MinT - Information on Result #1025191

Information on Result #1025191

Linear OOA(2²¹³, 75, F₂, 3, 112) (dual of [(75, 3), 12, 113]-NRT-code), using juxtaposition based on

linear OOA(2⁹⁰, 34, F₂, 3, 50) (dual of [(34, 3), 12, 51]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴⁰, 17, F₂, 3, 25) (dual of [(17, 3), 11, 26]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,25P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁵⁰, 17, F₂, 3, 50) (dual of [(17, 3), 1, 51]-NRT-code), using
    - dual of repetition NRT-code with length 17 [i]
linear OOA(2¹¹¹, 41, F₂, 3, 61) (dual of [(41, 3), 12, 62]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴⁹, 20, F₂, 3, 30) (dual of [(20, 3), 11, 31]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,29P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁶², 21, F₂, 3, 61) (dual of [(21, 3), 1, 62]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁶², 21, F₂, 3, 62) (dual of [(21, 3), 1, 63]-NRT-code), using
      - dual of repetition NRT-code with length 21 [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.