MinT - Information on Result #1175399

Information on Result #1175399

Linear OOA(2¹⁶¹, 4194843, F₂, 8, 11) (dual of [(4194843, 8), 33558583, 12]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2²¹, 542, F₂, 8, 5) (dual of [(542, 8), 4315, 6]-NRT-code), using
- appending 3 arbitrary columns [i] based on linear OOA(2²¹, 542, F₂, 5, 5) (dual of [(542, 5), 2689, 6]-NRT-code), using
  - appending kth column [i] based on linear OOA(2²¹, 542, F₂, 4, 5) (dual of [(542, 4), 2147, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (16, 21, 542)-net over F₂, using
      - linear code embedding found in a computer search [i]
linear OOA(2¹⁴⁰, 4194301, F₂, 8, 11) (dual of [(4194301, 8), 33554268, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2¹⁴⁰, large, F₂, 3, 11), using
  - OOAs constructed from BCH codes [i]

Mode: Constructive and linear.

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