MinT - Information on Result #1015269

Information on Result #1015269

Linear OOA(8¹²⁰, 514, F₈, 3, 35) (dual of [(514, 3), 1422, 36]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(8³⁶, 160, F₈, 3, 17) (dual of [(160, 3), 444, 18]-NRT-code), using
- extracting embedded OOA [i] based on digital (19, 36, 160)-net over F₈, using
  - trace code for nets [i] based on digital (1, 18, 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, 354, F₈, 3, 35) (dual of [(354, 3), 978, 36]-NRT-code), using
- extracting embedded OOA [i] based on digital (49, 84, 354)-net over F₈, using
  - trace code for nets [i] based on digital (7, 42, 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.