MinT - Information on Result #3000576

Information on Result #3000576

Linear OOA(2¹⁶⁴, 76, F₂, 8, 51) (dual of [(76, 8), 444, 52]-NRT-code), using 2¹ times duplication based on linear OOA(2¹⁶³, 76, F₂, 8, 51) (dual of [(76, 8), 445, 52]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2³¹, 10, F₂, 8, 25) (dual of [(10, 8), 49, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,54P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹³², 66, F₂, 8, 51) (dual of [(66, 8), 396, 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.