MinT - Information on Result #1130312

Information on Result #1130312

Linear OOA(2³⁷, 54, F₂, 6, 10) (dual of [(54, 6), 287, 11]-NRT-code), using OOA stacking with additional row based on linear OOA(2³⁷, 55, F₂, 5, 10) (dual of [(55, 5), 238, 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(2²⁶, 29, F₂, 5, 10) (dual of [(29, 5), 119, 11]-NRT-code), using
  - extracting embedded OOA [i] based on digital (16, 26, 29)-net over F₂, using
    - 3 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.