MinT - Information on Result #520058

Information on Result #520058

There is no (6, 43, 12)-net in base 2, because extracting embedded OOA would yield OOA(2⁴³, 12, S₂, 4, 37), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 175 921860 444160 / 19 > 2⁴³ [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 (6, 44, 12)-net in base 2	[i]	m-Reduction
2	No (6, 45, 12)-net in base 2	[i]
3	No (6, 46, 12)-net in base 2	[i]
4	No (6, 47, 12)-net in base 2	[i]
5	No (6, 48, 12)-net in base 2	[i]
6	No (6, 49, 12)-net in base 2	[i]
7	No (6, 50, 12)-net in base 2	[i]
8	No (6, 51, 12)-net in base 2	[i]
9	No (6, 52, 12)-net in base 2	[i]
10	No (6, 53, 12)-net in base 2	[i]
11	No (6, 54, 12)-net in base 2	[i]
12	No (6, 55, 12)-net in base 2	[i]
13	No (6, 56, 12)-net in base 2	[i]
14	No (6, 57, 12)-net in base 2	[i]
15	No (6, 58, 12)-net in base 2	[i]
16	No (6, 59, 12)-net in base 2	[i]
17	No (6, 60, 12)-net in base 2	[i]
18	No (6, 61, 12)-net in base 2	[i]
19	No (6, 62, 12)-net in base 2	[i]
20	No (6, 63, 12)-net in base 2	[i]
21	No (6, 64, 12)-net in base 2	[i]
22	No (6, 65, 12)-net in base 2	[i]
23	No (6, 66, 12)-net in base 2	[i]
24	No (6, 67, 12)-net in base 2	[i]
25	No (6, 68, 12)-net in base 2	[i]
26	No (6, 69, 12)-net in base 2	[i]
27	No (6, 70, 12)-net in base 2	[i]
28	No (6, 71, 12)-net in base 2	[i]
29	No (6, 72, 12)-net in base 2	[i]
30	No (6, 73, 12)-net in base 2	[i]
31	No (6, 74, 12)-net in base 2	[i]
32	No (6, 75, 12)-net in base 2	[i]
33	No (6, 76, 12)-net in base 2	[i]
34	No (6, 77, 12)-net in base 2	[i]
35	No (6, 78, 12)-net in base 2	[i]
36	No (6, 79, 12)-net in base 2	[i]
37	No (6, 80, 12)-net in base 2	[i]
38	No (6, 81, 12)-net in base 2	[i]
39	No (6, 82, 12)-net in base 2	[i]
40	No (6, 83, 12)-net in base 2	[i]
41	No (6, 84, 12)-net in base 2	[i]
42	No (6, 85, 12)-net in base 2	[i]
43	No (6, 86, 12)-net in base 2	[i]
44	No (6, 87, 12)-net in base 2	[i]
45	No (6, 88, 12)-net in base 2	[i]
46	No (6, 89, 12)-net in base 2	[i]
47	No (6, 90, 12)-net in base 2	[i]
48	No (6, 91, 12)-net in base 2	[i]
49	No (6, 92, 12)-net in base 2	[i]
50	No (6, 93, 12)-net in base 2	[i]
51	No (6, 94, 12)-net in base 2	[i]
52	No (6, 95, 12)-net in base 2	[i]
53	No (6, 96, 12)-net in base 2	[i]
54	No (6, 97, 12)-net in base 2	[i]
55	No (6, 98, 12)-net in base 2	[i]
56	No (6, 99, 12)-net in base 2	[i]
57	No (6, 100, 12)-net in base 2	[i]
58	No (6, 101, 12)-net in base 2	[i]
59	No (6, 102, 12)-net in base 2	[i]
60	No (6, 103, 12)-net in base 2	[i]
61	No (6, 104, 12)-net in base 2	[i]
62	No (6, 105, 12)-net in base 2	[i]
63	No (6, 106, 12)-net in base 2	[i]
64	No (6, 107, 12)-net in base 2	[i]
65	No (6, 108, 12)-net in base 2	[i]
66	No (6, 109, 12)-net in base 2	[i]
67	No (6, 110, 12)-net in base 2	[i]
68	No (6, 111, 12)-net in base 2	[i]
69	No (6, 112, 12)-net in base 2	[i]
70	No (6, 113, 12)-net in base 2	[i]
