MinT - Information on Result #520109

Information on Result #520109

There is no (11, 67, 18)-net in base 2, because extracting embedded OOA would yield OOA(2⁶⁷, 18, S₂, 4, 56), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 2951 479051 793528 258560 / 19 > 2⁶⁷ [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 (11, 68, 18)-net in base 2	[i]	m-Reduction
2	No (11, 69, 18)-net in base 2	[i]
3	No (11, 70, 18)-net in base 2	[i]
4	No (11, 71, 18)-net in base 2	[i]
5	No (11, 72, 18)-net in base 2	[i]
6	No (11, 73, 18)-net in base 2	[i]
7	No (11, 74, 18)-net in base 2	[i]
8	No (11, 75, 18)-net in base 2	[i]
9	No (11, 76, 18)-net in base 2	[i]
10	No (11, 77, 18)-net in base 2	[i]
11	No (11, 78, 18)-net in base 2	[i]
12	No (11, 79, 18)-net in base 2	[i]
13	No (11, 80, 18)-net in base 2	[i]
14	No (11, 81, 18)-net in base 2	[i]
15	No (11, 82, 18)-net in base 2	[i]
16	No (11, 83, 18)-net in base 2	[i]
17	No (11, 84, 18)-net in base 2	[i]
18	No (11, 85, 18)-net in base 2	[i]
19	No (11, 86, 18)-net in base 2	[i]
20	No (11, 87, 18)-net in base 2	[i]
21	No (11, 88, 18)-net in base 2	[i]
22	No (11, 89, 18)-net in base 2	[i]
23	No (11, 90, 18)-net in base 2	[i]
24	No (11, 91, 18)-net in base 2	[i]
25	No (11, 92, 18)-net in base 2	[i]
26	No (11, 93, 18)-net in base 2	[i]
27	No (11, 94, 18)-net in base 2	[i]
28	No (11, 95, 18)-net in base 2	[i]
29	No (11, 96, 18)-net in base 2	[i]
30	No (11, 97, 18)-net in base 2	[i]
31	No (11, 98, 18)-net in base 2	[i]
32	No (11, 99, 18)-net in base 2	[i]
33	No (11, 100, 18)-net in base 2	[i]
34	No (11, 101, 18)-net in base 2	[i]
35	No (11, 102, 18)-net in base 2	[i]
36	No (11, 103, 18)-net in base 2	[i]
37	No (11, 104, 18)-net in base 2	[i]
38	No (11, 105, 18)-net in base 2	[i]
39	No (11, 106, 18)-net in base 2	[i]
40	No (11, 107, 18)-net in base 2	[i]
41	No (11, 108, 18)-net in base 2	[i]
42	No (11, 109, 18)-net in base 2	[i]
43	No (11, 110, 18)-net in base 2	[i]
44	No (11, 111, 18)-net in base 2	[i]
45	No (11, 112, 18)-net in base 2	[i]
46	No (11, 113, 18)-net in base 2	[i]
47	No (11, 114, 18)-net in base 2	[i]
48	No (11, 115, 18)-net in base 2	[i]
49	No (11, 116, 18)-net in base 2	[i]
50	No (11, 117, 18)-net in base 2	[i]
51	No (11, 118, 18)-net in base 2	[i]
52	No (11, 119, 18)-net in base 2	[i]
53	No (11, 120, 18)-net in base 2	[i]
54	No (11, 121, 18)-net in base 2	[i]
55	No (11, 122, 18)-net in base 2	[i]
56	No (11, 123, 18)-net in base 2	[i]
57	No (11, 124, 18)-net in base 2	[i]
58	No (11, 125, 18)-net in base 2	[i]
59	No (11, 126, 18)-net in base 2	[i]
60	No (11, 127, 18)-net in base 2	[i]
61	No (11, 128, 18)-net in base 2	[i]
62	No (11, 129, 18)-net in base 2	[i]
63	No (11, 130, 18)-net in base 2	[i]
64	No (11, 131, 18)-net in base 2	[i]
65	No (11, 132, 18)-net in base 2	[i]
66	No (11, 133, 18)-net in base 2	[i]
67	No (11, 134, 18)-net in base 2	[i]
68	No (11, 135, 18)-net in base 2	[i]
69	No (11, 136, 18)-net in base 2	[i]
70	No (11, 137, 18)-net in base 2	[i]
71	No (11, 138, 18)-net in base 2	[i]
72	No (11, 139, 18)-net in base 2	[i]
73	No (11, 140, 18)-net in base 2	[i]
74	No (11, 141, 18)-net in base 2	[i]
75	No (11, 142, 18)-net in base 2	[i]
76	No (11, 143, 18)-net in base 2	[i]
77	No (11, 144, 18)-net in base 2	[i]
78	No (11, 145, 18)-net in base 2	[i]
79	No (11, 146, 18)-net in base 2	[i]
80	No (11, 147, 18)-net in base 2	[i]
81	No (11, 148, 18)-net in base 2	[i]
82	No (11, 149, 18)-net in base 2	[i]
83	No (11, 150, 18)-net in base 2	[i]
84	No (11, 151, 18)-net in base 2	[i]
85	No (11, 152, 18)-net in base 2	[i]
86	No (11, 153, 18)-net in base 2	[i]
87	No (11, 154, 18)-net in base 2	[i]
88	No (11, 155, 18)-net in base 2	[i]
89	No (11, 156, 18)-net in base 2	[i]
90	No (11, 157, 18)-net in base 2	[i]
91	No (11, 158, 18)-net in base 2	[i]
92	No (11, 159, 18)-net in base 2	[i]
93	No (11, 160, 18)-net in base 2	[i]
94	No (11, 161, 18)-net in base 2	[i]
95	No (11, 162, 18)-net in base 2	[i]
