MinT - Information on Result #1025401

Information on Result #1025401

Linear OOA(2²²⁸, 79, F₂, 3, 129) (dual of [(79, 3), 9, 130]-NRT-code), using juxtaposition based on

linear OOA(2³³, 14, F₂, 3, 22) (dual of [(14, 3), 9, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;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]
linear OOA(2¹⁸⁶, 65, F₂, 3, 106) (dual of [(65, 3), 9, 107]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³³, 14, F₂, 3, 22) (dual of [(14, 3), 9, 23]-NRT-code) (see above)
  2. linear OOA(2¹⁴⁴, 51, F₂, 3, 83) (dual of [(51, 3), 9, 84]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(2⁴², 17, F₂, 3, 27) (dual of [(17, 3), 9, 28]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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