MinT - Information on Result #1026332

Information on Result #1026332

Linear OOA(3¹⁷⁸, 62, F₃, 3, 133) (dual of [(62, 3), 8, 134]-NRT-code), using juxtaposition based on

linear OOA(3⁴⁶, 18, F₃, 3, 37) (dual of [(18, 3), 8, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁴⁶, 19, F₃, 3, 37) (dual of [(19, 3), 11, 38]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,19P) [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(3¹²⁴, 44, F₃, 3, 95) (dual of [(44, 3), 8, 96]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3⁴⁰, 16, F₃, 3, 33) (dual of [(16, 3), 8, 34]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,14P) [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(3⁷⁶, 28, F₃, 3, 61) (dual of [(28, 3), 8, 62]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,22P) [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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None.