MinT - Information on Result #1139783

Information on Result #1139783

Linear OOA(2³⁹, 44, F₂, 6, 12) (dual of [(44, 6), 225, 13]-NRT-code), using extracting embedded OOA based on digital (27, 39, 44)-net over F₂, using

s-reduction based on digital (27, 39, 49)-net over F₂, using
- net defined by OOA [i] based on linear OOA(2³⁹, 49, F₂, 18, 12) (dual of [(49, 18), 843, 13]-NRT-code), using
  - OOA stacking with additional row [i] based on linear OOA(2³⁹, 50, F₂, 6, 12) (dual of [(50, 6), 261, 13]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(2¹⁴, 26, F₂, 6, 6) (dual of [(26, 6), 142, 7]-NRT-code), using
        appending kth column [i] based on linear OOA(2¹⁴, 26, F₂, 5, 6) (dual of [(26, 5), 116, 7]-NRT-code), using
        extracting embedded OOA [i] based on digital (8, 14, 26)-net over F₂, using
        linear code embedding found in a computer search [i]
      2. linear OOA(2²⁵, 25, F₂, 6, 12) (dual of [(25, 6), 125, 13]-NRT-code), using
        extracting embedded OOA [i] based on digital (13, 25, 25)-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.