MinT - Information on Result #1010252

Information on Result #1010252

Linear OOA(2²¹², 74, F₂, 3, 113) (dual of [(74, 3), 10, 114]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹⁹, 36, F₂, 3, 56) (dual of [(36, 3), 9, 57]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴³, 17, F₂, 3, 28) (dual of [(17, 3), 8, 29]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,22P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]
  2. 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, 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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