MinT - Information on Result #1026388

Information on Result #1026388

Linear OOA(3¹⁷⁰, 59, F₃, 3, 129) (dual of [(59, 3), 7, 130]-NRT-code), using juxtaposition based on

linear OOA(3⁴¹, 16, F₃, 3, 34) (dual of [(16, 3), 7, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹²², 43, F₃, 3, 94) (dual of [(43, 3), 7, 95]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3³⁸, 15, F₃, 3, 31) (dual of [(15, 3), 7, 32]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3³⁸, 16, F₃, 3, 31) (dual of [(16, 3), 10, 32]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,16P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16 (see above)
  2. linear OOA(3⁷⁷, 28, F₃, 3, 62) (dual of [(28, 3), 7, 63]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,21P) [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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