MinT - Information on Result #1131255

Information on Result #1131255

Linear OOA(2⁵⁶, 29, F₂, 6, 16) (dual of [(29, 6), 118, 17]-NRT-code), using OOA 2-folding based on linear OOA(2⁵⁶, 58, F₂, 3, 16) (dual of [(58, 3), 118, 17]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2⁵⁶, 59, F₂, 3, 16) (dual of [(59, 3), 121, 17]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁶, 19, F₂, 3, 8) (dual of [(19, 3), 41, 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, 3, 16) (dual of [(40, 3), 80, 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.