MinT - Information on Result #1087554

Information on Result #1087554

Linear OOA(3²²⁹, 59, F₃, 4, 188) (dual of [(59, 4), 7, 189]-NRT-code), using juxtaposition based on

linear OOA(3⁵⁷, 16, F₃, 4, 50) (dual of [(16, 4), 7, 51]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;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(3¹⁶⁵, 43, F₃, 4, 137) (dual of [(43, 4), 7, 138]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(3⁵³, 15, F₃, 4, 46) (dual of [(15, 4), 7, 47]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3⁵³, 16, F₃, 4, 46) (dual of [(16, 4), 11, 47]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,17P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16 (see above)
  2. linear OOA(3¹⁰⁵, 28, F₃, 4, 90) (dual of [(28, 4), 7, 91]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;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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