MinT - Information on Result #2793195

Information on Result #2793195

Linear OOA(2²⁵⁹, 205, F₂, 4, 60) (dual of [(205, 4), 561, 61]-NRT-code), using 2¹ times duplication based on linear OOA(2²⁵⁸, 205, F₂, 4, 60) (dual of [(205, 4), 562, 61]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2³⁶, 10, F₂, 4, 30) (dual of [(10, 4), 4, 31]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,9P) [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(2²²², 195, F₂, 4, 60) (dual of [(195, 4), 558, 61]-NRT-code), using
  - extracting embedded OOA [i] based on digital (162, 222, 195)-net over F₂, using
    - trace code for nets [i] based on digital (14, 74, 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.