MinT - Information on Result #520188

Information on Result #520188

There is no (22, 143, 30)-net in base 2, because extracting embedded OOA would yield OOA(2¹⁴³, 30, S₂, 5, 121), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 758 225336 750041 186812 214421 270044 291203 334144 / 61 > 2¹⁴³ [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 (22, 144, 30)-net in base 2	[i]	m-Reduction
2	No (22, 145, 30)-net in base 2	[i]
3	No (22, 146, 30)-net in base 2	[i]
4	No (22, 147, 30)-net in base 2	[i]
5	No (22, 148, 30)-net in base 2	[i]
6	No (22, 149, 30)-net in base 2	[i]
7	No (22, 150, 30)-net in base 2	[i]
8	No (22, 151, 30)-net in base 2	[i]
9	No (22, 152, 30)-net in base 2	[i]
10	No (22, 153, 30)-net in base 2	[i]
11	No (22, 154, 30)-net in base 2	[i]
12	No (22, 155, 30)-net in base 2	[i]
13	No (22, 156, 30)-net in base 2	[i]
14	No (22, 157, 30)-net in base 2	[i]
15	No (22, 158, 30)-net in base 2	[i]
16	No (22, 159, 30)-net in base 2	[i]
17	No (22, 160, 30)-net in base 2	[i]
18	No (22, 161, 30)-net in base 2	[i]
19	No (22, 162, 30)-net in base 2	[i]
20	No (22, 163, 30)-net in base 2	[i]
21	No (22, 164, 30)-net in base 2	[i]
22	No (22, 165, 30)-net in base 2	[i]
23	No (22, 166, 30)-net in base 2	[i]
24	No (22, 167, 30)-net in base 2	[i]
25	No (22, 168, 30)-net in base 2	[i]
26	No (22, 169, 30)-net in base 2	[i]
27	No (22, 170, 30)-net in base 2	[i]
28	No (22, 171, 30)-net in base 2	[i]
29	No (22, 172, 30)-net in base 2	[i]
30	No (22, 173, 30)-net in base 2	[i]
31	No (22, 174, 30)-net in base 2	[i]
32	No (22, 175, 30)-net in base 2	[i]
33	No (22, 176, 30)-net in base 2	[i]
34	No (22, 177, 30)-net in base 2	[i]
35	No (22, 178, 30)-net in base 2	[i]
36	No (22, 179, 30)-net in base 2	[i]
37	No (22, 180, 30)-net in base 2	[i]
38	No (22, 181, 30)-net in base 2	[i]
39	No (22, 182, 30)-net in base 2	[i]
40	No (22, 183, 30)-net in base 2	[i]
41	No (22, 184, 30)-net in base 2	[i]
42	No (22, 185, 30)-net in base 2	[i]
43	No (22, 186, 30)-net in base 2	[i]
44	No (22, 187, 30)-net in base 2	[i]
45	No (22, 188, 30)-net in base 2	[i]
46	No (22, 189, 30)-net in base 2	[i]
47	No (22, 190, 30)-net in base 2	[i]
48	No (22, 191, 30)-net in base 2	[i]
49	No (22, 192, 30)-net in base 2	[i]
50	No (22, 193, 30)-net in base 2	[i]
51	No (22, 194, 30)-net in base 2	[i]
52	No (22, 195, 30)-net in base 2	[i]
53	No (22, 196, 30)-net in base 2	[i]
54	No (22, 197, 30)-net in base 2	[i]
55	No (22, 198, 30)-net in base 2	[i]
56	No (22, 199, 30)-net in base 2	[i]
57	No (22, 200, 30)-net in base 2	[i]
58	No (22, 201, 30)-net in base 2	[i]
59	No (22, 202, 30)-net in base 2	[i]
60	No (22, 203, 30)-net in base 2	[i]
61	No (22, 204, 30)-net in base 2	[i]
62	No (22, 205, 30)-net in base 2	[i]
63	No (22, 206, 30)-net in base 2	[i]
64	No (22, 207, 30)-net in base 2	[i]
65	No (22, 208, 30)-net in base 2	[i]
66	No (22, 209, 30)-net in base 2	[i]
67	No (22, 210, 30)-net in base 2	[i]
68	No (22, 211, 30)-net in base 2	[i]
69	No (22, 212, 30)-net in base 2	[i]
70	No (22, 213, 30)-net in base 2	[i]
71	No (22, 214, 30)-net in base 2	[i]
72	No (22, 215, 30)-net in base 2	[i]
73	No (22, 216, 30)-net in base 2	[i]
74	No (22, 217, 30)-net in base 2	[i]
75	No (22, 218, 30)-net in base 2	[i]
76	No (22, 219, 30)-net in base 2	[i]
77	No (22, 220, 30)-net in base 2	[i]
78	No (22, 221, 30)-net in base 2	[i]
79	No (22, 222, 30)-net in base 2	[i]
80	No (22, 223, 30)-net in base 2	[i]
81	No (22, 224, 30)-net in base 2	[i]
82	No (22, 225, 30)-net in base 2	[i]
83	No (22, 226, 30)-net in base 2	[i]
84	No (22, 227, 30)-net in base 2	[i]
85	No (22, 228, 30)-net in base 2	[i]
86	No (22, 229, 30)-net in base 2	[i]
87	No (22, 230, 30)-net in base 2	[i]
88	No (22, 231, 30)-net in base 2	[i]
89	No (22, 232, 30)-net in base 2	[i]
90	No (22, 233, 30)-net in base 2	[i]
91	No (22, 234, 30)-net in base 2	[i]
92	No (22, 235, 30)-net in base 2	[i]
93	No (22, 236, 30)-net in base 2	[i]
94	No (22, 237, 30)-net in base 2	[i]
95	No (22, 238, 30)-net in base 2	[i]
96	No (22, 239, 30)-net in base 2	[i]
97	No (22, 240, 30)-net in base 2	[i]
98	No (22, 241, 30)-net in base 2	[i]
99	No (22, 242, 30)-net in base 2	[i]
100	No (22, 243, 30)-net in base 2	[i]
101	No (22, 244, 30)-net in base 2	[i]
102	No (22, 245, 30)-net in base 2	[i]
103	No (22, 246, 30)-net in base 2	[i]
104	No (22, 247, 30)-net in base 2	[i]
105	No (22, 248, 30)-net in base 2	[i]
106	No (22, 249, 30)-net in base 2	[i]
107	No (22, 250, 30)-net in base 2	[i]
108	No (22, 251, 30)-net in base 2	[i]
109	No (22, 252, 30)-net in base 2	[i]
110	No (22, 253, 30)-net in base 2	[i]
111	No (22, 254, 30)-net in base 2	[i]
112	No (22, 255, 30)-net in base 2	[i]
113	No (22, 256, 30)-net in base 2	[i]
114	No (22, 257, 30)-net in base 2	[i]
115	No (22, 258, 30)-net in base 2	[i]
116	No (22, 259, 30)-net in base 2	[i]
117	No (22, 260, 30)-net in base 2	[i]
118	No (22, m, 30)-net in base 2 for arbitrarily large m	[i]	m-Reduction from Arbitrarily Large Net