MinT - Information on Result #1086811

Information on Result #1086811

Linear OOA(2¹⁸³, 48, F₂, 4, 125) (dual of [(48, 4), 9, 126]-NRT-code), using juxtaposition based on

linear OOA(2³¹, 10, F₂, 4, 25) (dual of [(10, 4), 9, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,14P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁴³, 38, F₂, 4, 99) (dual of [(38, 4), 9, 100]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³¹, 10, F₂, 4, 25) (dual of [(10, 4), 9, 26]-NRT-code) (see above)
  2. linear OOA(2¹⁰³, 28, F₂, 4, 73) (dual of [(28, 4), 9, 74]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2⁴⁷, 14, F₂, 4, 36) (dual of [(14, 4), 9, 37]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,19P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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