96	No (11, 163, 18)-net in base 2	[i]
97	No (11, 164, 18)-net in base 2	[i]
98	No (11, 165, 18)-net in base 2	[i]
99	No (11, 166, 18)-net in base 2	[i]
100	No (11, 167, 18)-net in base 2	[i]
101	No (11, 168, 18)-net in base 2	[i]
102	No (11, 169, 18)-net in base 2	[i]
103	No (11, 170, 18)-net in base 2	[i]
104	No (11, 171, 18)-net in base 2	[i]
105	No (11, 172, 18)-net in base 2	[i]
106	No (11, 173, 18)-net in base 2	[i]
107	No (11, 174, 18)-net in base 2	[i]
108	No (11, 175, 18)-net in base 2	[i]
109	No (11, 176, 18)-net in base 2	[i]
110	No (11, 177, 18)-net in base 2	[i]
111	No (11, 178, 18)-net in base 2	[i]
112	No (11, 179, 18)-net in base 2	[i]
113	No (11, 180, 18)-net in base 2	[i]
114	No (11, 181, 18)-net in base 2	[i]
115	No (11, 182, 18)-net in base 2	[i]
116	No (11, 183, 18)-net in base 2	[i]
117	No (11, 184, 18)-net in base 2	[i]
118	No (11, 185, 18)-net in base 2	[i]
119	No (11, 186, 18)-net in base 2	[i]
120	No (11, 187, 18)-net in base 2	[i]
121	No (11, 188, 18)-net in base 2	[i]
122	No (11, 189, 18)-net in base 2	[i]
123	No (11, 190, 18)-net in base 2	[i]
124	No (11, 191, 18)-net in base 2	[i]
125	No (11, 192, 18)-net in base 2	[i]
126	No (11, 193, 18)-net in base 2	[i]
127	No (11, 194, 18)-net in base 2	[i]
128	No (11, 195, 18)-net in base 2	[i]
129	No (11, 196, 18)-net in base 2	[i]
130	No (11, 197, 18)-net in base 2	[i]
131	No (11, 198, 18)-net in base 2	[i]
132	No (11, 199, 18)-net in base 2	[i]
133	No (11, 200, 18)-net in base 2	[i]
134	No (11, 201, 18)-net in base 2	[i]
135	No (11, 202, 18)-net in base 2	[i]
136	No (11, 203, 18)-net in base 2	[i]
137	No (11, 204, 18)-net in base 2	[i]
138	No (11, 205, 18)-net in base 2	[i]
139	No (11, 206, 18)-net in base 2	[i]
140	No (11, 207, 18)-net in base 2	[i]
141	No (11, 208, 18)-net in base 2	[i]
142	No (11, 209, 18)-net in base 2	[i]
143	No (11, 210, 18)-net in base 2	[i]
144	No (11, 211, 18)-net in base 2	[i]
145	No (11, 212, 18)-net in base 2	[i]
146	No (11, 213, 18)-net in base 2	[i]
147	No (11, 214, 18)-net in base 2	[i]
148	No (11, 215, 18)-net in base 2	[i]
149	No (11, 216, 18)-net in base 2	[i]
150	No (11, 217, 18)-net in base 2	[i]
151	No (11, 218, 18)-net in base 2	[i]
152	No (11, 219, 18)-net in base 2	[i]
153	No (11, 220, 18)-net in base 2	[i]
154	No (11, 221, 18)-net in base 2	[i]
155	No (11, 222, 18)-net in base 2	[i]
156	No (11, 223, 18)-net in base 2	[i]
157	No (11, 224, 18)-net in base 2	[i]
158	No (11, 225, 18)-net in base 2	[i]
159	No (11, 226, 18)-net in base 2	[i]
160	No (11, 227, 18)-net in base 2	[i]
161	No (11, 228, 18)-net in base 2	[i]
162	No (11, 229, 18)-net in base 2	[i]
163	No (11, 230, 18)-net in base 2	[i]
164	No (11, 231, 18)-net in base 2	[i]
165	No (11, 232, 18)-net in base 2	[i]
166	No (11, 233, 18)-net in base 2	[i]
167	No (11, 234, 18)-net in base 2	[i]
168	No (11, 235, 18)-net in base 2	[i]
169	No (11, 236, 18)-net in base 2	[i]
170	No (11, 237, 18)-net in base 2	[i]
171	No (11, 238, 18)-net in base 2	[i]
172	No (11, 239, 18)-net in base 2	[i]
173	No (11, 240, 18)-net in base 2	[i]
174	No (11, 241, 18)-net in base 2	[i]
175	No (11, 242, 18)-net in base 2	[i]
176	No (11, 243, 18)-net in base 2	[i]
177	No (11, 244, 18)-net in base 2	[i]
178	No (11, 245, 18)-net in base 2	[i]
179	No (11, 246, 18)-net in base 2	[i]
180	No (11, 247, 18)-net in base 2	[i]
181	No (11, 248, 18)-net in base 2	[i]
182	No (11, 249, 18)-net in base 2	[i]
183	No (11, 250, 18)-net in base 2	[i]
184	No (11, 251, 18)-net in base 2	[i]
185	No (11, 252, 18)-net in base 2	[i]
186	No (11, 253, 18)-net in base 2	[i]
187	No (11, 254, 18)-net in base 2	[i]
188	No (11, 255, 18)-net in base 2	[i]
189	No (11, 256, 18)-net in base 2	[i]
190	No (11, 257, 18)-net in base 2	[i]
191	No (11, 258, 18)-net in base 2	[i]
192	No (11, 259, 18)-net in base 2	[i]
193	No (11, 260, 18)-net in base 2	[i]
194	No (11, m, 18)-net in base 2 for arbitrarily large m	[i]	m-Reduction from Arbitrarily Large Net