MinT - Information on Result #1009980

Information on Result #1009980

Linear OOA(2¹⁶⁶, 60, F₂, 3, 80) (dual of [(60, 3), 14, 81]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁷⁷, 30, F₂, 3, 40) (dual of [(30, 3), 13, 41]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³³, 15, F₂, 3, 20) (dual of [(15, 3), 12, 21]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,24P) [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(2⁴⁴, 15, F₂, 3, 40) (dual of [(15, 3), 1, 41]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁴⁴, 15, F₂, 3, 44) (dual of [(15, 3), 1, 45]-NRT-code), using
      - dual of repetition NRT-code with length 15 [i]
linear OOA(2⁸⁹, 30, F₂, 3, 80) (dual of [(30, 3), 1, 81]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁸⁹, 30, F₂, 3, 89) (dual of [(30, 3), 1, 90]-NRT-code), using
  - dual of repetition NRT-code with length 30 [i]

Mode: Constructive and linear.

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