MinT - Information on Result #2792874

Information on Result #2792874

Linear OOA(2²⁴⁸, 205, F₂, 4, 57) (dual of [(205, 4), 572, 58]-NRT-code), using 2¹ times duplication based on linear OOA(2²⁴⁷, 205, F₂, 4, 57) (dual of [(205, 4), 573, 58]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2³⁴, 10, F₂, 4, 28) (dual of [(10, 4), 6, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,11P) [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(2²¹³, 195, F₂, 4, 57) (dual of [(195, 4), 567, 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.