MinT - Information on Result #887279

Information on Result #887279

Linear OOA(2⁴⁶, 50, F₂, 2, 14) (dual of [(50, 2), 54, 15]-NRT-code), using extracting embedded OOA based on digital (32, 46, 50)-net over F₂, using

s-reduction based on digital (32, 46, 51)-net over F₂, using
- net defined by OOA [i] based on linear OOA(2⁴⁶, 51, F₂, 21, 14) (dual of [(51, 21), 1025, 15]-NRT-code), using
  - OOA stacking with additional row [i] based on linear OOA(2⁴⁶, 52, F₂, 7, 14) (dual of [(52, 7), 318, 15]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹⁴, 20, F₂, 7, 7) (dual of [(20, 7), 126, 8]-NRT-code), using
        appending kth column [i] based on linear OOA(2¹⁴, 20, F₂, 6, 7) (dual of [(20, 6), 106, 8]-NRT-code), using
        extracting embedded OOA [i] based on digital (7, 14, 20)-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.