MinT - Information on Result #2669370

Information on Result #2669370

Linear OOA(2¹⁰⁹, 56, F₂, 3, 42) (dual of [(56, 3), 59, 43]-NRT-code), using 2¹ times duplication based on linear OOA(2¹⁰⁸, 56, F₂, 3, 42) (dual of [(56, 3), 60, 43]-NRT-code), using

extracting embedded OOA [i] based on digital (66, 108, 56)-net over F₂, using
- trace code for nets [i] based on digital (12, 54, 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.