MinT - Information on Result #1009665

Information on Result #1009665

Linear OOA(2⁹⁶, 38, F₂, 3, 43) (dual of [(38, 3), 18, 44]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁴⁰, 20, F₂, 3, 21) (dual of [(20, 3), 20, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,38P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2⁵⁶, 19, F₂, 3, 43) (dual of [(19, 3), 1, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2⁵⁶, 20, F₂, 3, 43) (dual of [(20, 3), 4, 44]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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