MinT - Information on Result #1180884

Information on Result #1180884

Digital (46, 61, 87)-net over F₂, using net defined by OOA based on linear OOA(2⁶¹, 87, F₂, 21, 15) (dual of [(87, 21), 1766, 16]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2⁶¹, 88, F₂, 7, 15) (dual of [(88, 7), 555, 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(2⁴², 44, F₂, 7, 15) (dual of [(44, 7), 266, 16]-NRT-code), using
    - extracting embedded OOA [i] based on digital (27, 42, 44)-net over F₂, using
      - 2 times m-reduction [i] based on digital (27, 44, 44)-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.