MinT - Information on Result #520033

Information on Result #520033

There is no (3, 16, 8)-net in base 2, because extracting embedded OOA would yield OOA(2¹⁶, 8, S₂, 4, 13), but

the linear programming bound for OOAs shows that MÂ â‰¥ 33 246619 995147 141120 / 498 007000 776397 > 2¹⁶ [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 (3, 17, 8)-net in base 2	[i]	m-Reduction
2	No (3, 18, 8)-net in base 2	[i]
3	No (3, 19, 8)-net in base 2	[i]
4	No (3, 20, 8)-net in base 2	[i]
5	No (3, 21, 8)-net in base 2	[i]
6	No (3, 22, 8)-net in base 2	[i]
7	No (3, 23, 8)-net in base 2	[i]
8	No (3, 24, 8)-net in base 2	[i]
9	No (3, 25, 8)-net in base 2	[i]
10	No (3, 26, 8)-net in base 2	[i]
11	No (3, 27, 8)-net in base 2	[i]
12	No (3, 28, 8)-net in base 2	[i]
13	No (3, 29, 8)-net in base 2	[i]
14	No (3, 30, 8)-net in base 2	[i]
15	No (3, 31, 8)-net in base 2	[i]
16	No (3, 32, 8)-net in base 2	[i]
17	No (3, 33, 8)-net in base 2	[i]
18	No (3, 34, 8)-net in base 2	[i]
19	No (3, 35, 8)-net in base 2	[i]
20	No (3, 36, 8)-net in base 2	[i]
21	No (3, 37, 8)-net in base 2	[i]
22	No (3, 38, 8)-net in base 2	[i]
23	No (3, 39, 8)-net in base 2	[i]
24	No (3, 40, 8)-net in base 2	[i]
25	No (3, 41, 8)-net in base 2	[i]
26	No (3, 42, 8)-net in base 2	[i]
27	No (3, 43, 8)-net in base 2	[i]
28	No (3, 44, 8)-net in base 2	[i]
29	No (3, 45, 8)-net in base 2	[i]
30	No (3, 46, 8)-net in base 2	[i]
31	No (3, 47, 8)-net in base 2	[i]
32	No (3, 48, 8)-net in base 2	[i]
33	No (3, 49, 8)-net in base 2	[i]
34	No (3, 50, 8)-net in base 2	[i]
35	No (3, 51, 8)-net in base 2	[i]
36	No (3, 52, 8)-net in base 2	[i]
37	No (3, 53, 8)-net in base 2	[i]
38	No (3, 54, 8)-net in base 2	[i]
39	No (3, 55, 8)-net in base 2	[i]
40	No (3, 56, 8)-net in base 2	[i]
41	No (3, 57, 8)-net in base 2	[i]
42	No (3, 58, 8)-net in base 2	[i]
43	No (3, 59, 8)-net in base 2	[i]
44	No (3, 60, 8)-net in base 2	[i]
45	No (3, 61, 8)-net in base 2	[i]
46	No (3, 62, 8)-net in base 2	[i]
47	No (3, 63, 8)-net in base 2	[i]
48	No (3, 64, 8)-net in base 2	[i]
49	No (3, 65, 8)-net in base 2	[i]
50	No (3, 66, 8)-net in base 2	[i]
51	No (3, 67, 8)-net in base 2	[i]
52	No (3, 68, 8)-net in base 2	[i]
53	No (3, 69, 8)-net in base 2	[i]
54	No (3, 70, 8)-net in base 2	[i]
55	No (3, 71, 8)-net in base 2	[i]
56	No (3, 72, 8)-net in base 2	[i]
57	No (3, 73, 8)-net in base 2	[i]
58	No (3, 74, 8)-net in base 2	[i]
59	No (3, 75, 8)-net in base 2	[i]
60	No (3, 76, 8)-net in base 2	[i]
61	No (3, 77, 8)-net in base 2	[i]
62	No (3, 78, 8)-net in base 2	[i]
63	No (3, 79, 8)-net in base 2	[i]
64	No (3, 80, 8)-net in base 2	[i]
65	No (3, 81, 8)-net in base 2	[i]
66	No (3, 82, 8)-net in base 2	[i]
67	No (3, 83, 8)-net in base 2	[i]
68	No (3, 84, 8)-net in base 2	[i]
69	No (3, 85, 8)-net in base 2	[i]
70	No (3, 86, 8)-net in base 2	[i]
71	No (3, 87, 8)-net in base 2	[i]
72	No (3, 88, 8)-net in base 2	[i]
73	No (3, 89, 8)-net in base 2	[i]
74	No (3, 90, 8)-net in base 2	[i]
75	No (3, 91, 8)-net in base 2	[i]
76	No (3, 92, 8)-net in base 2	[i]
77	No (3, 93, 8)-net in base 2	[i]
78	No (3, 94, 8)-net in base 2	[i]
79	No (3, 95, 8)-net in base 2	[i]
80	No (3, 96, 8)-net in base 2	[i]
81	No (3, 97, 8)-net in base 2	[i]
82	No (3, 98, 8)-net in base 2	[i]
83	No (3, 99, 8)-net in base 2	[i]
