MinT - Information on Result #2610310

Information on Result #2610310

Linear OOA(2⁶⁸, 54, F₂, 3, 23) (dual of [(54, 3), 94, 24]-NRT-code), using strength reduction based on linear OOA(2⁶⁸, 54, F₂, 3, 24) (dual of [(54, 3), 94, 25]-NRT-code), using

extracting embedded OOA [i] based on digital (44, 68, 54)-net over F₂, using
- trace code for nets [i] based on digital (10, 34, 27)-net over F₄, using
  - net from sequence [i] based on digital (10, 26)-sequence over F₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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.