MinT - Information on Result #2791252

Information on Result #2791252

Linear OOA(2¹²⁹, 69, F₂, 4, 43) (dual of [(69, 4), 147, 44]-NRT-code), using 2¹ times duplication based on linear OOA(2¹²⁸, 69, F₂, 4, 43) (dual of [(69, 4), 148, 44]-NRT-code), using

3 times NRT-code embedding in larger space [i] based on linear OOA(2¹¹⁶, 66, F₂, 4, 43) (dual of [(66, 4), 148, 44]-NRT-code), using
- extracting embedded OOA [i] based on digital (73, 116, 66)-net over F₂, using
  - trace code for nets [i] based on digital (15, 58, 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.