MinT - Information on Result #1009949

Information on Result #1009949

Linear OOA(2¹⁵⁴, 56, F₂, 3, 77) (dual of [(56, 3), 14, 78]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁷¹, 28, F₂, 3, 38) (dual of [(28, 3), 13, 39]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³⁰, 14, F₂, 3, 19) (dual of [(14, 3), 12, 20]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,22P) [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(2⁴¹, 14, F₂, 3, 38) (dual of [(14, 3), 1, 39]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁴¹, 14, F₂, 3, 41) (dual of [(14, 3), 1, 42]-NRT-code), using
      - dual of repetition NRT-code with length 14 [i]
linear OOA(2⁸³, 28, F₂, 3, 77) (dual of [(28, 3), 1, 78]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁸³, 28, F₂, 3, 83) (dual of [(28, 3), 1, 84]-NRT-code), using
  - dual of repetition NRT-code with length 28 [i]

Mode: Constructive and linear.

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