MinT - Information on Result #1179012

Information on Result #1179012

Digital (7, 10, 17124)-net over F₅, using net defined by OOA based on linear OOA(5¹⁰, 17124, F₅, 3, 3) (dual of [(17124, 3), 51362, 4]-NRT-code), using

appending kth column [i] based on linear OOA(5¹⁰, 17124, F₅, 2, 3) (dual of [(17124, 2), 34238, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(5¹⁰, 17124, F₅, 3) (dual of [17124, 17114, 4]-code or 17124-cap in PG(9,5)), 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 (45, 51, 2813325)-net over F₅	[i]		(u,Â u+v)-Construction for Nets
2	Digital (56, 62, 5609526)-net over F₅	[i]
3	Digital (65, 72, 5609524)-net over F₅	[i]
4	Digital (136, 146, 6728016)-net over F₅	[i]		Generalized (u,Â u+v)-Construction for Nets
5	Digital (137, 147, 6728041)-net over F₅	[i]
6	Digital (138, 148, 6728066)-net over F₅	[i]
7	Digital (138, 148, 6728166)-net over F₅	[i]
8	Digital (139, 149, 6728191)-net over F₅	[i]
9	Digital (140, 150, 6728316)-net over F₅	[i]
10	Digital (139, 149, 6728791)-net over F₅	[i]
11	Digital (140, 150, 6728816)-net over F₅	[i]
12	Digital (140, 150, 6731916)-net over F₅	[i]
13	Digital (134, 144, 6728010)-net over F₅	[i]
14	Digital (135, 145, 6728035)-net over F₅	[i]
15	Digital (136, 146, 6728160)-net over F₅	[i]
16	Digital (132, 142, 6728004)-net over F₅	[i]