MinT - Information on Result #1087420

Information on Result #1087420

Linear OOA(3²³⁷, 62, F₃, 4, 186) (dual of [(62, 4), 11, 187]-NRT-code), using juxtaposition based on

linear OOA(3⁶¹, 18, F₃, 4, 52) (dual of [(18, 4), 11, 53]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶¹, 19, F₃, 4, 52) (dual of [(19, 4), 15, 53]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,23P) [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(3¹⁶⁵, 44, F₃, 4, 133) (dual of [(44, 4), 11, 134]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3⁵³, 16, F₃, 4, 46) (dual of [(16, 4), 11, 47]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,17P) [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(3¹⁰¹, 28, F₃, 4, 86) (dual of [(28, 4), 11, 87]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,25P) [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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