MinT - Information on Result #1027076

Information on Result #1027076

Linear OOA(4²⁵⁸, 90, F₄, 3, 198) (dual of [(90, 3), 12, 199]-NRT-code), using juxtaposition based on

linear OOA(4⁷⁸, 30, F₄, 3, 65) (dual of [(30, 3), 12, 66]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,24P) [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(4¹⁶⁸, 60, F₄, 3, 132) (dual of [(60, 3), 12, 133]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4⁶⁹, 27, F₄, 3, 59) (dual of [(27, 3), 12, 60]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,21P) [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(4⁸⁷, 33, F₄, 3, 72) (dual of [(33, 3), 12, 73]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,26P) [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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