MinT - Information on Result #1164866

Information on Result #1164866

Linear OOA(2⁴⁹, 63, F₂, 8, 14) (dual of [(63, 8), 455, 15]-NRT-code), using OOA stacking with additional row based on linear OOA(2⁴⁹, 64, F₂, 7, 14) (dual of [(64, 7), 399, 15]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹⁷, 34, F₂, 7, 7) (dual of [(34, 7), 221, 8]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹⁷, 34, F₂, 6, 7) (dual of [(34, 6), 187, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (10, 17, 34)-net over F₂, using
      - linear code embedding found in a computer search [i]
2. linear OOA(2³², 32, F₂, 7, 14) (dual of [(32, 7), 192, 15]-NRT-code), using
  - extracting embedded OOA [i] based on digital (18, 32, 32)-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.