MinT - Information on Result #1168869

Information on Result #1168869

Linear OOA(2¹²⁹, 17, F₂, 8, 94) (dual of [(17, 8), 7, 95]-NRT-code), using OOA 2-folding based on linear OOA(2¹²⁹, 34, F₂, 4, 94) (dual of [(34, 4), 7, 95]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³³, 10, F₂, 4, 27) (dual of [(10, 4), 7, 28]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,12P) [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(2⁸⁹, 24, F₂, 4, 66) (dual of [(24, 4), 7, 67]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2³³, 10, F₂, 4, 27) (dual of [(10, 4), 7, 28]-NRT-code) (see above)
    2. linear OOA(2⁴⁹, 14, F₂, 4, 38) (dual of [(14, 4), 7, 39]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,17P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
        an explicitly constructive algebraic function field [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.