MinT - Information on Result #1010173

Information on Result #1010173

Linear OOA(2¹⁹³, 67, F₂, 3, 103) (dual of [(67, 3), 8, 104]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁸⁹, 32, F₂, 3, 51) (dual of [(32, 3), 7, 52]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³⁸, 15, F₂, 3, 25) (dual of [(15, 3), 7, 26]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,19P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁵¹, 17, F₂, 3, 51) (dual of [(17, 3), 0, 52]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(2¹⁰⁴, 35, F₂, 3, 103) (dual of [(35, 3), 1, 104]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹⁰⁴, 35, F₂, 3, 104) (dual of [(35, 3), 1, 105]-NRT-code), using
  - dual of repetition NRT-code with length 35 [i]

Mode: Constructive and linear.

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