MinT - Information on Result #2838282

Information on Result #2838282

Linear OOA(2⁷⁸, 42, F₂, 5, 31) (dual of [(42, 5), 132, 32]-NRT-code), using strength reduction based on linear OOA(2⁷⁸, 42, F₂, 5, 32) (dual of [(42, 5), 132, 33]-NRT-code), using

extracting embedded OOA [i] based on digital (46, 78, 42)-net over F₂, using
- trace code for nets [i] based on digital (7, 39, 21)-net over F₄, using
  - net from sequence [i] based on digital (7, 20)-sequence over F₄, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, 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.