MinT - Information on Result #1025814

Information on Result #1025814

Linear OOA(3¹⁹², 73, F₃, 3, 113) (dual of [(73, 3), 27, 114]-NRT-code), using juxtaposition based on

linear OOA(3⁸¹, 36, F₃, 3, 55) (dual of [(36, 3), 27, 56]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,52P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using
  - an explicitly constructive algebraic function field [i]
- algebraic-geometric NRT-code AG(3;F,26P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
linear OOA(3⁸⁴, 37, F₃, 3, 57) (dual of [(37, 3), 27, 58]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 84, 37)-net over F₃, using
  - net from sequence [i] based on digital (27, 36)-sequence over F₃, using
    - Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 26, N(F)Â =Â 36, and 1 place with degree 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36 (see above)

Mode: Constructive and linear.

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