MinT - Information on Result #1179978

Information on Result #1179978

Digital (30, 41, 63)-net over F₂, using net defined by OOA based on linear OOA(2⁴¹, 63, F₂, 15, 11) (dual of [(63, 15), 904, 12]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2⁴¹, 64, F₂, 5, 11) (dual of [(64, 5), 279, 12]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹², 36, F₂, 5, 5) (dual of [(36, 5), 168, 6]-NRT-code), using
    - appending kth column [i] based on linear OOA(2¹², 36, F₂, 4, 5) (dual of [(36, 4), 132, 6]-NRT-code), using
      - extracting embedded OOA [i] based on digital (7, 12, 36)-net over F₂, using
        linear code embedding found in a computer search [i]
  2. linear OOA(2²⁹, 32, F₂, 5, 11) (dual of [(32, 5), 131, 12]-NRT-code), using
    - extracting embedded OOA [i] based on digital (18, 29, 32)-net over F₂, using
      - 3 times m-reduction [i] based on digital (18, 32, 32)-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.