MinT - Information on Result #1178926

Information on Result #1178926

Digital (1, 4, 10)-net over F₃, using net defined by OOA based on linear OOA(3⁴, 10, F₃, 3, 3) (dual of [(10, 3), 26, 4]-NRT-code), using

appending kth column [i] based on linear OOA(3⁴, 10, F₃, 2, 3) (dual of [(10, 2), 16, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(3⁴, 10, F₃, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)), using
  - ovoid in PG(3,Â 3) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Digital (70, 76, 3188660)-net over F₃	[i]		(u,Â u+v)-Construction for Nets
2	Digital (113, 122, 4194310)-net over F₃	[i]		Generalized (u,Â u+v)-Construction for Nets