MinT - Information on Result #1179980

Information on Result #1179980

Digital (33, 44, 77)-net over F₂, using net defined by OOA based on linear OOA(2⁴⁴, 77, F₂, 15, 11) (dual of [(77, 15), 1111, 12]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2⁴⁴, 78, F₂, 5, 11) (dual of [(78, 5), 346, 12]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹², 36, F₂, 5, 5) (dual of [(36, 5), 168, 6]-NRT-code), using
    - appending kth column [i] based on linear OOA(2¹², 36, F₂, 4, 5) (dual of [(36, 4), 132, 6]-NRT-code), using
      - extracting embedded OOA [i] based on digital (7, 12, 36)-net over F₂, using
        linear code embedding found in a computer search [i]
  2. linear OOA(2³², 42, F₂, 5, 11) (dual of [(42, 5), 178, 12]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹⁰, 20, F₂, 5, 5) (dual of [(20, 5), 90, 6]-NRT-code), using
        appending kth column [i] based on linear OOA(2¹⁰, 20, F₂, 4, 5) (dual of [(20, 4), 70, 6]-NRT-code), using
        extracting embedded OOA [i] based on digital (5, 10, 20)-net over F₂, using
        linear code embedding found in a computer search [i]
      2. linear OOA(2²², 22, F₂, 5, 11) (dual of [(22, 5), 88, 12]-NRT-code), using
        extracting embedded OOA [i] based on digital (11, 22, 22)-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.