MinT - Information on Result #1015312

Information on Result #1015312

Linear OOA(8¹²⁶, 464, F₈, 3, 37) (dual of [(464, 3), 1266, 38]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(8⁴², 208, F₈, 3, 18) (dual of [(208, 3), 582, 19]-NRT-code), using
- extracting embedded OOA [i] based on digital (24, 42, 208)-net over F₈, using
  - trace code for nets [i] based on digital (3, 21, 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]
linear OOA(8⁸⁴, 256, F₈, 3, 37) (dual of [(256, 3), 684, 38]-NRT-code), using
- extracting embedded OOA [i] based on digital (47, 84, 256)-net over F₈, using
  - trace code for nets [i] based on digital (5, 42, 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.