MinT - Information on Result #1130851

Information on Result #1130851

Linear OOA(2⁴³, 27, F₂, 6, 13) (dual of [(27, 6), 119, 14]-NRT-code), using OOA 2-folding based on linear OOA(2⁴³, 54, F₂, 3, 13) (dual of [(54, 3), 119, 14]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2⁴³, 55, F₂, 3, 13) (dual of [(55, 3), 122, 14]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁴, 26, F₂, 3, 6) (dual of [(26, 3), 64, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (8, 14, 26)-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.