MinT - Information on Result #1095462

Information on Result #1095462

Linear OOA(2⁵¹, 29, F₂, 5, 15) (dual of [(29, 5), 94, 16]-NRT-code), using OOA 2-folding based on linear OOA(2⁵¹, 58, F₂, 3, 15) (dual of [(58, 3), 123, 16]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2⁵¹, 59, F₂, 3, 15) (dual of [(59, 3), 126, 16]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁵, 23, F₂, 3, 7) (dual of [(23, 3), 54, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (8, 15, 23)-net over F₂, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(2³⁶, 36, F₂, 3, 15) (dual of [(36, 3), 72, 16]-NRT-code), using
    - extracting embedded OOA [i] based on digital (21, 36, 36)-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.