MinT - Information on Result #1010191

Information on Result #1010191

Linear OOA(2¹⁹⁵, 67, F₂, 3, 105) (dual of [(67, 3), 6, 106]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹⁰, 32, F₂, 3, 52) (dual of [(32, 3), 6, 53]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³⁷, 14, F₂, 3, 26) (dual of [(14, 3), 5, 27]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁵³, 18, F₂, 3, 52) (dual of [(18, 3), 1, 53]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁵³, 18, F₂, 3, 53) (dual of [(18, 3), 1, 54]-NRT-code), using
      - dual of repetition NRT-code with length 18 [i]
linear OOA(2¹⁰⁵, 35, F₂, 3, 105) (dual of [(35, 3), 0, 106]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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