MinT - Information on Result #1093719

Information on Result #1093719

Linear OOA(3²⁴⁰, 62, F₃, 4, 196) (dual of [(62, 4), 8, 197]-NRT-code), using juxtaposition based on

linear OOA(3¹⁰⁴, 28, F₃, 4, 89) (dual of [(28, 4), 8, 90]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,22P) [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(3¹²⁸, 34, F₃, 4, 106) (dual of [(34, 4), 8, 107]-NRT-code), using
- constructionÂ X applied to AG(4;F,0P) âŠ‚ AG(4;F,22P) [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(3¹⁰⁰, 27, F₃, 4, 85) (dual of [(27, 4), 8, 86]-NRT-code), using algebraic-geometric NRT-code AG(4;F,22P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
  3. linear OOA(3²¹, 7, F₃, 4, 20) (dual of [(7, 4), 7, 21]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,7P) [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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