MinT - Information on Result #1016331

Information on Result #1016331

Linear OOA(9⁵⁸, 400, F₉, 3, 18) (dual of [(400, 3), 1142, 19]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(9²⁰, 200, F₉, 3, 9) (dual of [(200, 3), 580, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 20, 200)-net over F₉, using
  - trace code for nets [i] based on digital (1, 10, 100)-net over F₈₁, using
    - net from sequence [i] based on digital (1, 99)-sequence over F₈₁, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 1 and N(F) ≥ 100, using
        a function field by SÃ©mirat [i]
linear OOA(9³⁸, 200, F₉, 3, 18) (dual of [(200, 3), 562, 19]-NRT-code), using
- extracting embedded OOA [i] based on digital (20, 38, 200)-net over F₉, using
  - trace code for nets [i] based on digital (1, 19, 100)-net over F₈₁, using
    - net from sequence [i] based on digital (1, 99)-sequence over F₈₁ (see above)

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(9⁵⁹, 400, F₉, 3, 18) (dual of [(400, 3), 1141, 19]-NRT-code)	[i]		OOA Duplication