MinT - Information on Result #1153060

Information on Result #1153060

Linear OOA(2¹⁹⁵, 101, F₂, 7, 43) (dual of [(101, 7), 512, 44]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁹⁵, 202, F₂, 4, 43) (dual of [(202, 4), 613, 44]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2²⁴, 7, F₂, 4, 21) (dual of [(7, 4), 4, 22]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,6P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁷¹, 195, F₂, 4, 43) (dual of [(195, 4), 609, 44]-NRT-code), using
  - extracting embedded OOA [i] based on digital (128, 171, 195)-net over F₂, using
    - trace code for nets [i] based on digital (14, 57, 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.