71	No (6, 114, 12)-net in base 2	[i]
72	No (6, 115, 12)-net in base 2	[i]
73	No (6, 116, 12)-net in base 2	[i]
74	No (6, 117, 12)-net in base 2	[i]
75	No (6, 118, 12)-net in base 2	[i]
76	No (6, 119, 12)-net in base 2	[i]
77	No (6, 120, 12)-net in base 2	[i]
78	No (6, 121, 12)-net in base 2	[i]
79	No (6, 122, 12)-net in base 2	[i]
80	No (6, 123, 12)-net in base 2	[i]
81	No (6, 124, 12)-net in base 2	[i]
82	No (6, 125, 12)-net in base 2	[i]
83	No (6, 126, 12)-net in base 2	[i]
84	No (6, 127, 12)-net in base 2	[i]
85	No (6, 128, 12)-net in base 2	[i]
86	No (6, 129, 12)-net in base 2	[i]
87	No (6, 130, 12)-net in base 2	[i]
88	No (6, 131, 12)-net in base 2	[i]
89	No (6, 132, 12)-net in base 2	[i]
90	No (6, 133, 12)-net in base 2	[i]
91	No (6, 134, 12)-net in base 2	[i]
92	No (6, 135, 12)-net in base 2	[i]
93	No (6, 136, 12)-net in base 2	[i]
94	No (6, 137, 12)-net in base 2	[i]
95	No (6, 138, 12)-net in base 2	[i]
96	No (6, 139, 12)-net in base 2	[i]
97	No (6, 140, 12)-net in base 2	[i]
98	No (6, 141, 12)-net in base 2	[i]
99	No (6, 142, 12)-net in base 2	[i]
100	No (6, 143, 12)-net in base 2	[i]
101	No (6, 144, 12)-net in base 2	[i]
102	No (6, 145, 12)-net in base 2	[i]
103	No (6, 146, 12)-net in base 2	[i]
104	No (6, 147, 12)-net in base 2	[i]
105	No (6, 148, 12)-net in base 2	[i]
106	No (6, 149, 12)-net in base 2	[i]
107	No (6, 150, 12)-net in base 2	[i]
108	No (6, 151, 12)-net in base 2	[i]
109	No (6, 152, 12)-net in base 2	[i]
110	No (6, 153, 12)-net in base 2	[i]
111	No (6, 154, 12)-net in base 2	[i]
112	No (6, 155, 12)-net in base 2	[i]
113	No (6, 156, 12)-net in base 2	[i]
114	No (6, 157, 12)-net in base 2	[i]
115	No (6, 158, 12)-net in base 2	[i]
116	No (6, 159, 12)-net in base 2	[i]
117	No (6, 160, 12)-net in base 2	[i]
118	No (6, 161, 12)-net in base 2	[i]
119	No (6, 162, 12)-net in base 2	[i]
120	No (6, 163, 12)-net in base 2	[i]
121	No (6, 164, 12)-net in base 2	[i]
122	No (6, 165, 12)-net in base 2	[i]
123	No (6, 166, 12)-net in base 2	[i]
124	No (6, 167, 12)-net in base 2	[i]
125	No (6, 168, 12)-net in base 2	[i]
126	No (6, 169, 12)-net in base 2	[i]
127	No (6, 170, 12)-net in base 2	[i]
128	No (6, 171, 12)-net in base 2	[i]
129	No (6, 172, 12)-net in base 2	[i]
130	No (6, 173, 12)-net in base 2	[i]
131	No (6, 174, 12)-net in base 2	[i]
132	No (6, 175, 12)-net in base 2	[i]
133	No (6, 176, 12)-net in base 2	[i]
134	No (6, 177, 12)-net in base 2	[i]
135	No (6, 178, 12)-net in base 2	[i]
136	No (6, 179, 12)-net in base 2	[i]
137	No (6, 180, 12)-net in base 2	[i]
138	No (6, 181, 12)-net in base 2	[i]
139	No (6, 182, 12)-net in base 2	[i]
140	No (6, 183, 12)-net in base 2	[i]
141	No (6, 184, 12)-net in base 2	[i]
142	No (6, 185, 12)-net in base 2	[i]
143	No (6, 186, 12)-net in base 2	[i]
144	No (6, 187, 12)-net in base 2	[i]
145	No (6, 188, 12)-net in base 2	[i]
