MinT - Information on Result #1118251

Information on Result #1118251

Linear OOA(3²⁴⁶, 176, F₃, 5, 79) (dual of [(176, 5), 634, 80]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁵⁴, 28, F₃, 5, 39) (dual of [(28, 5), 86, 40]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,100P) [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(3¹⁹², 148, F₃, 5, 79) (dual of [(148, 5), 548, 80]-NRT-code), using
- extracting embedded OOA [i] based on digital (113, 192, 148)-net over F₃, using
  - trace code for nets [i] based on digital (17, 96, 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(3²⁴⁷, 176, F₃, 5, 79) (dual of [(176, 5), 633, 80]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3²⁴⁸, 176, F₃, 5, 79) (dual of [(176, 5), 632, 80]-NRT-code)	[i]		OOA Duplication