MinT - Information on Result #2791140

Information on Result #2791140

Linear OOA(2¹²⁴, 68, F₂, 4, 42) (dual of [(68, 4), 148, 43]-NRT-code), using 2² times duplication based on linear OOA(2¹²², 68, F₂, 4, 42) (dual of [(68, 4), 150, 43]-NRT-code), using

2 times NRT-code embedding in larger space [i] based on linear OOA(2¹¹⁴, 66, F₂, 4, 42) (dual of [(66, 4), 150, 43]-NRT-code), using
- extracting embedded OOA [i] based on digital (72, 114, 66)-net over F₂, using
  - trace code for nets [i] based on digital (15, 57, 33)-net over F₄, using
    - net from sequence [i] based on digital (15, 32)-sequence over F₄, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, 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.