MinT - Information on Result #1179019

Information on Result #1179019

Digital (1, 4, 50)-net over F₇, using net defined by OOA based on linear OOA(7⁴, 50, F₇, 3, 3) (dual of [(50, 3), 146, 4]-NRT-code), using

appending kth column [i] based on linear OOA(7⁴, 50, F₇, 2, 3) (dual of [(50, 2), 96, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(7⁴, 50, F₇, 3) (dual of [50, 46, 4]-code or 50-cap in PG(3,7)), using
  - ovoid in PG(3,Â 7) [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 (10, 16, 150)-net over F₇	[i]		(u,Â u+v)-Construction for Nets
2	Digital (24, 30, 5654)-net over F₇	[i]
3	Digital (34, 40, 274566)-net over F₇	[i]
4	Digital (40, 46, 3843252)-net over F₇	[i]
5	Digital (5, 12, 26)-net over F₇	[i]
6	Digital (11, 18, 150)-net over F₇	[i]
7	Digital (47, 54, 3843252)-net over F₇	[i]
8	Digital (89, 98, 5764870)-net over F₇	[i]		Generalized (u,Â u+v)-Construction for Nets
9	Digital (90, 99, 5764954)-net over F₇	[i]
10	Digital (88, 97, 5764862)-net over F₇	[i]
11	Digital (89, 98, 5764904)-net over F₇	[i]
12	Digital (25, 36, 250)-net over F₇	[i]
13	Digital (86, 95, 5764854)-net over F₇	[i]