MinT - Information on Result #1179610

Information on Result #1179610

Digital (2, 5, 1708)-net over F₂₇, using net defined by OOA based on linear OOA(27⁵, 1708, F₂₇, 3, 3) (dual of [(1708, 3), 5119, 4]-NRT-code), using

appending kth column [i] based on linear OOA(27⁵, 1708, F₂₇, 2, 3) (dual of [(1708, 2), 3411, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(27⁵, 1708, F₂₇, 3) (dual of [1708, 1703, 4]-code or 1708-cap in PG(4,27)), using
  - large caps in PG(4,Â b) [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		Method
1	Digital (25, 31, 2797909)-net over F₂₇	[i]	(u,Â u+v)-Construction for Nets
2	Digital (17, 24, 8269)-net over F₂₇	[i]
3	Digital (23, 30, 178856)-net over F₂₇	[i]
4	Digital (29, 36, 2797908)-net over F₂₇	[i]
5	Digital (95, 107, 4196064)-net over F₂₇	[i]	Generalized (u,Â u+v)-Construction for Nets
6	Digital (71, 82, 3357232)-net over F₂₇	[i]
7	Digital (67, 77, 3357232)-net over F₂₇	[i]
8	Digital (93, 106, 2809459)-net over F₂₇	[i]
9	Digital (94, 107, 3063658)-net over F₂₇	[i]
10	Digital (97, 110, 4196036)-net over F₂₇	[i]
11	Digital (89, 101, 2809459)-net over F₂₇	[i]
12	Digital (90, 102, 3063658)-net over F₂₇	[i]
13	Digital (93, 105, 4196036)-net over F₂₇	[i]
14	Digital (94, 106, 4196765)-net over F₂₇	[i]
15	Digital (95, 107, 4197716)-net over F₂₇	[i]
16	Digital (70, 81, 3357204)-net over F₂₇	[i]
17	Digital (71, 82, 3357933)-net over F₂₇	[i]
18	Digital (66, 76, 3357204)-net over F₂₇	[i]
19	Digital (67, 77, 3357933)-net over F₂₇	[i]
20	Digital (57, 66, 4197522)-net over F₂₇	[i]
21	Digital (96, 110, 2398254)-net over F₂₇	[i]
22	Digital (87, 100, 2797712)-net over F₂₇	[i]
23	Digital (88, 101, 2797732)-net over F₂₇	[i]
24	Digital (89, 102, 2807751)-net over F₂₇	[i]
25	Digital (92, 105, 3063630)-net over F₂₇	[i]
26	Digital (95, 108, 4196008)-net over F₂₇	[i]
27	Digital (83, 95, 2797712)-net over F₂₇	[i]
28	Digital (84, 96, 2797732)-net over F₂₇	[i]
29	Digital (85, 97, 2807751)-net over F₂₇	[i]
30	Digital (88, 100, 3063630)-net over F₂₇	[i]
31	Digital (91, 103, 4196008)-net over F₂₇	[i]
32	Digital (68, 79, 3357176)-net over F₂₇	[i]
33	Digital (69, 80, 3357905)-net over F₂₇	[i]
34	Digital (70, 81, 3358856)-net over F₂₇	[i]
35	Digital (64, 74, 3357176)-net over F₂₇	[i]
36	Digital (65, 75, 3357905)-net over F₂₇	[i]
37	Digital (66, 76, 3358856)-net over F₂₇	[i]
38	Digital (55, 64, 4196036)-net over F₂₇	[i]
39	Digital (56, 65, 4196765)-net over F₂₇	[i]
40	Digital (66, 77, 3357148)-net over F₂₇	[i]
41	Digital (62, 72, 3357148)-net over F₂₇	[i]
42	Digital (53, 62, 4196008)-net over F₂₇	[i]