MinT - Information on Result #1150978

Information on Result #1150978

Linear OOA(2⁶², 45, F₂, 7, 15) (dual of [(45, 7), 253, 16]-NRT-code), using OOA 2-folding based on linear OOA(2⁶², 90, F₂, 4, 15) (dual of [(90, 4), 298, 16]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹⁹, 47, F₂, 4, 7) (dual of [(47, 4), 169, 8]-NRT-code), using
  - extracting embedded OOA [i] based on digital (12, 19, 47)-net over F₂, using
    - linear code embedding found in a computer search [i]
2. linear OOA(2⁴³, 45, F₂, 4, 15) (dual of [(45, 4), 137, 16]-NRT-code), using
  - extracting embedded OOA [i] based on digital (28, 43, 45)-net over F₂, using
    - 2 times m-reduction [i] based on digital (28, 45, 45)-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.