MinT - Information on Result #1165139

Information on Result #1165139

Linear OOA(2⁶⁷, 43, F₂, 8, 16) (dual of [(43, 8), 277, 17]-NRT-code), using OOA 2-folding based on linear OOA(2⁶⁷, 86, F₂, 4, 16) (dual of [(86, 4), 277, 17]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2⁶⁷, 87, F₂, 4, 16) (dual of [(87, 4), 281, 17]-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(2⁴⁶, 48, F₂, 4, 16) (dual of [(48, 4), 146, 17]-NRT-code), using
    - extracting embedded OOA [i] based on digital (30, 46, 48)-net over F₂, using
      - 2 times m-reduction [i] based on digital (30, 48, 48)-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.