MinT - Information on Result #1165012

Information on Result #1165012

Linear OOA(2⁵⁹, 82, F₂, 8, 15) (dual of [(82, 8), 597, 16]-NRT-code), using OOA stacking with additional row based on linear OOA(2⁵⁹, 83, F₂, 7, 15) (dual of [(83, 7), 522, 16]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹⁸, 41, F₂, 7, 7) (dual of [(41, 7), 269, 8]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹⁸, 41, F₂, 6, 7) (dual of [(41, 6), 228, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (11, 18, 41)-net over F₂, using
      - linear code embedding found in a computer search [i]
2. linear OOA(2⁴¹, 42, F₂, 7, 15) (dual of [(42, 7), 253, 16]-NRT-code), using
  - extracting embedded OOA [i] based on digital (26, 41, 42)-net over F₂, using
    - 1 times m-reduction [i] based on digital (26, 42, 42)-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.