MinT - Information on Result #1167495

Information on Result #1167495

Linear OOA(2²⁴⁴, 134, F₂, 8, 48) (dual of [(134, 8), 828, 49]-NRT-code), using OOA 2-folding based on linear OOA(2²⁴⁴, 268, F₂, 4, 48) (dual of [(268, 4), 828, 49]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2²⁸, 8, F₂, 4, 24) (dual of [(8, 4), 4, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,7P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2²¹⁶, 260, F₂, 4, 48) (dual of [(260, 4), 824, 49]-NRT-code), using
  - extracting embedded OOA [i] based on digital (168, 216, 260)-net over F₂, using
    - trace code for nets [i] based on digital (6, 54, 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.