MinT - Information on Result #522368

Information on Result #522368

There is no (0, 3, 7)-net in base 5, because extracting embedded orthogonal array would yield OA(5³, 7, S₅, 3), but

bound for OAs with index unity [i]

Mode: Bound.

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	No (0, 4, 7)-net in base 5	[i]	m-Reduction
2	No (0, 5, 7)-net in base 5	[i]
3	No (0, 6, 7)-net in base 5	[i]
4	No (0, 7, 7)-net in base 5	[i]
5	No (0, 8, 7)-net in base 5	[i]
6	No (0, 9, 7)-net in base 5	[i]
7	No (0, 10, 7)-net in base 5	[i]
8	No (0, 11, 7)-net in base 5	[i]
9	No (0, 12, 7)-net in base 5	[i]
10	No (0, 13, 7)-net in base 5	[i]
11	No (0, 14, 7)-net in base 5	[i]
12	No (0, 15, 7)-net in base 5	[i]
13	No (0, 16, 7)-net in base 5	[i]
14	No (0, 17, 7)-net in base 5	[i]
15	No (0, 18, 7)-net in base 5	[i]
16	No (0, 19, 7)-net in base 5	[i]
17	No (0, 20, 7)-net in base 5	[i]
18	No (0, 21, 7)-net in base 5	[i]
19	No (0, 22, 7)-net in base 5	[i]
20	No (0, 23, 7)-net in base 5	[i]
21	No (0, 24, 7)-net in base 5	[i]
22	No (0, 25, 7)-net in base 5	[i]
23	No (0, 26, 7)-net in base 5	[i]
24	No (0, 27, 7)-net in base 5	[i]
25	No (0, 28, 7)-net in base 5	[i]
26	No (0, 29, 7)-net in base 5	[i]
27	No (0, 30, 7)-net in base 5	[i]
28	No (0, 31, 7)-net in base 5	[i]
29	No (0, 32, 7)-net in base 5	[i]
30	No (0, 33, 7)-net in base 5	[i]
31	No (0, 34, 7)-net in base 5	[i]
32	No (0, 35, 7)-net in base 5	[i]
33	No (0, 36, 7)-net in base 5	[i]
34	No (0, 37, 7)-net in base 5	[i]
35	No (0, 38, 7)-net in base 5	[i]
36	No (0, 39, 7)-net in base 5	[i]
37	No (0, 40, 7)-net in base 5	[i]
38	No (0, 41, 7)-net in base 5	[i]
39	No (0, 42, 7)-net in base 5	[i]
40	No (0, 43, 7)-net in base 5	[i]
41	No (0, 44, 7)-net in base 5	[i]
42	No (0, 45, 7)-net in base 5	[i]
43	No (0, 46, 7)-net in base 5	[i]
44	No (0, 47, 7)-net in base 5	[i]
45	No (0, 48, 7)-net in base 5	[i]
46	No (0, 49, 7)-net in base 5	[i]
47	No (0, 50, 7)-net in base 5	[i]
48	No (0, 51, 7)-net in base 5	[i]
49	No (0, 52, 7)-net in base 5	[i]
50	No (0, 53, 7)-net in base 5	[i]
51	No (0, 54, 7)-net in base 5	[i]
52	No (0, 55, 7)-net in base 5	[i]
53	No (0, 56, 7)-net in base 5	[i]
54	No (0, 57, 7)-net in base 5	[i]
55	No (0, 58, 7)-net in base 5	[i]
56	No (0, 59, 7)-net in base 5	[i]
57	No (0, 60, 7)-net in base 5	[i]
58	No (0, 61, 7)-net in base 5	[i]
59	No (0, 62, 7)-net in base 5	[i]
60	No (0, 63, 7)-net in base 5	[i]
61	No (0, 64, 7)-net in base 5	[i]
62	No (0, 65, 7)-net in base 5	[i]
63	No (0, 66, 7)-net in base 5	[i]
64	No (0, 67, 7)-net in base 5	[i]
65	No (0, 68, 7)-net in base 5	[i]
66	No (0, 69, 7)-net in base 5	[i]
67	No (0, 70, 7)-net in base 5	[i]
68	No (0, 71, 7)-net in base 5	[i]
69	No (0, 72, 7)-net in base 5	[i]
70	No (0, 73, 7)-net in base 5	[i]
71	No (0, 74, 7)-net in base 5	[i]
