MinT - Information on Result #3001149

Information on Result #3001149

Linear OOA(2¹⁷⁹, 76, F₂, 8, 57) (dual of [(76, 8), 429, 58]-NRT-code), using 2² times duplication based on linear OOA(2¹⁷⁷, 76, F₂, 8, 57) (dual of [(76, 8), 431, 58]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁶⁶, 34, F₂, 8, 28) (dual of [(34, 8), 206, 29]-NRT-code), using
  - extracting embedded OOA [i] based on digital (38, 66, 34)-net over F₂, using
    - trace code for nets [i] based on digital (5, 33, 17)-net over F₄, using
      - net from sequence [i] based on digital (5, 16)-sequence over F₄, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
        an explicitly constructive algebraic function field [i]
2. linear OOA(2¹¹¹, 42, F₂, 8, 57) (dual of [(42, 8), 225, 58]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,278P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
    - an explicitly constructive algebraic function field [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.