MinT - Information on Result #1181080

Information on Result #1181080

Digital (45, 61, 78)-net over F₂, using net defined by OOA based on linear OOA(2⁶¹, 78, F₂, 24, 16) (dual of [(78, 24), 1811, 17]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2⁶¹, 79, F₂, 8, 16) (dual of [(79, 8), 571, 17]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²¹, 39, F₂, 8, 8) (dual of [(39, 8), 291, 9]-NRT-code), using
    - appending kth column [i] based on linear OOA(2²¹, 39, F₂, 7, 8) (dual of [(39, 7), 252, 9]-NRT-code), using
      - extracting embedded OOA [i] based on digital (13, 21, 39)-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.