MinT - Information on Result #1159521

Information on Result #1159521

Linear OOA(2⁴¹, 53, F₂, 7, 12) (dual of [(53, 7), 330, 13]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁴, 26, F₂, 7, 6) (dual of [(26, 7), 168, 7]-NRT-code), using
- appending 1 arbitrary column [i] based on 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]
linear OOA(2²⁷, 27, F₂, 7, 12) (dual of [(27, 7), 162, 13]-NRT-code), using
- extracting embedded OOA [i] based on digital (15, 27, 27)-net over F₂, using
  - a shift-net [i]

Mode: Constructive and linear.

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