MinT - Information on Result #1131399

Information on Result #1131399

Linear OOA(2⁶⁴, 39, F₂, 6, 17) (dual of [(39, 6), 170, 18]-NRT-code), using OOA 2-folding based on linear OOA(2⁶⁴, 78, F₂, 3, 17) (dual of [(78, 3), 170, 18]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2⁶⁴, 79, F₂, 3, 17) (dual of [(79, 3), 173, 18]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁰, 35, F₂, 3, 8) (dual of [(35, 3), 85, 9]-NRT-code), using
    - extracting embedded OOA [i] based on digital (12, 20, 35)-net over F₂, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(2⁴⁴, 44, F₂, 3, 17) (dual of [(44, 3), 88, 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.