MinT - Information on Result #1175353

Information on Result #1175353

Linear OOA(2¹⁸², 5242878, F₂, 8, 10) (dual of [(5242878, 8), 41942842, 11]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁴², 1048577, F₂, 8, 5) (dual of [(1048577, 8), 8388574, 6]-NRT-code), using
- appending 3 arbitrary columns [i] based on linear OOA(2⁴², 1048577, F₂, 5, 5) (dual of [(1048577, 5), 5242843, 6]-NRT-code), using
  - appending kth column [i] based on linear OOA(2⁴², 1048577, F₂, 4, 5) (dual of [(1048577, 4), 4194266, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (37, 42, 1048577)-net over F₂, using
      - nets constructed from net-embeddable BCH codes [i]
linear OOA(2¹⁴⁰, 4194301, F₂, 8, 10) (dual of [(4194301, 8), 33554268, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2¹⁴⁰, large, F₂, 3, 10), using
  - strength reduction [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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