MinT - Information on Result #1026982

Information on Result #1026982

Linear OOA(4²⁵⁶, 90, F₄, 3, 192) (dual of [(90, 3), 14, 193]-NRT-code), using juxtaposition based on

linear OOA(4⁷⁶, 30, F₄, 3, 63) (dual of [(30, 3), 14, 64]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,26P) [i] based on function field F/F₄ with g(F) = 13 and N(F) ≥ 30, using
  - F₄ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [i]
linear OOA(4¹⁶⁶, 60, F₄, 3, 128) (dual of [(60, 3), 14, 129]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4⁶⁷, 27, F₄, 3, 57) (dual of [(27, 3), 14, 58]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(4⁸⁵, 33, F₄, 3, 70) (dual of [(33, 3), 14, 71]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,28P) [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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