MinT - Information on Result #1115344

Information on Result #1115344

Linear OOA(2¹²⁰, 4194306, F₂, 5, 8) (dual of [(4194306, 5), 20971410, 9]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁵, 5, F₂, 5, 4) (dual of [(5, 5), 20, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2⁵, 5, F₂, 4, 4) (dual of [(5, 4), 15, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(2⁵, 5, F₂, 3, 4) (dual of [(5, 3), 10, 5]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,10P) [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(2¹¹⁵, 4194301, F₂, 5, 8) (dual of [(4194301, 5), 20971390, 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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