MinT - Information on Result #2791711

Information on Result #2791711

Linear OOA(2¹⁴⁹, 72, F₂, 4, 47) (dual of [(72, 4), 139, 48]-NRT-code), using 2² times duplication based on linear OOA(2¹⁴⁷, 72, F₂, 4, 47) (dual of [(72, 4), 141, 48]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2²³, 6, F₂, 4, 23) (dual of [(6, 4), 1, 24]-NRT-code), using
  - dual of repetition NRT-code with length 6 [i]
2. linear OOA(2¹²⁴, 66, F₂, 4, 47) (dual of [(66, 4), 140, 48]-NRT-code), using
  - extracting embedded OOA [i] based on digital (77, 124, 66)-net over F₂, using
    - trace code for nets [i] based on digital (15, 62, 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.