MinT - Information on Result #1080514

Information on Result #1080514

Linear OOA(2²⁰⁵, 62, F₂, 4, 89) (dual of [(62, 4), 43, 90]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁸³, 33, F₂, 4, 44) (dual of [(33, 4), 49, 45]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,87P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹²², 31, F₂, 4, 89) (dual of [(31, 4), 2, 90]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹²², 32, F₂, 4, 89) (dual of [(32, 4), 6, 90]-NRT-code), using
  - strength reduction [i] based on linear OOA(2¹²², 32, F₂, 4, 91) (dual of [(32, 4), 6, 92]-NRT-code), using
    - repeating each code word 4 times [i] based on linear OOA(2²⁶, 8, F₂, 4, 22) (dual of [(8, 4), 6, 23]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,9P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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