MinT - Information on Result #1181294

Information on Result #1181294

Digital (51, 68, 86)-net over F₂, using net defined by OOA based on linear OOA(2⁶⁸, 86, F₂, 24, 17) (dual of [(86, 24), 1996, 18]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2⁶⁸, 87, F₂, 8, 17) (dual of [(87, 8), 628, 18]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²¹, 39, F₂, 8, 8) (dual of [(39, 8), 291, 9]-NRT-code), using
    - appending kth column [i] based on linear OOA(2²¹, 39, F₂, 7, 8) (dual of [(39, 7), 252, 9]-NRT-code), using
      - extracting embedded OOA [i] based on digital (13, 21, 39)-net over F₂, using
        linear code embedding found in a computer search [i]
  2. linear OOA(2⁴⁷, 48, F₂, 8, 17) (dual of [(48, 8), 337, 18]-NRT-code), using
    - extracting embedded OOA [i] based on digital (30, 47, 48)-net over F₂, using
      - 1 times m-reduction [i] based on digital (30, 48, 48)-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.