MinT - Information on Result #908782

Information on Result #908782

Linear OOA(2⁴⁹, 27, F₂, 2, 28) (dual of [(27, 2), 5, 29]-NRT-code), using juxtaposition based on

linear OOA(2⁵, 5, F₂, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2³⁹, 22, F₂, 2, 23) (dual of [(22, 2), 5, 24]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(2¹⁷, 11, F₂, 2, 11) (dual of [(11, 2), 5, 12]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2⁶, 5, F₂, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5 (see above)
    2. linear OOA(2¹¹, 6, F₂, 2, 11) (dual of [(6, 2), 1, 12]-NRT-code), using
      - dual of repetition NRT-code with length 6 [i]

Mode: Constructive and linear.

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