MinT - Information on Result #1080681

Information on Result #1080681

Linear OOA(2²⁰⁴, 56, F₂, 4, 110) (dual of [(56, 4), 20, 111]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹³, 28, F₂, 4, 55) (dual of [(28, 4), 19, 56]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³⁸, 14, F₂, 4, 27) (dual of [(14, 4), 18, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,28P) [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(2⁵⁵, 14, F₂, 4, 55) (dual of [(14, 4), 1, 56]-NRT-code), using
    - dual of repetition NRT-code with length 14 [i]
linear OOA(2¹¹¹, 28, F₂, 4, 110) (dual of [(28, 4), 1, 111]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹¹¹, 28, F₂, 4, 111) (dual of [(28, 4), 1, 112]-NRT-code), using
  - dual of repetition NRT-code with length 28 [i]

Mode: Constructive and linear.

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