MinT - Information on Result #1150733

Information on Result #1150733

Linear OOA(2⁵⁹, 99, F₂, 7, 13) (dual of [(99, 7), 634, 14]-NRT-code), using OOA stacking with additional row based on linear OOA(2⁵⁹, 100, F₂, 6, 13) (dual of [(100, 6), 541, 14]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹⁸, 64, F₂, 6, 6) (dual of [(64, 6), 366, 7]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹⁸, 64, F₂, 5, 6) (dual of [(64, 5), 302, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (12, 18, 64)-net over F₂, using
      - linear code embedding found in a computer search [i]
2. linear OOA(2⁴¹, 50, F₂, 6, 13) (dual of [(50, 6), 259, 14]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2¹², 21, F₂, 6, 6) (dual of [(21, 6), 114, 7]-NRT-code), using
      - appending kth column [i] based on linear OOA(2¹², 21, F₂, 5, 6) (dual of [(21, 5), 93, 7]-NRT-code), using
        extracting embedded OOA [i] based on digital (6, 12, 21)-net over F₂, using
        linear code embedding found in a computer search [i]
    2. linear OOA(2²⁹, 29, F₂, 6, 13) (dual of [(29, 6), 145, 14]-NRT-code), using
      - extracting embedded OOA [i] based on digital (16, 29, 29)-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.