146	No (6, 189, 12)-net in base 2	[i]
147	No (6, 190, 12)-net in base 2	[i]
148	No (6, 191, 12)-net in base 2	[i]
149	No (6, 192, 12)-net in base 2	[i]
150	No (6, 193, 12)-net in base 2	[i]
151	No (6, 194, 12)-net in base 2	[i]
152	No (6, 195, 12)-net in base 2	[i]
153	No (6, 196, 12)-net in base 2	[i]
154	No (6, 197, 12)-net in base 2	[i]
155	No (6, 198, 12)-net in base 2	[i]
156	No (6, 199, 12)-net in base 2	[i]
157	No (6, 200, 12)-net in base 2	[i]
158	No (6, 201, 12)-net in base 2	[i]
159	No (6, 202, 12)-net in base 2	[i]
160	No (6, 203, 12)-net in base 2	[i]
161	No (6, 204, 12)-net in base 2	[i]
162	No (6, 205, 12)-net in base 2	[i]
163	No (6, 206, 12)-net in base 2	[i]
164	No (6, 207, 12)-net in base 2	[i]
165	No (6, 208, 12)-net in base 2	[i]
166	No (6, 209, 12)-net in base 2	[i]
167	No (6, 210, 12)-net in base 2	[i]
168	No (6, 211, 12)-net in base 2	[i]
169	No (6, 212, 12)-net in base 2	[i]
170	No (6, 213, 12)-net in base 2	[i]
171	No (6, 214, 12)-net in base 2	[i]
172	No (6, 215, 12)-net in base 2	[i]
173	No (6, 216, 12)-net in base 2	[i]
174	No (6, 217, 12)-net in base 2	[i]
175	No (6, 218, 12)-net in base 2	[i]
176	No (6, 219, 12)-net in base 2	[i]
177	No (6, 220, 12)-net in base 2	[i]
178	No (6, 221, 12)-net in base 2	[i]
179	No (6, 222, 12)-net in base 2	[i]
180	No (6, 223, 12)-net in base 2	[i]
181	No (6, 224, 12)-net in base 2	[i]
182	No (6, 225, 12)-net in base 2	[i]
183	No (6, 226, 12)-net in base 2	[i]
184	No (6, 227, 12)-net in base 2	[i]
185	No (6, 228, 12)-net in base 2	[i]
186	No (6, 229, 12)-net in base 2	[i]
187	No (6, 230, 12)-net in base 2	[i]
188	No (6, 231, 12)-net in base 2	[i]
189	No (6, 232, 12)-net in base 2	[i]
190	No (6, 233, 12)-net in base 2	[i]
191	No (6, 234, 12)-net in base 2	[i]
192	No (6, 235, 12)-net in base 2	[i]
193	No (6, 236, 12)-net in base 2	[i]
194	No (6, 237, 12)-net in base 2	[i]
195	No (6, 238, 12)-net in base 2	[i]
196	No (6, 239, 12)-net in base 2	[i]
197	No (6, 240, 12)-net in base 2	[i]
198	No (6, 241, 12)-net in base 2	[i]
199	No (6, 242, 12)-net in base 2	[i]
200	No (6, 243, 12)-net in base 2	[i]
201	No (6, 244, 12)-net in base 2	[i]
202	No (6, 245, 12)-net in base 2	[i]
203	No (6, 246, 12)-net in base 2	[i]
204	No (6, 247, 12)-net in base 2	[i]
205	No (6, 248, 12)-net in base 2	[i]
206	No (6, 249, 12)-net in base 2	[i]
207	No (6, 250, 12)-net in base 2	[i]
208	No (6, 251, 12)-net in base 2	[i]
209	No (6, 252, 12)-net in base 2	[i]
210	No (6, 253, 12)-net in base 2	[i]
211	No (6, 254, 12)-net in base 2	[i]
212	No (6, 255, 12)-net in base 2	[i]
213	No (6, 256, 12)-net in base 2	[i]
214	No (6, 257, 12)-net in base 2	[i]
215	No (6, 258, 12)-net in base 2	[i]
216	No (6, 259, 12)-net in base 2	[i]
217	No (6, 260, 12)-net in base 2	[i]
218	No (6, m, 12)-net in base 2 for arbitrarily large m	[i]	m-Reduction from Arbitrarily Large Net