MinT - Information on Result #1181288

Information on Result #1181288

Digital (42, 59, 59)-net over F₂, using net defined by OOA based on linear OOA(2⁵⁹, 59, F₂, 24, 17) (dual of [(59, 24), 1357, 18]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2⁵⁹, 60, F₂, 8, 17) (dual of [(60, 8), 421, 18]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁵, 16, F₂, 8, 8) (dual of [(16, 8), 113, 9]-NRT-code), using
    - appending kth column [i] based on linear OOA(2¹⁵, 16, F₂, 7, 8) (dual of [(16, 7), 97, 9]-NRT-code), using
      - extracting embedded OOA [i] based on digital (7, 15, 16)-net over F₂, using
        linear code embedding found in a computer search [i]
  2. linear OOA(2⁴⁴, 44, F₂, 8, 17) (dual of [(44, 8), 308, 18]-NRT-code), using
    - extracting embedded OOA [i] based on digital (27, 44, 44)-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.