MinT - Information on Result #1086901

Information on Result #1086901

Linear OOA(2²⁶⁰, 67, F₂, 4, 180) (dual of [(67, 4), 8, 181]-NRT-code), using juxtaposition based on

linear OOA(2³², 10, F₂, 4, 26) (dual of [(10, 4), 8, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,13P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²²⁰, 57, F₂, 4, 153) (dual of [(57, 4), 8, 154]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³², 10, F₂, 4, 26) (dual of [(10, 4), 8, 27]-NRT-code) (see above)
  2. linear OOA(2¹⁸⁰, 47, F₂, 4, 126) (dual of [(47, 4), 8, 127]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2³², 10, F₂, 4, 26) (dual of [(10, 4), 8, 27]-NRT-code) (see above)
      2. linear OOA(2¹⁴⁰, 37, F₂, 4, 99) (dual of [(37, 4), 8, 100]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2²⁸, 9, F₂, 4, 23) (dual of [(9, 4), 8, 24]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(4;F,12P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
        an explicitly constructive algebraic function field [i]
        linear OOA(2¹⁰⁴, 28, F₂, 4, 75) (dual of [(28, 4), 8, 76]-NRT-code), using
        repeating each code word 2 times [i] based on linear OOA(2⁴⁸, 14, F₂, 4, 37) (dual of [(14, 4), 8, 38]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(4;F,18P) [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.