MinT - Information on Result #1087629

Information on Result #1087629

Linear OOA(3²⁰⁷, 53, F₃, 4, 175) (dual of [(53, 4), 5, 176]-NRT-code), using juxtaposition based on

linear OOA(3³⁵, 10, F₃, 4, 32) (dual of [(10, 4), 5, 33]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,7P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁶⁷, 43, F₃, 4, 142) (dual of [(43, 4), 5, 143]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3²³, 7, F₃, 4, 22) (dual of [(7, 4), 5, 23]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,5P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3¹³⁹, 36, F₃, 4, 119) (dual of [(36, 4), 5, 120]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(3⁴³, 12, F₃, 4, 39) (dual of [(12, 4), 5, 40]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,8P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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