MinT - Information on Result #1087607

Information on Result #1087607

Linear OOA(3¹⁷¹, 44, F₃, 4, 144) (dual of [(44, 4), 5, 145]-NRT-code), using juxtaposition based on

linear OOA(3¹⁹, 6, F₃, 4, 18) (dual of [(6, 4), 5, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁹, 7, F₃, 4, 18) (dual of [(7, 4), 9, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,9P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁴⁷, 38, F₃, 4, 125) (dual of [(38, 4), 5, 126]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(3⁷¹, 19, F₃, 4, 62) (dual of [(19, 4), 5, 63]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,13P) [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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