MinT - Information on Result #1164432

Information on Result #1164432

Linear OOA(2⁴¹, 63, F₂, 8, 11) (dual of [(63, 8), 463, 12]-NRT-code), using OOA stacking with additional row based on linear OOA(2⁴¹, 64, F₂, 5, 11) (dual of [(64, 5), 279, 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(2²⁹, 32, F₂, 5, 11) (dual of [(32, 5), 131, 12]-NRT-code), using
  - extracting embedded OOA [i] based on digital (18, 29, 32)-net over F₂, using
    - 3 times m-reduction [i] based on digital (18, 32, 32)-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.