MinT - Information on Result #1180676

Information on Result #1180676

Digital (42, 56, 79)-net over F₂, using net defined by OOA based on linear OOA(2⁵⁶, 79, F₂, 21, 14) (dual of [(79, 21), 1603, 15]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2⁵⁶, 80, F₂, 7, 14) (dual of [(80, 7), 504, 15]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁸, 41, F₂, 7, 7) (dual of [(41, 7), 269, 8]-NRT-code), using
    - appending kth column [i] based on linear OOA(2¹⁸, 41, F₂, 6, 7) (dual of [(41, 6), 228, 8]-NRT-code), using
      - extracting embedded OOA [i] based on digital (11, 18, 41)-net over F₂, using
        linear code embedding found in a computer search [i]
  2. linear OOA(2³⁸, 40, F₂, 7, 14) (dual of [(40, 7), 242, 15]-NRT-code), using
    - extracting embedded OOA [i] based on digital (24, 38, 40)-net over F₂, using
      - 2 times m-reduction [i] based on digital (24, 40, 40)-net over F₂, using
        a shift-net [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.