MinT - Information on Result #1026422

Information on Result #1026422

Linear OOA(3¹⁹², 66, F₃, 3, 147) (dual of [(66, 3), 6, 148]-NRT-code), using juxtaposition based on

linear OOA(3²¹, 9, F₃, 3, 18) (dual of [(9, 3), 6, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²¹, 10, F₃, 3, 18) (dual of [(10, 3), 9, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁶⁵, 57, F₃, 3, 128) (dual of [(57, 3), 6, 129]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(3⁵¹, 19, F₃, 3, 42) (dual of [(19, 3), 6, 43]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,14P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
    - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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