MinT - Information on Result #1027161

Information on Result #1027161

Linear OOA(4²⁴², 84, F₄, 3, 189) (dual of [(84, 3), 10, 190]-NRT-code), using juxtaposition based on

linear OOA(4⁶⁸, 26, F₄, 3, 58) (dual of [(26, 3), 10, 59]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,19P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4¹⁶⁴, 58, F₄, 3, 130) (dual of [(58, 3), 10, 131]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4⁶⁵, 25, F₄, 3, 55) (dual of [(25, 3), 10, 56]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(4⁶⁵, 26, F₄, 3, 55) (dual of [(26, 3), 13, 56]-NRT-code), using
      - algebraic-geometric NRT-code AG(3;F,22P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27 (see above)
  2. linear OOA(4⁸⁹, 33, F₄, 3, 74) (dual of [(33, 3), 10, 75]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,24P) [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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