MinT - Information on Result #1165002

Information on Result #1165002

Linear OOA(2⁴⁹, 51, F₂, 8, 15) (dual of [(51, 8), 359, 16]-NRT-code), using OOA stacking with additional row based on linear OOA(2⁴⁹, 52, F₂, 7, 15) (dual of [(52, 7), 315, 16]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹³, 16, F₂, 7, 7) (dual of [(16, 7), 99, 8]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹³, 16, F₂, 6, 7) (dual of [(16, 6), 83, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (6, 13, 16)-net over F₂, using
      - linear code embedding found in a computer search [i]
2. linear OOA(2³⁶, 36, F₂, 7, 15) (dual of [(36, 7), 216, 16]-NRT-code), using
  - extracting embedded OOA [i] based on digital (21, 36, 36)-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.