MinT - Information on Result #1179023

Information on Result #1179023

Digital (5, 8, 6472)-net over F₇, using net defined by OOA based on linear OOA(7⁸, 6472, F₇, 3, 3) (dual of [(6472, 3), 19408, 4]-NRT-code), using

appending kth column [i] based on linear OOA(7⁸, 6472, F₇, 2, 3) (dual of [(6472, 2), 12936, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(7⁸, 6472, F₇, 3) (dual of [6472, 6464, 4]-code or 6472-cap in PG(7,7)), using
  - caps completed using a computer search [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (44, 50, 3849674)-net over F₇	[i]		(u,Â u+v)-Construction for Nets
2	Digital (51, 58, 3849674)-net over F₇	[i]		(u,Â u+v)-Construction for Nets
3	Digital (94, 103, 5771300)-net over F₇	[i]		Generalized (u,Â u+v)-Construction for Nets
4	Digital (93, 102, 5771292)-net over F₇	[i]
5	Digital (92, 101, 5771284)-net over F₇	[i]
6	Digital (93, 102, 5771333)-net over F₇	[i]
7	Digital (90, 99, 5771276)-net over F₇	[i]