MinT - Information on Result #1120882

Information on Result #1120882

Linear OOA(2¹⁹⁹, 41, F₂, 5, 158) (dual of [(41, 5), 6, 159]-NRT-code), using juxtaposition based on

linear OOA(2²⁹, 7, F₂, 5, 26) (dual of [(7, 5), 6, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,8P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁶⁴, 34, F₂, 5, 131) (dual of [(34, 5), 6, 132]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²⁹, 7, F₂, 5, 26) (dual of [(7, 5), 6, 27]-NRT-code) (see above)
  2. linear OOA(2¹²⁹, 27, F₂, 5, 104) (dual of [(27, 5), 6, 105]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(2³⁹, 9, F₂, 5, 34) (dual of [(9, 5), 6, 35]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;F,10P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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