MinT - Information on Result #2788680

Information on Result #2788680

Linear OOA(2⁶¹, 56, F₂, 4, 18) (dual of [(56, 4), 163, 19]-NRT-code), using 2¹ times duplication based on linear OOA(2⁶⁰, 56, F₂, 4, 18) (dual of [(56, 4), 164, 19]-NRT-code), using

extracting embedded OOA [i] based on digital (42, 60, 56)-net over F₂, using
- trace code for nets [i] based on digital (12, 30, 28)-net over F₄, using
  - net from sequence [i] based on digital (12, 27)-sequence over F₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 12 and N(F) ≥ 28, 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.