MinT - Information on Result #2637252

Information on Result #2637252

Linear OOA(4²³⁸, 170, F₄, 3, 80) (dual of [(170, 3), 272, 81]-NRT-code), using strength reduction based on linear OOA(4²³⁸, 170, F₄, 3, 81) (dual of [(170, 3), 272, 82]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(4⁸⁴, 66, F₄, 3, 40) (dual of [(66, 3), 114, 41]-NRT-code), using
  - extracting embedded OOA [i] based on digital (44, 84, 66)-net over F₄, using
    - trace code for nets [i] based on digital (2, 42, 33)-net over F₁₆, using
      - net from sequence [i] based on digital (2, 32)-sequence over F₁₆, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, using
        a function field by SÃ©mirat [i]
2. linear OOA(4¹⁵⁴, 104, F₄, 3, 81) (dual of [(104, 3), 158, 82]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,230P) [i] based on function field F/F₄ with g(F) = 73 and N(F) ≥ 104, using
    - F₆ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [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.