MinT - Information on Result #1180880

Information on Result #1180880

Digital (43, 58, 81)-net over F₂, using net defined by OOA based on linear OOA(2⁵⁸, 81, F₂, 21, 15) (dual of [(81, 21), 1643, 16]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2⁵⁸, 82, F₂, 7, 15) (dual of [(82, 7), 516, 16]-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(2⁴⁰, 41, F₂, 7, 15) (dual of [(41, 7), 247, 16]-NRT-code), using
    - extracting embedded OOA [i] based on digital (25, 40, 41)-net over F₂, using
      - 1 times m-reduction [i] based on digital (25, 41, 41)-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.