MinT - Information on Result #1175384

Information on Result #1175384

Linear OOA(2¹⁴⁶, 4194306, F₂, 8, 11) (dual of [(4194306, 8), 33554302, 12]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶, 5, F₂, 8, 5) (dual of [(5, 8), 34, 6]-NRT-code), using
- appending 3 arbitrary columns [i] based on linear OOA(2⁶, 5, F₂, 5, 5) (dual of [(5, 5), 19, 6]-NRT-code), using
  - appending kth column [i] based on linear OOA(2⁶, 5, F₂, 4, 5) (dual of [(5, 4), 14, 6]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,14P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
      - an explicitly constructive algebraic function field [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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