MinT - Information on Result #1151163

Information on Result #1151163

Linear OOA(2⁶⁵, 41, F₂, 7, 17) (dual of [(41, 7), 222, 18]-NRT-code), using OOA 2-folding based on linear OOA(2⁶⁵, 82, F₂, 4, 17) (dual of [(82, 4), 263, 18]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2⁶⁵, 83, F₂, 4, 17) (dual of [(83, 4), 267, 18]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²¹, 39, F₂, 4, 8) (dual of [(39, 4), 135, 9]-NRT-code), using
    - extracting embedded OOA [i] based on digital (13, 21, 39)-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.