MinT - Information on Result #1179614

Information on Result #1179614

Digital (4, 7, 532899)-net over F₂₇, using net defined by OOA based on linear OOA(27⁷, 532899, F₂₇, 3, 3) (dual of [(532899, 3), 1598690, 4]-NRT-code), using

appending kth column [i] based on linear OOA(27⁷, 532899, F₂₇, 2, 3) (dual of [(532899, 2), 1065791, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(27⁷, 532899, F₂₇, 3) (dual of [532899, 532892, 4]-code or 532899-cap in PG(6,27)), 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		Method
1	Digital (27, 33, 3329100)-net over F₂₇	[i]	(u,Â u+v)-Construction for Nets
2	Digital (31, 38, 3329099)-net over F₂₇	[i]	(u,Â u+v)-Construction for Nets
3	Digital (80, 91, large)-net over F₂₇	[i]	Generalized (u,Â u+v)-Construction for Nets
4	Digital (78, 89, 3889011)-net over F₂₇	[i]
5	Digital (79, 90, 3889740)-net over F₂₇	[i]
6	Digital (75, 85, large)-net over F₂₇	[i]
7	Digital (73, 83, 3889011)-net over F₂₇	[i]
8	Digital (74, 84, 3889740)-net over F₂₇	[i]
9	Digital (62, 71, large)-net over F₂₇	[i]
10	Digital (40, 47, large)-net over F₂₇	[i]
11	Digital (35, 41, large)-net over F₂₇	[i]
12	Digital (77, 88, 3888535)-net over F₂₇	[i]
13	Digital (78, 89, 3889264)-net over F₂₇	[i]
14	Digital (76, 87, 3888507)-net over F₂₇	[i]
15	Digital (77, 88, 3889236)-net over F₂₇	[i]
16	Digital (72, 82, 3888507)-net over F₂₇	[i]
17	Digital (73, 83, 3889236)-net over F₂₇	[i]
18	Digital (75, 86, 3888479)-net over F₂₇	[i]
19	Digital (76, 87, 3889208)-net over F₂₇	[i]
20	Digital (71, 81, 3888479)-net over F₂₇	[i]
21	Digital (72, 82, 3889208)-net over F₂₇	[i]
22	Digital (61, 70, 4727339)-net over F₂₇	[i]
23	Digital (74, 85, 3888451)-net over F₂₇	[i]
24	Digital (75, 86, 3889180)-net over F₂₇	[i]
25	Digital (70, 80, 3888451)-net over F₂₇	[i]
26	Digital (71, 81, 3889180)-net over F₂₇	[i]
27	Digital (60, 69, 4727311)-net over F₂₇	[i]
28	Digital (61, 70, 4730227)-net over F₂₇	[i]
29	Digital (73, 84, 3888423)-net over F₂₇	[i]
30	Digital (74, 85, 3889152)-net over F₂₇	[i]
31	Digital (69, 79, 3888423)-net over F₂₇	[i]
32	Digital (70, 80, 3889152)-net over F₂₇	[i]
33	Digital (59, 68, 4727283)-net over F₂₇	[i]
34	Digital (60, 69, 4729470)-net over F₂₇	[i]
35	Digital (96, 109, 3327672)-net over F₂₇	[i]
36	Digital (92, 104, 3327672)-net over F₂₇	[i]
37	Digital (95, 107, 4727227)-net over F₂₇	[i]
38	Digital (72, 83, 3888395)-net over F₂₇	[i]
39	Digital (73, 84, 3889124)-net over F₂₇	[i]
40	Digital (68, 78, 3888395)-net over F₂₇	[i]
41	Digital (69, 79, 3889124)-net over F₂₇	[i]
42	Digital (58, 67, 4727255)-net over F₂₇	[i]
43	Digital (59, 68, 4728713)-net over F₂₇	[i]
44	Digital (94, 107, 3327644)-net over F₂₇	[i]
45	Digital (97, 110, 4727199)-net over F₂₇	[i]
46	Digital (90, 102, 3327644)-net over F₂₇	[i]
47	Digital (93, 105, 4727199)-net over F₂₇	[i]
48	Digital (70, 81, 3888367)-net over F₂₇	[i]
49	Digital (71, 82, 3889096)-net over F₂₇	[i]
50	Digital (72, 83, 3908779)-net over F₂₇	[i]
51	Digital (66, 76, 3888367)-net over F₂₇	[i]
52	Digital (67, 77, 3889096)-net over F₂₇	[i]
53	Digital (68, 78, 3908779)-net over F₂₇	[i]
54	Digital (57, 66, 4727227)-net over F₂₇	[i]
55	Digital (58, 67, 4727956)-net over F₂₇	[i]
56	Digital (68, 79, 3888339)-net over F₂₇	[i]
57	Digital (64, 74, 3888339)-net over F₂₇	[i]
58	Digital (55, 64, 4727199)-net over F₂₇	[i]