MinT - Information on Result #1180870

Information on Result #1180870

Digital (37, 52, 63)-net over F₂, using net defined by OOA based on linear OOA(2⁵², 63, F₂, 21, 15) (dual of [(63, 21), 1271, 16]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2⁵², 64, F₂, 7, 15) (dual of [(64, 7), 396, 16]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁶, 28, F₂, 7, 7) (dual of [(28, 7), 180, 8]-NRT-code), using
    - appending kth column [i] based on linear OOA(2¹⁶, 28, F₂, 6, 7) (dual of [(28, 6), 152, 8]-NRT-code), using
      - extracting embedded OOA [i] based on digital (9, 16, 28)-net over F₂, using
        linear code embedding found in a computer search [i]
  2. linear OOA(2³⁶, 36, F₂, 7, 15) (dual of [(36, 7), 216, 16]-NRT-code), using
    - extracting embedded OOA [i] based on digital (21, 36, 36)-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.