MinT - Information on Result #1130186

Information on Result #1130186

Linear OOA(2²⁶, 36, F₂, 6, 9) (dual of [(36, 6), 190, 10]-NRT-code), using OOA stacking with additional row based on linear OOA(2²⁶, 37, F₂, 4, 9) (dual of [(37, 4), 122, 10]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁸, 17, F₂, 4, 4) (dual of [(17, 4), 60, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(2⁸, 17, F₂, 3, 4) (dual of [(17, 3), 43, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (4, 8, 17)-net over F₂, using
      - nets constructed from net-embeddable BCH codes [i]
2. linear OOA(2¹⁸, 20, F₂, 4, 9) (dual of [(20, 4), 62, 10]-NRT-code), using
  - extracting embedded OOA [i] based on digital (9, 18, 20)-net over F₂, using
    - linear code embedding found in a computer search [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.