MinT - Information on Result #1010237

Information on Result #1010237

Linear OOA(2²⁰⁹, 73, F₂, 3, 111) (dual of [(73, 3), 10, 112]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹⁸, 36, F₂, 3, 55) (dual of [(36, 3), 10, 56]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴², 17, F₂, 3, 27) (dual of [(17, 3), 9, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁵⁶, 19, F₂, 3, 55) (dual of [(19, 3), 1, 56]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁵⁶, 19, F₂, 3, 56) (dual of [(19, 3), 1, 57]-NRT-code), using
      - dual of repetition NRT-code with length 19 [i]
linear OOA(2¹¹¹, 37, F₂, 3, 111) (dual of [(37, 3), 0, 112]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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