MinT - Information on Result #1093716

Information on Result #1093716

Linear OOA(3²³⁷, 62, F₃, 4, 187) (dual of [(62, 4), 11, 188]-NRT-code), using juxtaposition based on

linear OOA(3¹⁰¹, 28, F₃, 4, 86) (dual of [(28, 4), 11, 87]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,25P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹²⁵, 34, F₃, 4, 100) (dual of [(34, 4), 11, 101]-NRT-code), using
- constructionÂ X applied to AG(4;F,0P) âŠ‚ AG(4;F,25P) [i] based on
  1. linear OOA(3¹⁰⁷, 27, F₃, 4, 107) (dual of [(27, 4), 1, 108]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
  2. linear OOA(3⁹⁷, 27, F₃, 4, 82) (dual of [(27, 4), 11, 83]-NRT-code), using algebraic-geometric NRT-code AG(4;F,25P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
  3. linear OOA(3¹⁸, 7, F₃, 4, 17) (dual of [(7, 4), 10, 18]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,10P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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