digital (3, 33, 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.