MinT - Information on Result #1165265

Information on Result #1165265

Linear OOA(2⁵⁸, 29, F₂, 8, 17) (dual of [(29, 8), 174, 18]-NRT-code), using OOA 2-folding based on linear OOA(2⁵⁸, 58, F₂, 4, 17) (dual of [(58, 4), 174, 18]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2⁵⁸, 59, F₂, 4, 17) (dual of [(59, 4), 178, 18]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁴, 15, F₂, 4, 8) (dual of [(15, 4), 46, 9]-NRT-code), using
    - extracting embedded OOA [i] based on digital (6, 14, 15)-net over F₂, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(2⁴⁴, 44, F₂, 4, 17) (dual of [(44, 4), 132, 18]-NRT-code), using
    - extracting embedded OOA [i] based on digital (27, 44, 44)-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.