MinT - Information on Result #2699920

Information on Result #2699920

Linear OOA(8⁸⁷, 382, F₈, 3, 27) (dual of [(382, 3), 1059, 28]-NRT-code), using 8¹ times duplication based on linear OOA(8⁸⁶, 382, F₈, 3, 27) (dual of [(382, 3), 1060, 28]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8¹⁸, 28, F₈, 3, 13) (dual of [(28, 3), 66, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,70P) [i] based on function field F/F₈ with g(F) = 5 and N(F) ≥ 28, using
    - a function field by SÃ©mirat [i]
2. linear OOA(8⁶⁸, 354, F₈, 3, 27) (dual of [(354, 3), 994, 28]-NRT-code), using
  - extracting embedded OOA [i] based on digital (41, 68, 354)-net over F₈, using
    - trace code for nets [i] based on digital (7, 34, 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.