MinT - Information on Result #1179009

Information on Result #1179009

Digital (4, 7, 675)-net over F₅, using net defined by OOA based on linear OOA(5⁷, 675, F₅, 3, 3) (dual of [(675, 3), 2018, 4]-NRT-code), using

appending kth column [i] based on linear OOA(5⁷, 675, F₅, 2, 3) (dual of [(675, 2), 1343, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(5⁷, 675, F₅, 3) (dual of [675, 668, 4]-code or 675-cap in PG(6,5)), 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 (42, 48, 2796876)-net over F₅	[i]		(u,Â u+v)-Construction for Nets
2	Digital (53, 59, 5593077)-net over F₅	[i]
3	Digital (62, 69, 5593075)-net over F₅	[i]
4	Digital (133, 143, 6711567)-net over F₅	[i]		Generalized (u,Â u+v)-Construction for Nets
5	Digital (134, 144, 6711592)-net over F₅	[i]
6	Digital (135, 145, 6711617)-net over F₅	[i]
7	Digital (135, 145, 6711717)-net over F₅	[i]
8	Digital (136, 146, 6712236)-net over F₅	[i]
9	Digital (137, 147, 6712261)-net over F₅	[i]
10	Digital (138, 148, 6712386)-net over F₅	[i]
11	Digital (139, 149, 6712905)-net over F₅	[i]
12	Digital (131, 141, 6711561)-net over F₅	[i]
13	Digital (132, 142, 6711586)-net over F₅	[i]
14	Digital (133, 143, 6711711)-net over F₅	[i]
15	Digital (138, 149, 6711555)-net over F₅	[i]
16	Digital (129, 139, 6711555)-net over F₅	[i]