72	No (0, 75, 7)-net in base 5	[i]
73	No (0, 76, 7)-net in base 5	[i]
74	No (0, 77, 7)-net in base 5	[i]
75	No (0, 78, 7)-net in base 5	[i]
76	No (0, 79, 7)-net in base 5	[i]
77	No (0, 80, 7)-net in base 5	[i]
78	No (0, 81, 7)-net in base 5	[i]
79	No (0, 82, 7)-net in base 5	[i]
80	No (0, 83, 7)-net in base 5	[i]
81	No (0, 84, 7)-net in base 5	[i]
82	No (0, 85, 7)-net in base 5	[i]
83	No (0, 86, 7)-net in base 5	[i]
84	No (0, 87, 7)-net in base 5	[i]
85	No (0, 88, 7)-net in base 5	[i]
86	No (0, 89, 7)-net in base 5	[i]
87	No (0, 90, 7)-net in base 5	[i]
88	No (0, 91, 7)-net in base 5	[i]
89	No (0, 92, 7)-net in base 5	[i]
90	No (0, 93, 7)-net in base 5	[i]
91	No (0, 94, 7)-net in base 5	[i]
92	No (0, 95, 7)-net in base 5	[i]
93	No (0, 96, 7)-net in base 5	[i]
94	No (0, 97, 7)-net in base 5	[i]
95	No (0, 98, 7)-net in base 5	[i]
96	No (0, 99, 7)-net in base 5	[i]
97	No (0, 100, 7)-net in base 5	[i]
98	No (0, 101, 7)-net in base 5	[i]
99	No (0, 102, 7)-net in base 5	[i]
100	No (0, 103, 7)-net in base 5	[i]
101	No (0, 104, 7)-net in base 5	[i]
102	No (0, 105, 7)-net in base 5	[i]
103	No (0, 106, 7)-net in base 5	[i]
104	No (0, 107, 7)-net in base 5	[i]
105	No (0, 108, 7)-net in base 5	[i]
106	No (0, 109, 7)-net in base 5	[i]
107	No (0, 110, 7)-net in base 5	[i]
108	No (0, 111, 7)-net in base 5	[i]
109	No (0, 112, 7)-net in base 5	[i]
110	No (0, 113, 7)-net in base 5	[i]
111	No (0, 114, 7)-net in base 5	[i]
112	No (0, 115, 7)-net in base 5	[i]
113	No (0, 116, 7)-net in base 5	[i]
114	No (0, 117, 7)-net in base 5	[i]
115	No (0, 118, 7)-net in base 5	[i]
116	No (0, 119, 7)-net in base 5	[i]
117	No (0, 120, 7)-net in base 5	[i]
118	No (0, 121, 7)-net in base 5	[i]
119	No (0, 122, 7)-net in base 5	[i]
120	No (0, 123, 7)-net in base 5	[i]
121	No (0, 124, 7)-net in base 5	[i]
122	No (0, 125, 7)-net in base 5	[i]
123	No (0, 126, 7)-net in base 5	[i]
124	No (0, 127, 7)-net in base 5	[i]
125	No (0, 128, 7)-net in base 5	[i]
126	No (0, 129, 7)-net in base 5	[i]
127	No (0, 130, 7)-net in base 5	[i]
128	No (0, 131, 7)-net in base 5	[i]
129	No (0, 132, 7)-net in base 5	[i]
130	No (0, 133, 7)-net in base 5	[i]
131	No (0, 134, 7)-net in base 5	[i]
132	No (0, 135, 7)-net in base 5	[i]
133	No (0, 136, 7)-net in base 5	[i]
134	No (0, 137, 7)-net in base 5	[i]
135	No (0, 138, 7)-net in base 5	[i]
136	No (0, 139, 7)-net in base 5	[i]
137	No (0, 140, 7)-net in base 5	[i]
138	No (0, 141, 7)-net in base 5	[i]
139	No (0, 142, 7)-net in base 5	[i]
140	No (0, 143, 7)-net in base 5	[i]
141	No (0, 144, 7)-net in base 5	[i]
142	No (0, 145, 7)-net in base 5	[i]
143	No (0, 146, 7)-net in base 5	[i]
144	No (0, 147, 7)-net in base 5	[i]
145	No (0, 148, 7)-net in base 5	[i]
146	No (0, 149, 7)-net in base 5	[i]
147	No (0, 150, 7)-net in base 5	[i]