MinT - Information on Result #1081705

Information on Result #1081705

Linear OOA(3²⁴⁴, 176, F₃, 4, 78) (dual of [(176, 4), 460, 79]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁵⁴, 28, F₃, 4, 39) (dual of [(28, 4), 58, 40]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,72P) [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(3¹⁹⁰, 148, F₃, 4, 78) (dual of [(148, 4), 402, 79]-NRT-code), using
- extracting embedded OOA [i] based on digital (112, 190, 148)-net over F₃, using
  - trace code for nets [i] based on digital (17, 95, 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(3²⁴⁵, 176, F₃, 4, 78) (dual of [(176, 4), 459, 79]-NRT-code)	[i]		OOA Duplication