MinT - Information on Result #1109839

Information on Result #1109839

Linear OOA(2⁴⁷, 51, F₂, 5, 14) (dual of [(51, 5), 208, 15]-NRT-code), using extracting embedded OOA based on digital (33, 47, 51)-net over F₂, using

s-reduction based on digital (33, 47, 54)-net over F₂, using
- net defined by OOA [i] based on linear OOA(2⁴⁷, 54, F₂, 21, 14) (dual of [(54, 21), 1087, 15]-NRT-code), using
  - OOA stacking with additional row [i] based on linear OOA(2⁴⁷, 55, F₂, 7, 14) (dual of [(55, 7), 338, 15]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹⁵, 23, F₂, 7, 7) (dual of [(23, 7), 146, 8]-NRT-code), using
        appending kth column [i] based on linear OOA(2¹⁵, 23, F₂, 6, 7) (dual of [(23, 6), 123, 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, 7, 14) (dual of [(32, 7), 192, 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.