MinT - Information on Result #2869260

Information on Result #2869260

Linear OOA(2²⁵¹, 207, F₂, 5, 57) (dual of [(207, 5), 784, 58]-NRT-code), using 2¹ times duplication based on linear OOA(2²⁵⁰, 207, F₂, 5, 57) (dual of [(207, 5), 785, 58]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2³⁷, 12, F₂, 5, 28) (dual of [(12, 5), 23, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,31P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2²¹³, 195, F₂, 5, 57) (dual of [(195, 5), 762, 58]-NRT-code), using
  - extracting embedded OOA [i] based on digital (156, 213, 195)-net over F₂, using
    - trace code for nets [i] based on digital (14, 71, 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.