MinT - Information on Result #1027441

Information on Result #1027441

Linear OOA(4⁹¹, 32, F₄, 3, 78) (dual of [(32, 3), 5, 79]-NRT-code), using juxtaposition based on

linear OOA(4²², 9, F₄, 3, 21) (dual of [(9, 3), 5, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,5P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
  - the Hermitian function field over F₄ [i]
linear OOA(4⁶⁴, 23, F₄, 3, 56) (dual of [(23, 3), 5, 57]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4²², 9, F₄, 3, 21) (dual of [(9, 3), 5, 22]-NRT-code) (see above)
  2. linear OOA(4³⁷, 14, F₄, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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