MinT - Information on Result #1118518

Information on Result #1118518

Linear OOA(3²⁰⁶, 73, F₃, 5, 102) (dual of [(73, 5), 159, 103]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁷⁷, 36, F₃, 5, 51) (dual of [(36, 5), 103, 52]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,128P) [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(5;F,64P) 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(3¹²⁹, 37, F₃, 5, 102) (dual of [(37, 5), 56, 103]-NRT-code), using
- extracting embedded OOA [i] based on digital (27, 129, 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.

None.

None.