MinT - Information on Result #1025515

Information on Result #1025515

Linear OOA(2¹⁸⁵, 64, F₂, 3, 113) (dual of [(64, 3), 7, 114]-NRT-code), using juxtaposition based on

linear OOA(2¹⁴, 7, F₂, 3, 11) (dual of [(7, 3), 7, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,9P) [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, 57, F₂, 3, 101) (dual of [(57, 3), 7, 102]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁴, 7, F₂, 3, 11) (dual of [(7, 3), 7, 12]-NRT-code) (see above)
  2. linear OOA(2¹⁴³, 50, F₂, 3, 89) (dual of [(50, 3), 7, 90]-NRT-code), using
    - repeating each code word 5 times [i] based on linear OOA(2²³, 10, F₂, 3, 17) (dual of [(10, 3), 7, 18]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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None.