MinT - Information on Result #1179022

Information on Result #1179022

Digital (4, 7, 2499)-net over F₇, using net defined by OOA based on linear OOA(7⁷, 2499, F₇, 3, 3) (dual of [(2499, 3), 7490, 4]-NRT-code), using

appending kth column [i] based on linear OOA(7⁷, 2499, F₇, 2, 3) (dual of [(2499, 2), 4991, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(7⁷, 2499, F₇, 3) (dual of [2499, 2492, 4]-code or 2499-cap in PG(6,7)), using
  - product of two caps with tangent hyperplane [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 (43, 49, 3845701)-net over F₇	[i]		(u,Â u+v)-Construction for Nets
2	Digital (50, 57, 3845701)-net over F₇	[i]		(u,Â u+v)-Construction for Nets
3	Digital (92, 101, 5767319)-net over F₇	[i]		Generalized (u,Â u+v)-Construction for Nets
4	Digital (91, 100, 5767311)-net over F₇	[i]
5	Digital (92, 101, 5767360)-net over F₇	[i]
6	Digital (89, 98, 5767303)-net over F₇	[i]