MinT - Information on Result #1130438

Information on Result #1130438

Linear OOA(2³⁹, 57, F₂, 6, 11) (dual of [(57, 6), 303, 12]-NRT-code), using OOA stacking with additional row based on linear OOA(2³⁹, 58, F₂, 5, 11) (dual of [(58, 5), 251, 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(2²⁷, 29, F₂, 5, 11) (dual of [(29, 5), 118, 12]-NRT-code), using
  - extracting embedded OOA [i] based on digital (16, 27, 29)-net over F₂, using
    - 2 times m-reduction [i] based on digital (16, 29, 29)-net over F₂, using
      - a shift-net [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.