MinT - Information on Result #2963477

Information on Result #2963477

Linear OOA(2²⁴⁷, 274, F₂, 7, 47) (dual of [(274, 7), 1671, 48]-NRT-code), using 2¹ times duplication based on linear OOA(2²⁴⁶, 274, F₂, 7, 47) (dual of [(274, 7), 1672, 48]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2³⁴, 14, F₂, 7, 23) (dual of [(14, 7), 64, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,74P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2²¹², 260, F₂, 7, 47) (dual of [(260, 7), 1608, 48]-NRT-code), using
  - extracting embedded OOA [i] based on digital (165, 212, 260)-net over F₂, using
    - trace code for nets [i] based on digital (6, 53, 65)-net over F₁₆, using
      - net from sequence [i] based on digital (6, 64)-sequence over F₁₆, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
        the Hermitian function field over F₁₆ [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.