MinT - Information on Result #1151072

Information on Result #1151072

Linear OOA(2⁵⁶, 29, F₂, 7, 16) (dual of [(29, 7), 147, 17]-NRT-code), using OOA 2-folding based on linear OOA(2⁵⁶, 58, F₂, 4, 16) (dual of [(58, 4), 176, 17]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2⁵⁶, 59, F₂, 4, 16) (dual of [(59, 4), 180, 17]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁶, 19, F₂, 4, 8) (dual of [(19, 4), 60, 9]-NRT-code), using
    - extracting embedded OOA [i] based on digital (8, 16, 19)-net over F₂, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(2⁴⁰, 40, F₂, 4, 16) (dual of [(40, 4), 120, 17]-NRT-code), using
    - extracting embedded OOA [i] based on digital (24, 40, 40)-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.