MinT - Information on Result #1181076

Information on Result #1181076

Digital (39, 55, 55)-net over F₂, using net defined by OOA based on linear OOA(2⁵⁵, 55, F₂, 24, 16) (dual of [(55, 24), 1265, 17]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2⁵⁵, 56, F₂, 8, 16) (dual of [(56, 8), 393, 17]-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(2⁴⁰, 40, F₂, 8, 16) (dual of [(40, 8), 280, 17]-NRT-code), using
    - extracting embedded OOA [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.