MinT - Information on Result #1181300

Information on Result #1181300

Digital (54, 71, 89)-net over F₂, using net defined by OOA based on linear OOA(2⁷¹, 89, F₂, 24, 17) (dual of [(89, 24), 2065, 18]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2⁷¹, 90, F₂, 8, 17) (dual of [(90, 8), 649, 18]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁶, 49, F₂, 8, 8) (dual of [(49, 8), 366, 9]-NRT-code), using
    - appending kth column [i] based on linear OOA(2²⁶, 49, F₂, 7, 8) (dual of [(49, 7), 317, 9]-NRT-code), using
      - extracting embedded OOA [i] based on digital (18, 26, 49)-net over F₂, using
        a net from the Salzburg tables [i]
  2. linear OOA(2⁴⁵, 45, F₂, 8, 17) (dual of [(45, 8), 315, 18]-NRT-code), using
    - extracting embedded OOA [i] based on digital (28, 45, 45)-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.