MinT - Information on Result #1143175

Information on Result #1143175

Linear OOA(2¹²⁸, 4194381, F₂, 6, 8) (dual of [(4194381, 6), 25166158, 9]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹³, 80, F₂, 6, 4) (dual of [(80, 6), 467, 5]-NRT-code), using
- appending 2 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(2¹¹⁵, 4194301, F₂, 6, 8) (dual of [(4194301, 6), 25165691, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2¹¹⁵, large, F₂, 2, 8), using
  - OOAs constructed from BCH codes [i]

Mode: Constructive and linear.

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