MinT - Information on Result #1175363

Information on Result #1175363

Linear OOA(2³⁷, 53, F₂, 8, 11) (dual of [(53, 8), 387, 12]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹¹, 26, F₂, 8, 5) (dual of [(26, 8), 197, 6]-NRT-code), using
- appending 3 arbitrary columns [i] based on linear OOA(2¹¹, 26, F₂, 5, 5) (dual of [(26, 5), 119, 6]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹¹, 26, F₂, 4, 5) (dual of [(26, 4), 93, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (6, 11, 26)-net over F₂, using
      - linear code embedding found in a computer search [i]
linear OOA(2²⁶, 27, F₂, 8, 11) (dual of [(27, 8), 190, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (15, 26, 27)-net over F₂, using
  - 1 times m-reduction [i] based on digital (15, 27, 27)-net over F₂, using
    - a shift-net [i]

Mode: Constructive and linear.

None.

None.