MinT - Information on Result #1081744

Information on Result #1081744

Linear OOA(3²⁴⁵, 167, F₃, 4, 81) (dual of [(167, 4), 423, 82]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁴⁹, 19, F₃, 4, 40) (dual of [(19, 4), 27, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,35P) [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(3¹⁹⁶, 148, F₃, 4, 81) (dual of [(148, 4), 396, 82]-NRT-code), using
- extracting embedded OOA [i] based on digital (115, 196, 148)-net over F₃, using
  - trace code for nets [i] based on digital (17, 98, 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(3²⁴⁶, 167, F₃, 4, 81) (dual of [(167, 4), 422, 82]-NRT-code)	[i]		OOA Duplication