MinT - Information on Result #1026277

Information on Result #1026277

Linear OOA(3¹⁷⁷, 62, F₃, 3, 130) (dual of [(62, 3), 9, 131]-NRT-code), using juxtaposition based on

linear OOA(3⁴⁵, 18, F₃, 3, 36) (dual of [(18, 3), 9, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁴⁵, 19, F₃, 3, 36) (dual of [(19, 3), 12, 37]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,20P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3¹²³, 44, F₃, 3, 93) (dual of [(44, 3), 9, 94]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3³⁹, 16, F₃, 3, 32) (dual of [(16, 3), 9, 33]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3⁷⁵, 28, F₃, 3, 60) (dual of [(28, 3), 9, 61]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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