MinT - Information on Result #1010201

Information on Result #1010201

Linear OOA(2¹⁹⁷, 68, F₂, 3, 106) (dual of [(68, 3), 7, 107]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹⁰, 32, F₂, 3, 53) (dual of [(32, 3), 6, 54]-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, 53) (dual of [(18, 3), 1, 54]-NRT-code), using
    - dual of repetition NRT-code with length 18 [i]
linear OOA(2¹⁰⁷, 36, F₂, 3, 106) (dual of [(36, 3), 1, 107]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹⁰⁷, 36, F₂, 3, 107) (dual of [(36, 3), 1, 108]-NRT-code), using
  - dual of repetition NRT-code with length 36 [i]

Mode: Constructive and linear.

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