MinT - Information on Result #1010313

Information on Result #1010313

Linear OOA(2²³⁴, 82, F₂, 3, 123) (dual of [(82, 3), 12, 124]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹¹¹, 41, F₂, 3, 61) (dual of [(41, 3), 12, 62]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴⁹, 20, F₂, 3, 30) (dual of [(20, 3), 11, 31]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,29P) [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(2⁶², 21, F₂, 3, 61) (dual of [(21, 3), 1, 62]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁶², 21, F₂, 3, 62) (dual of [(21, 3), 1, 63]-NRT-code), using
      - dual of repetition NRT-code with length 21 [i]
linear OOA(2¹²³, 41, F₂, 3, 123) (dual of [(41, 3), 0, 124]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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