MinT - Information on Result #1027391

Information on Result #1027391

Linear OOA(4²⁵², 86, F₄, 3, 207) (dual of [(86, 3), 6, 208]-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(4²¹⁰, 72, F₄, 3, 173) (dual of [(72, 3), 6, 174]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4²¹, 9, F₄, 3, 20) (dual of [(9, 3), 6, 21]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
      - the Hermitian function field over F₄ [i]
  2. linear OOA(4¹⁸³, 63, F₄, 3, 152) (dual of [(63, 3), 6, 153]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(4⁵⁷, 21, F₄, 3, 50) (dual of [(21, 3), 6, 51]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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