MinT - Information on Result #2792155

Information on Result #2792155

Linear OOA(2¹⁶⁰, 73, F₂, 4, 51) (dual of [(73, 4), 132, 52]-NRT-code), using 2¹ times duplication based on linear OOA(2¹⁵⁹, 73, F₂, 4, 51) (dual of [(73, 4), 133, 52]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2²⁷, 7, F₂, 4, 25) (dual of [(7, 4), 1, 26]-NRT-code), using
  - strength reduction [i] based on linear OOA(2²⁷, 7, F₂, 4, 27) (dual of [(7, 4), 1, 28]-NRT-code), using
    - dual of repetition NRT-code with length 7 [i]
2. linear OOA(2¹³², 66, F₂, 4, 51) (dual of [(66, 4), 132, 52]-NRT-code), using
  - extracting embedded OOA [i] based on digital (81, 132, 66)-net over F₂, using
    - trace code for nets [i] based on digital (15, 66, 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.