MinT - Information on Result #1159397

Information on Result #1159397

Linear OOA(2¹²⁹, 4194381, F₂, 7, 9) (dual of [(4194381, 7), 29360538, 10]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹³, 80, F₂, 7, 4) (dual of [(80, 7), 547, 5]-NRT-code), using
- appending 3 arbitrary columns [i] based on linear OOA(2¹³, 80, F₂, 4, 4) (dual of [(80, 4), 307, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(2¹³, 80, F₂, 3, 4) (dual of [(80, 3), 227, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (9, 13, 80)-net over F₂, using
      - linear code embedding found in a computer search [i]
linear OOA(2¹¹⁶, 4194301, F₂, 7, 9) (dual of [(4194301, 7), 29359991, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2¹¹⁶, large, F₂, 2, 9), using
  - OOAs constructed from BCH codes [i]

Mode: Constructive and linear.

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