MinT - Information on Result #1179007

Information on Result #1179007

Digital (2, 5, 66)-net over F₅, using net defined by OOA based on linear OOA(5⁵, 66, F₅, 3, 3) (dual of [(66, 3), 193, 4]-NRT-code), using

appending kth column [i] based on linear OOA(5⁵, 66, F₅, 2, 3) (dual of [(66, 2), 127, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(5⁵, 66, F₅, 3) (dual of [66, 61, 4]-code or 66-cap in PG(4,5)), 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 (9, 15, 66)-net over F₅	[i]		(u,Â u+v)-Construction for Nets
2	Digital (40, 46, 2796267)-net over F₅	[i]
3	Digital (51, 57, 5592468)-net over F₅	[i]
4	Digital (60, 67, 5592466)-net over F₅	[i]
5	Digital (133, 143, 6711018)-net over F₅	[i]		Generalized (u,Â u+v)-Construction for Nets
6	Digital (138, 149, 6710952)-net over F₅	[i]
7	Digital (129, 139, 6710952)-net over F₅	[i]
8	Digital (130, 140, 6710977)-net over F₅	[i]
9	Digital (131, 141, 6711012)-net over F₅	[i]
10	Digital (25, 36, 144)-net over F₅	[i]
11	Digital (26, 37, 156)-net over F₅	[i]
12	Digital (136, 147, 6710946)-net over F₅	[i]
13	Digital (24, 34, 144)-net over F₅	[i]
14	Digital (25, 35, 156)-net over F₅	[i]
15	Digital (127, 137, 6710946)-net over F₅	[i]