MinT - Information on Result #1178892

Information on Result #1178892

Digital (112, 120, 4194306)-net over F₂, using net defined by OOA based on linear OOA(2¹²⁰, 4194306, F₂, 8, 8) (dual of [(4194306, 8), 33554328, 9]-NRT-code), using

appending kth column [i] based on linear OOA(2¹²⁰, 4194306, F₂, 7, 8) (dual of [(4194306, 7), 29360022, 9]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁵, 5, F₂, 7, 4) (dual of [(5, 7), 30, 5]-NRT-code), using
    - appending 3 arbitrary columns [i] based on linear OOA(2⁵, 5, F₂, 4, 4) (dual of [(5, 4), 15, 5]-NRT-code), using
      - appending kth column [i] based on linear OOA(2⁵, 5, F₂, 3, 4) (dual of [(5, 3), 10, 5]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
        an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹¹⁵, 4194301, F₂, 7, 8) (dual of [(4194301, 7), 29359992, 9]-NRT-code), using
    - OOA 2-folding and stacking with additional row [i] based on linear OOA(2¹¹⁵, large, F₂, 2, 8), using
      - OOAs constructed from BCH codes [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.