MinT - Information on Result #1010241

Information on Result #1010241

Linear OOA(2²²⁴, 80, F₂, 3, 111) (dual of [(80, 3), 16, 112]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁰⁵, 40, F₂, 3, 55) (dual of [(40, 3), 15, 56]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴⁶, 20, F₂, 3, 27) (dual of [(20, 3), 14, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,32P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁵⁹, 20, F₂, 3, 55) (dual of [(20, 3), 1, 56]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁵⁹, 20, F₂, 3, 59) (dual of [(20, 3), 1, 60]-NRT-code), using
      - dual of repetition NRT-code with length 20 [i]
linear OOA(2¹¹⁹, 40, F₂, 3, 111) (dual of [(40, 3), 1, 112]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹¹⁹, 40, F₂, 3, 119) (dual of [(40, 3), 1, 120]-NRT-code), using
  - dual of repetition NRT-code with length 40 [i]

Mode: Constructive and linear.

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