MinT - Information on Result #1026423

Information on Result #1026423

Linear OOA(3²¹³, 73, F₃, 3, 163) (dual of [(73, 3), 6, 164]-NRT-code), using juxtaposition based on

linear OOA(3²¹, 9, F₃, 3, 18) (dual of [(9, 3), 6, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²¹, 10, F₃, 3, 18) (dual of [(10, 3), 9, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,11P) [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(3¹⁸⁶, 64, F₃, 3, 144) (dual of [(64, 3), 6, 145]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3¹⁸, 8, F₃, 3, 16) (dual of [(8, 3), 6, 17]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₃ with g(F) = 2 and N(F) ≥ 8, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3¹⁶², 56, F₃, 3, 127) (dual of [(56, 3), 6, 128]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(3⁷⁸, 28, F₃, 3, 63) (dual of [(28, 3), 6, 64]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,20P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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