MinT - Information on Result #1051559

Information on Result #1051559

Linear OOA(2⁴⁷, 27, F₂, 4, 14) (dual of [(27, 4), 61, 15]-NRT-code), using OOA 2-folding based on linear OOA(2⁴⁷, 54, F₂, 2, 14) (dual of [(54, 2), 61, 15]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2⁴⁷, 55, F₂, 2, 14) (dual of [(55, 2), 63, 15]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁵, 23, F₂, 2, 7) (dual of [(23, 2), 31, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (8, 15, 23)-net over F₂, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(2³², 32, F₂, 2, 14) (dual of [(32, 2), 32, 15]-NRT-code), using
    - extracting embedded OOA [i] based on digital (18, 32, 32)-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.