MinT - Information on Result #1179596

Information on Result #1179596

Digital (1, 4, 626)-net over F₂₅, using net defined by OOA based on linear OOA(25⁴, 626, F₂₅, 3, 3) (dual of [(626, 3), 1874, 4]-NRT-code), using

appending kth column [i] based on linear OOA(25⁴, 626, F₂₅, 2, 3) (dual of [(626, 2), 1248, 4]-NRT-code), using
- OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(25⁴, 626, F₂₅, 3) (dual of [626, 622, 4]-code or 626-cap in PG(3,25)), using
  - ovoid in PG(3,Â 25) [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 (14, 20, 5835)-net over F₂₅	[i]	(u,Â u+v)-Construction for Nets
2	Digital (19, 25, 130835)-net over F₂₅	[i]
3	Digital (24, 30, 2796827)-net over F₂₅	[i]
4	Digital (10, 17, 418)-net over F₂₅	[i]
5	Digital (16, 23, 5835)-net over F₂₅	[i]
6	Digital (22, 29, 130835)-net over F₂₅	[i]
7	Digital (28, 35, 2796826)-net over F₂₅	[i]
8	Digital (95, 107, 4195004)-net over F₂₅	[i]	Generalized (u,Â u+v)-Construction for Nets
9	Digital (73, 84, 3358570)-net over F₂₅	[i]
10	Digital (69, 79, 3358570)-net over F₂₅	[i]
11	Digital (88, 101, 2796852)-net over F₂₅	[i]
12	Digital (84, 96, 2796852)-net over F₂₅	[i]
13	Digital (94, 106, 4194978)-net over F₂₅	[i]
14	Digital (95, 107, 4195578)-net over F₂₅	[i]
15	Digital (70, 81, 3356144)-net over F₂₅	[i]
16	Digital (71, 82, 3356744)-net over F₂₅	[i]
17	Digital (72, 83, 3357944)-net over F₂₅	[i]
18	Digital (66, 76, 3356144)-net over F₂₅	[i]
19	Digital (67, 77, 3356744)-net over F₂₅	[i]
20	Digital (68, 78, 3357944)-net over F₂₅	[i]
21	Digital (57, 66, 4196804)-net over F₂₅	[i]
22	Digital (95, 109, 2397368)-net over F₂₅	[i]
23	Digital (96, 110, 2397642)-net over F₂₅	[i]
24	Digital (86, 99, 2796826)-net over F₂₅	[i]
25	Digital (87, 100, 2797100)-net over F₂₅	[i]
26	Digital (88, 101, 2797142)-net over F₂₅	[i]
27	Digital (88, 101, 2797502)-net over F₂₅	[i]
28	Digital (89, 102, 2798102)-net over F₂₅	[i]
29	Digital (93, 106, 2992166)-net over F₂₅	[i]
30	Digital (94, 107, 2992766)-net over F₂₅	[i]
31	Digital (96, 109, 4194952)-net over F₂₅	[i]
32	Digital (97, 110, 4195552)-net over F₂₅	[i]
33	Digital (82, 94, 2796826)-net over F₂₅	[i]
34	Digital (83, 95, 2797100)-net over F₂₅	[i]
35	Digital (84, 96, 2797142)-net over F₂₅	[i]
36	Digital (84, 96, 2797502)-net over F₂₅	[i]
37	Digital (85, 97, 2798102)-net over F₂₅	[i]
38	Digital (89, 101, 2992166)-net over F₂₅	[i]
39	Digital (90, 102, 2992766)-net over F₂₅	[i]
40	Digital (92, 104, 4194952)-net over F₂₅	[i]
41	Digital (93, 105, 4195552)-net over F₂₅	[i]
42	Digital (69, 80, 3356118)-net over F₂₅	[i]
43	Digital (70, 81, 3356718)-net over F₂₅	[i]
44	Digital (71, 82, 3357318)-net over F₂₅	[i]
45	Digital (65, 75, 3356118)-net over F₂₅	[i]
46	Digital (66, 76, 3356718)-net over F₂₅	[i]
47	Digital (67, 77, 3357318)-net over F₂₅	[i]
48	Digital (55, 64, 4194978)-net over F₂₅	[i]
49	Digital (56, 65, 4196178)-net over F₂₅	[i]
50	Digital (93, 107, 2397342)-net over F₂₅	[i]
51	Digital (94, 108, 2397370)-net over F₂₅	[i]
52	Digital (95, 109, 2398018)-net over F₂₅	[i]
53	Digital (96, 110, 2398344)-net over F₂₅	[i]
54	Digital (84, 97, 2796800)-net over F₂₅	[i]
55	Digital (85, 98, 2796828)-net over F₂₅	[i]
56	Digital (86, 99, 2797476)-net over F₂₅	[i]
57	Digital (87, 100, 2797802)-net over F₂₅	[i]
58	Digital (88, 101, 2804640)-net over F₂₅	[i]
59	Digital (91, 104, 2992140)-net over F₂₅	[i]
60	Digital (94, 107, 4194926)-net over F₂₅	[i]
61	Digital (80, 92, 2796800)-net over F₂₅	[i]
62	Digital (81, 93, 2796828)-net over F₂₅	[i]
63	Digital (82, 94, 2797476)-net over F₂₅	[i]
64	Digital (83, 95, 2797802)-net over F₂₅	[i]
65	Digital (84, 96, 2804640)-net over F₂₅	[i]
66	Digital (87, 99, 2992140)-net over F₂₅	[i]
67	Digital (90, 102, 4194926)-net over F₂₅	[i]
68	Digital (67, 78, 3356092)-net over F₂₅	[i]
69	Digital (68, 79, 3356692)-net over F₂₅	[i]
70	Digital (63, 73, 3356092)-net over F₂₅	[i]
71	Digital (64, 74, 3356692)-net over F₂₅	[i]
72	Digital (54, 63, 4194952)-net over F₂₅	[i]
73	Digital (55, 64, 4195552)-net over F₂₅	[i]
74	Digital (65, 76, 3356066)-net over F₂₅	[i]
75	Digital (61, 71, 3356066)-net over F₂₅	[i]
76	Digital (52, 61, 4194926)-net over F₂₅	[i]