MinT - Information on Result #897502

Information on Result #897502

Linear OOA(9⁴⁸, 400, F₉, 2, 15) (dual of [(400, 2), 752, 16]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(9¹⁶, 200, F₉, 2, 7) (dual of [(200, 2), 384, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (9, 16, 200)-net over F₉, using
  - trace code for nets [i] based on digital (1, 8, 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(9³², 200, F₉, 2, 15) (dual of [(200, 2), 368, 16]-NRT-code), using
- extracting embedded OOA [i] based on digital (17, 32, 200)-net over F₉, using
  - trace code for nets [i] based on digital (1, 16, 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(9⁴⁹, 400, F₉, 2, 15) (dual of [(400, 2), 751, 16]-NRT-code)	[i]		OOA Duplication