MinT - Information on Result #1143284

Information on Result #1143284

Linear OOA(2¹⁴⁵, 4194306, F₂, 6, 10) (dual of [(4194306, 6), 25165691, 11]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶, 5, F₂, 6, 5) (dual of [(5, 6), 24, 6]-NRT-code), using
- appending 1 arbitrary column [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(2¹³⁹, 4194301, F₂, 6, 10) (dual of [(4194301, 6), 25165667, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2¹³⁹, 8388602, F₂, 3, 10) (dual of [(8388602, 3), 25165667, 11]-NRT-code), using
  - 1 step truncation [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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