MinT - Information on Result #1165005

Information on Result #1165005

Linear OOA(2⁵², 63, F₂, 8, 15) (dual of [(63, 8), 452, 16]-NRT-code), using OOA stacking with additional row based on linear OOA(2⁵², 64, F₂, 7, 15) (dual of [(64, 7), 396, 16]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹⁶, 28, F₂, 7, 7) (dual of [(28, 7), 180, 8]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹⁶, 28, F₂, 6, 7) (dual of [(28, 6), 152, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (9, 16, 28)-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.