MinT - Information on Result #1167453

Information on Result #1167453

Linear OOA(2²¹¹, 102, F₂, 8, 47) (dual of [(102, 8), 605, 48]-NRT-code), using OOA 2-folding based on linear OOA(2²¹¹, 204, F₂, 4, 47) (dual of [(204, 4), 605, 48]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2²⁸, 9, F₂, 4, 23) (dual of [(9, 4), 8, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,12P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁸³, 195, F₂, 4, 47) (dual of [(195, 4), 597, 48]-NRT-code), using
  - extracting embedded OOA [i] based on digital (136, 183, 195)-net over F₂, using
    - trace code for nets [i] based on digital (14, 61, 65)-net over F₈, using
      - net from sequence [i] based on digital (14, 64)-sequence over F₈, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
        the Suzuki function field over F₈ [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.