MinT - Information on Result #1165016

Information on Result #1165016

Linear OOA(2⁶³, 91, F₂, 8, 15) (dual of [(91, 8), 665, 16]-NRT-code), using OOA stacking with additional row based on linear OOA(2⁶³, 92, F₂, 7, 15) (dual of [(92, 7), 581, 16]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹⁹, 47, F₂, 7, 7) (dual of [(47, 7), 310, 8]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹⁹, 47, F₂, 6, 7) (dual of [(47, 6), 263, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (12, 19, 47)-net over F₂, using
      - linear code embedding found in a computer search [i]
2. linear OOA(2⁴⁴, 46, F₂, 7, 15) (dual of [(46, 7), 278, 16]-NRT-code), using
  - extracting embedded OOA [i] based on digital (29, 44, 46)-net over F₂, using
    - 2 times m-reduction [i] based on digital (29, 46, 46)-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.