MinT - Information on Result #1010058

Information on Result #1010058

Linear OOA(2²¹⁰, 76, F₂, 3, 90) (dual of [(76, 3), 18, 91]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹⁷, 38, F₂, 3, 45) (dual of [(38, 3), 17, 46]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴¹, 20, F₂, 3, 22) (dual of [(20, 3), 19, 23]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,37P) [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(2⁵⁶, 19, F₂, 3, 45) (dual of [(19, 3), 1, 46]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁵⁶, 19, F₂, 3, 56) (dual of [(19, 3), 1, 57]-NRT-code), using
      - dual of repetition NRT-code with length 19 [i]
linear OOA(2¹¹³, 38, F₂, 3, 90) (dual of [(38, 3), 1, 91]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹¹³, 38, F₂, 3, 113) (dual of [(38, 3), 1, 114]-NRT-code), using
  - dual of repetition NRT-code with length 38 [i]

Mode: Constructive and linear.

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