MinT - Information on Result #1049517

Information on Result #1049517

Linear OOA(3¹⁷⁰, 62, F₃, 3, 115) (dual of [(62, 3), 16, 116]-NRT-code), using juxtaposition based on

linear OOA(3⁶⁸, 28, F₃, 3, 53) (dual of [(28, 3), 16, 54]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,30P) [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(3⁸⁶, 34, F₃, 3, 61) (dual of [(34, 3), 16, 62]-NRT-code), using
- constructionÂ X applied to AG(3;F,31P) âŠ‚ AG(3;F,36P) [i] based on
  1. linear OOA(3⁸², 31, F₃, 3, 61) (dual of [(31, 3), 11, 62]-NRT-code), using algebraic-geometric NRT-code AG(3;F,31P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, using
    - an explicitly constructive algebraic function field [i]
  2. linear OOA(3⁷⁷, 31, F₃, 3, 56) (dual of [(31, 3), 16, 57]-NRT-code), using algebraic-geometric NRT-code AG(3;F,36P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32 (see above)
  3. linear OOA(3⁴, 3, F₃, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;5,3) [i]

Mode: Constructive and linear.

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