MinT - Information on Result #1009911

Information on Result #1009911

Linear OOA(2¹³⁹, 50, F₂, 3, 74) (dual of [(50, 3), 11, 75]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶⁵, 25, F₂, 3, 37) (dual of [(25, 3), 10, 38]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁷, 12, F₂, 3, 18) (dual of [(12, 3), 9, 19]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,17P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2³⁸, 13, F₂, 3, 37) (dual of [(13, 3), 1, 38]-NRT-code), using
    - strength reduction [i] based on linear OOA(2³⁸, 13, F₂, 3, 38) (dual of [(13, 3), 1, 39]-NRT-code), using
      - dual of repetition NRT-code with length 13 [i]
linear OOA(2⁷⁴, 25, F₂, 3, 74) (dual of [(25, 3), 1, 75]-NRT-code), using
- dual of repetition NRT-code with length 25 [i]

Mode: Constructive and linear.

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