MinT - Information on Result #1180886

Information on Result #1180886

Digital (47, 62, 89)-net over F₂, using net defined by OOA based on linear OOA(2⁶², 89, F₂, 21, 15) (dual of [(89, 21), 1807, 16]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2⁶², 90, F₂, 7, 15) (dual of [(90, 7), 568, 16]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁹, 47, F₂, 7, 7) (dual of [(47, 7), 310, 8]-NRT-code), using
    - appending kth column [i] based on linear OOA(2¹⁹, 47, F₂, 6, 7) (dual of [(47, 6), 263, 8]-NRT-code), using
      - extracting embedded OOA [i] based on digital (12, 19, 47)-net over F₂, using
        linear code embedding found in a computer search [i]
  2. linear OOA(2⁴³, 45, F₂, 7, 15) (dual of [(45, 7), 272, 16]-NRT-code), using
    - extracting embedded OOA [i] based on digital (28, 43, 45)-net over F₂, using
      - 2 times m-reduction [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.