MinT - Information on Result #1057573

Information on Result #1057573

Linear OOA(2¹³⁰, 34, F₂, 4, 80) (dual of [(34, 4), 6, 81]-NRT-code), using OOA 2-folding based on linear OOA(2¹³⁰, 68, F₂, 2, 80) (dual of [(68, 2), 6, 81]-NRT-code), using

strength reduction [i] based on linear OOA(2¹³⁰, 68, F₂, 2, 82) (dual of [(68, 2), 6, 83]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁶, 6, F₂, 2, 4) (dual of [(6, 2), 6, 5]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹¹⁸, 62, F₂, 2, 77) (dual of [(62, 2), 6, 78]-NRT-code), using
    - 2 step truncation [i] based on linear OOA(2¹²⁰, 63, F₂, 2, 79) (dual of [(63, 2), 6, 80]-NRT-code), using
      - concatenation of two NRT-codes [i] based on
        linear OA(4¹⁸, 21, F₄, 15) (dual of [21, 3, 16]-code), using
        Simplex code S(3,4) [i]
        linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [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.