MinT - Information on Result #1027381

Information on Result #1027381

Linear OOA(4¹⁶⁸, 58, F₄, 3, 139) (dual of [(58, 3), 6, 140]-NRT-code), using juxtaposition based on

linear OOA(4³⁶, 14, F₄, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4¹²⁶, 44, F₄, 3, 105) (dual of [(44, 3), 6, 106]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4³⁶, 14, F₄, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code) (see above)
  2. linear OOA(4⁸⁴, 30, F₄, 3, 71) (dual of [(30, 3), 6, 72]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,18P) [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]

Mode: Constructive and linear.

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