MinT - Information on Result #1179602

Information on Result #1179602

Digital (4, 7, 391875)-net over F₂₅, using net defined by OOA based on linear OOA(25⁷, 391875, F₂₅, 3, 3) (dual of [(391875, 3), 1175618, 4]-NRT-code), using

appending kth column [i] based on linear OOA(25⁷, 391875, F₂₅, 2, 3) (dual of [(391875, 2), 783743, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(25⁷, 391875, F₂₅, 3) (dual of [391875, 391868, 4]-code or 391875-cap in PG(6,25)), 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, 3188076)-net over F₂₅	[i]	(u,Â u+v)-Construction for Nets
2	Digital (31, 38, 3188075)-net over F₂₅	[i]	(u,Â u+v)-Construction for Nets
3	Digital (80, 91, 6365256)-net over F₂₅	[i]	Generalized (u,Â u+v)-Construction for Nets
4	Digital (81, 92, 6365328)-net over F₂₅	[i]
5	Digital (78, 89, 3747887)-net over F₂₅	[i]
6	Digital (79, 90, 3748512)-net over F₂₅	[i]
7	Digital (84, 95, large)-net over F₂₅	[i]
8	Digital (75, 85, 6365256)-net over F₂₅	[i]
9	Digital (76, 86, 6365328)-net over F₂₅	[i]
10	Digital (77, 87, 6365880)-net over F₂₅	[i]
11	Digital (73, 83, 3747887)-net over F₂₅	[i]
12	Digital (74, 84, 3748512)-net over F₂₅	[i]
13	Digital (79, 89, large)-net over F₂₅	[i]
14	Digital (62, 71, 6784686)-net over F₂₅	[i]
15	Digital (63, 72, 6784758)-net over F₂₅	[i]
16	Digital (65, 74, large)-net over F₂₅	[i]
17	Digital (40, 47, large)-net over F₂₅	[i]
18	Digital (35, 41, large)-net over F₂₅	[i]
19	Digital (77, 88, 3747497)-net over F₂₅	[i]
20	Digital (78, 89, 3748122)-net over F₂₅	[i]
21	Digital (76, 87, 3747471)-net over F₂₅	[i]
22	Digital (77, 88, 3748096)-net over F₂₅	[i]
23	Digital (72, 82, 3747471)-net over F₂₅	[i]
24	Digital (73, 83, 3748096)-net over F₂₅	[i]
25	Digital (75, 86, 3747445)-net over F₂₅	[i]
26	Digital (76, 87, 3748070)-net over F₂₅	[i]
27	Digital (71, 81, 3747445)-net over F₂₅	[i]
28	Digital (72, 82, 3748070)-net over F₂₅	[i]
29	Digital (61, 70, 4586305)-net over F₂₅	[i]
30	Digital (74, 85, 3747419)-net over F₂₅	[i]
31	Digital (75, 86, 3748044)-net over F₂₅	[i]
32	Digital (70, 80, 3747419)-net over F₂₅	[i]
33	Digital (71, 81, 3748044)-net over F₂₅	[i]
34	Digital (60, 69, 4586279)-net over F₂₅	[i]
35	Digital (61, 70, 4588779)-net over F₂₅	[i]
36	Digital (73, 84, 3747393)-net over F₂₅	[i]
37	Digital (74, 85, 3748018)-net over F₂₅	[i]
38	Digital (69, 79, 3747393)-net over F₂₅	[i]
39	Digital (70, 80, 3748018)-net over F₂₅	[i]
40	Digital (59, 68, 4586253)-net over F₂₅	[i]
41	Digital (60, 69, 4588128)-net over F₂₅	[i]
42	Digital (96, 109, 3186854)-net over F₂₅	[i]
43	Digital (92, 104, 3186854)-net over F₂₅	[i]
44	Digital (95, 107, 4586201)-net over F₂₅	[i]
45	Digital (72, 83, 3747367)-net over F₂₅	[i]
46	Digital (73, 84, 3747992)-net over F₂₅	[i]
47	Digital (68, 78, 3747367)-net over F₂₅	[i]
48	Digital (69, 79, 3747992)-net over F₂₅	[i]
49	Digital (58, 67, 4586227)-net over F₂₅	[i]
50	Digital (59, 68, 4587477)-net over F₂₅	[i]
51	Digital (94, 107, 3186828)-net over F₂₅	[i]
52	Digital (97, 110, 4586175)-net over F₂₅	[i]
53	Digital (90, 102, 3186828)-net over F₂₅	[i]
54	Digital (93, 105, 4586175)-net over F₂₅	[i]
55	Digital (70, 81, 3747341)-net over F₂₅	[i]
56	Digital (71, 82, 3747966)-net over F₂₅	[i]
57	Digital (72, 83, 3763591)-net over F₂₅	[i]
58	Digital (66, 76, 3747341)-net over F₂₅	[i]
59	Digital (67, 77, 3747966)-net over F₂₅	[i]
60	Digital (68, 78, 3763591)-net over F₂₅	[i]
61	Digital (57, 66, 4586201)-net over F₂₅	[i]
62	Digital (58, 67, 4586826)-net over F₂₅	[i]
63	Digital (68, 79, 3747315)-net over F₂₅	[i]
64	Digital (64, 74, 3747315)-net over F₂₅	[i]
65	Digital (55, 64, 4586175)-net over F₂₅	[i]