MinT - Information on Result #1087619

Information on Result #1087619

Linear OOA(3²³⁹, 61, F₃, 4, 201) (dual of [(61, 4), 5, 202]-NRT-code), using juxtaposition based on

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]
linear OOA(3²¹¹, 54, F₃, 4, 178) (dual of [(54, 4), 5, 179]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3¹⁹, 6, F₃, 4, 18) (dual of [(6, 4), 5, 19]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3¹⁹, 7, F₃, 4, 18) (dual of [(7, 4), 9, 19]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,9P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7 (see above)
  2. linear OOA(3¹⁸⁷, 48, F₃, 4, 159) (dual of [(48, 4), 5, 160]-NRT-code), using
    - repeating each code word 4 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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