MinT - Information on Result #1179756

Information on Result #1179756

Digital (20, 30, 40)-net over F₂, using net defined by OOA based on linear OOA(2³⁰, 40, F₂, 15, 10) (dual of [(40, 15), 570, 11]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2³⁰, 41, F₂, 5, 10) (dual of [(41, 5), 175, 11]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁰, 20, F₂, 5, 5) (dual of [(20, 5), 90, 6]-NRT-code), using
    - appending kth column [i] based on linear OOA(2¹⁰, 20, F₂, 4, 5) (dual of [(20, 4), 70, 6]-NRT-code), using
      - extracting embedded OOA [i] based on digital (5, 10, 20)-net over F₂, using
        linear code embedding found in a computer search [i]
  2. linear OOA(2²⁰, 21, F₂, 5, 10) (dual of [(21, 5), 85, 11]-NRT-code), using
    - extracting embedded OOA [i] based on digital (10, 20, 21)-net over F₂, using
      - linear code embedding found in a computer search [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.