MinT - Information on Result #1165279

Information on Result #1165279

Linear OOA(2⁷⁸, 67, F₂, 8, 17) (dual of [(67, 8), 458, 18]-NRT-code), using OOA 2-folding based on linear OOA(2⁷⁸, 134, F₂, 4, 17) (dual of [(134, 4), 458, 18]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2⁷⁸, 135, F₂, 4, 17) (dual of [(135, 4), 462, 18]-NRT-code), using
- extracting embedded OOA [i] based on digital (61, 78, 135)-net over F₂, using
  - trace code for nets [i] based on digital (9, 26, 45)-net over F₈, using
    - net from sequence [i] based on digital (9, 44)-sequence over F₈, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 9 and N(F) ≥ 45, 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.