MinT - Information on Result #1181084

Information on Result #1181084

Digital (51, 67, 86)-net over F₂, using net defined by OOA based on linear OOA(2⁶⁷, 86, F₂, 24, 16) (dual of [(86, 24), 1997, 17]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2⁶⁷, 87, F₂, 8, 16) (dual of [(87, 8), 629, 17]-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(2⁴⁶, 48, F₂, 8, 16) (dual of [(48, 8), 338, 17]-NRT-code), using
    - extracting embedded OOA [i] based on digital (30, 46, 48)-net over F₂, using
      - 2 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.