MinT - Information on Result #1179764

Information on Result #1179764

Digital (26, 36, 52)-net over F₂, using net defined by OOA based on linear OOA(2³⁶, 52, F₂, 15, 10) (dual of [(52, 15), 744, 11]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2³⁶, 53, F₂, 5, 10) (dual of [(53, 5), 229, 11]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹¹, 26, F₂, 5, 5) (dual of [(26, 5), 119, 6]-NRT-code), using
    - appending kth column [i] based on linear OOA(2¹¹, 26, F₂, 4, 5) (dual of [(26, 4), 93, 6]-NRT-code), using
      - extracting embedded OOA [i] based on digital (6, 11, 26)-net over F₂, using
        linear code embedding found in a computer search [i]
  2. linear OOA(2²⁵, 27, F₂, 5, 10) (dual of [(27, 5), 110, 11]-NRT-code), using
    - extracting embedded OOA [i] based on digital (15, 25, 27)-net over F₂, using
      - 2 times m-reduction [i] based on digital (15, 27, 27)-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.