MinT - Information on Result #2700214

Information on Result #2700214

Linear OOA(8¹¹⁹, 484, F₈, 3, 35) (dual of [(484, 3), 1333, 36]-NRT-code), using 8¹ times duplication based on linear OOA(8¹¹⁸, 484, F₈, 3, 35) (dual of [(484, 3), 1334, 36]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8³⁴, 130, F₈, 3, 17) (dual of [(130, 3), 356, 18]-NRT-code), using
  - extracting embedded OOA [i] based on digital (17, 34, 130)-net over F₈, using
    - trace code for nets [i] based on digital (0, 17, 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]
2. 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.