MinT - Information on Result #2700521

Information on Result #2700521

Linear OOA(8¹³⁷, 419, F₈, 3, 43) (dual of [(419, 3), 1120, 44]-NRT-code), using 8² times duplication based on linear OOA(8¹³⁵, 419, F₈, 3, 43) (dual of [(419, 3), 1122, 44]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8³⁵, 65, F₈, 3, 21) (dual of [(65, 3), 160, 22]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,173P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
    - the Suzuki function field over F₈ [i]
2. linear OOA(8¹⁰⁰, 354, F₈, 3, 43) (dual of [(354, 3), 962, 44]-NRT-code), using
  - extracting embedded OOA [i] based on digital (57, 100, 354)-net over F₈, using
    - trace code for nets [i] based on digital (7, 50, 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.