MinT - Information on Result #1150192

Information on Result #1150192

Linear OOA(2²⁷, 39, F₂, 7, 9) (dual of [(39, 7), 246, 10]-NRT-code), using OOA stacking with additional row based on linear OOA(2²⁷, 40, F₂, 4, 9) (dual of [(40, 4), 133, 10]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁹, 23, F₂, 4, 4) (dual of [(23, 4), 83, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(2⁹, 23, F₂, 3, 4) (dual of [(23, 3), 60, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (5, 9, 23)-net over F₂, using
      - linear code embedding found in a computer search [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.