MinT - Information on Result #909097

Information on Result #909097

Linear OOA(3¹⁶⁷, 87, F₃, 2, 108) (dual of [(87, 2), 7, 109]-NRT-code), using juxtaposition based on

linear OOA(3³¹, 19, F₃, 2, 22) (dual of [(19, 2), 7, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,15P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
  - an explicitly constructive algebraic function field [i]
- algebraic-geometric NRT-code AG(2;F,5P) with degPÂ =Â 3 [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(3¹²⁹, 68, F₃, 2, 85) (dual of [(68, 2), 7, 86]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3¹⁷, 12, F₃, 2, 13) (dual of [(12, 2), 7, 14]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,10P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3¹⁰⁵, 56, F₃, 2, 71) (dual of [(56, 2), 7, 72]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3¹⁰⁵, 112, F₃, 71) (dual of [112, 7, 72]-code), using
      - codes obtained from BCH codes, concatenation and constructionÂ X [i]

Mode: Constructive and linear.

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