MinT - Information on Result #1010044

Information on Result #1010044

Linear OOA(2¹⁶¹, 55, F₂, 3, 89) (dual of [(55, 3), 4, 90]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁷², 25, F₂, 3, 44) (dual of [(25, 3), 3, 45]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁸, 10, F₂, 3, 22) (dual of [(10, 3), 2, 23]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
      - an explicitly constructive algebraic function field [i]
  2. 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, 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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