MinT - Information on Result #1217166

Information on Result #1217166

Digital (13, 19, 400)-net over F₉, using (u,Â u+v)-construction based on

digital (2, 5, 212)-net over F₉, using
- net defined by OOA [i] based on linear OOA(9⁵, 212, F₉, 3, 3) (dual of [(212, 3), 631, 4]-NRT-code), using
  - appending kth column [i] based on linear OOA(9⁵, 212, F₉, 2, 3) (dual of [(212, 2), 419, 4]-NRT-code), using
    - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(9⁵, 212, F₉, 3) (dual of [212, 207, 4]-code or 212-cap in PG(4,9)), using
      - caps completed using a computer search [i]
digital (8, 14, 200)-net over F₉, using
- trace code for nets [i] based on digital (1, 7, 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]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (97, 109, 2796600)-net over F₉	[i]		(u,Â u+v)-Construction for Nets
2	Digital (104, 117, 2796600)-net over F₉	[i]		(u,Â u+v)-Construction for Nets