MinT - Information on Result #1095246

Information on Result #1095246

Linear OOA(2⁴¹, 25, F₂, 5, 13) (dual of [(25, 5), 84, 14]-NRT-code), using OOA 2-folding based on linear OOA(2⁴¹, 50, F₂, 3, 13) (dual of [(50, 3), 109, 14]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹², 21, F₂, 3, 6) (dual of [(21, 3), 51, 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, 3, 13) (dual of [(29, 3), 58, 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.