MinT - Information on Result #1081642

Information on Result #1081642

Linear OOA(3²²⁷, 168, F₃, 4, 73) (dual of [(168, 4), 445, 74]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁴⁷, 20, F₃, 4, 36) (dual of [(20, 4), 33, 37]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 47, 20)-net over F₃, using
  - net from sequence [i] based on digital (11, 19)-sequence over F₃, using
    - Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 9, N(F)Â =Â 19, and 1 place with degree 3 [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using an explicitly constructive algebraic function field [i]
linear OOA(3¹⁸⁰, 148, F₃, 4, 73) (dual of [(148, 4), 412, 74]-NRT-code), using
- extracting embedded OOA [i] based on digital (107, 180, 148)-net over F₃, using
  - trace code for nets [i] based on digital (17, 90, 74)-net over F₉, using
    - net from sequence [i] based on digital (17, 73)-sequence over F₉, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
        a function field by GarcÃa and Quoos [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3²²⁸, 168, F₃, 4, 73) (dual of [(168, 4), 444, 74]-NRT-code)	[i]		OOA Duplication