84	No (3, 100, 8)-net in base 2	[i]
85	No (3, 101, 8)-net in base 2	[i]
86	No (3, 102, 8)-net in base 2	[i]
87	No (3, 103, 8)-net in base 2	[i]
88	No (3, 104, 8)-net in base 2	[i]
89	No (3, 105, 8)-net in base 2	[i]
90	No (3, 106, 8)-net in base 2	[i]
91	No (3, 107, 8)-net in base 2	[i]
92	No (3, 108, 8)-net in base 2	[i]
93	No (3, 109, 8)-net in base 2	[i]
94	No (3, 110, 8)-net in base 2	[i]
95	No (3, 111, 8)-net in base 2	[i]
96	No (3, 112, 8)-net in base 2	[i]
97	No (3, 113, 8)-net in base 2	[i]
98	No (3, 114, 8)-net in base 2	[i]
99	No (3, 115, 8)-net in base 2	[i]
100	No (3, 116, 8)-net in base 2	[i]
101	No (3, 117, 8)-net in base 2	[i]
102	No (3, 118, 8)-net in base 2	[i]
103	No (3, 119, 8)-net in base 2	[i]
104	No (3, 120, 8)-net in base 2	[i]
105	No (3, 121, 8)-net in base 2	[i]
106	No (3, 122, 8)-net in base 2	[i]
107	No (3, 123, 8)-net in base 2	[i]
108	No (3, 124, 8)-net in base 2	[i]
109	No (3, 125, 8)-net in base 2	[i]
110	No (3, 126, 8)-net in base 2	[i]
111	No (3, 127, 8)-net in base 2	[i]
112	No (3, 128, 8)-net in base 2	[i]
113	No (3, 129, 8)-net in base 2	[i]
114	No (3, 130, 8)-net in base 2	[i]
115	No (3, 131, 8)-net in base 2	[i]
116	No (3, 132, 8)-net in base 2	[i]
117	No (3, 133, 8)-net in base 2	[i]
118	No (3, 134, 8)-net in base 2	[i]
119	No (3, 135, 8)-net in base 2	[i]
120	No (3, 136, 8)-net in base 2	[i]
121	No (3, 137, 8)-net in base 2	[i]
122	No (3, 138, 8)-net in base 2	[i]
123	No (3, 139, 8)-net in base 2	[i]
124	No (3, 140, 8)-net in base 2	[i]
125	No (3, 141, 8)-net in base 2	[i]
126	No (3, 142, 8)-net in base 2	[i]
127	No (3, 143, 8)-net in base 2	[i]
128	No (3, 144, 8)-net in base 2	[i]
129	No (3, 145, 8)-net in base 2	[i]
130	No (3, 146, 8)-net in base 2	[i]
131	No (3, 147, 8)-net in base 2	[i]
132	No (3, 148, 8)-net in base 2	[i]
133	No (3, 149, 8)-net in base 2	[i]
134	No (3, 150, 8)-net in base 2	[i]
135	No (3, 151, 8)-net in base 2	[i]
136	No (3, 152, 8)-net in base 2	[i]
137	No (3, 153, 8)-net in base 2	[i]
138	No (3, 154, 8)-net in base 2	[i]
139	No (3, 155, 8)-net in base 2	[i]
140	No (3, 156, 8)-net in base 2	[i]
141	No (3, 157, 8)-net in base 2	[i]
142	No (3, 158, 8)-net in base 2	[i]
143	No (3, 159, 8)-net in base 2	[i]
144	No (3, 160, 8)-net in base 2	[i]
145	No (3, 161, 8)-net in base 2	[i]
146	No (3, 162, 8)-net in base 2	[i]
147	No (3, 163, 8)-net in base 2	[i]
148	No (3, 164, 8)-net in base 2	[i]
149	No (3, 165, 8)-net in base 2	[i]
150	No (3, 166, 8)-net in base 2	[i]
151	No (3, 167, 8)-net in base 2	[i]
152	No (3, 168, 8)-net in base 2	[i]
153	No (3, 169, 8)-net in base 2	[i]
154	No (3, 170, 8)-net in base 2	[i]
155	No (3, 171, 8)-net in base 2	[i]
156	No (3, 172, 8)-net in base 2	[i]
157	No (3, 173, 8)-net in base 2	[i]
158	No (3, 174, 8)-net in base 2	[i]
159	No (3, 175, 8)-net in base 2	[i]
160	No (3, 176, 8)-net in base 2	[i]
161	No (3, 177, 8)-net in base 2	[i]
162	No (3, 178, 8)-net in base 2	[i]
163	No (3, 179, 8)-net in base 2	[i]
164	No (3, 180, 8)-net in base 2	[i]
165	No (3, 181, 8)-net in base 2	[i]
166	No (3, 182, 8)-net in base 2	[i]
167	No (3, 183, 8)-net in base 2	[i]
168	No (3, 184, 8)-net in base 2	[i]
169	No (3, 185, 8)-net in base 2	[i]
170	No (3, 186, 8)-net in base 2	[i]
171	No (3, 187, 8)-net in base 2	[i]
172	No (3, 188, 8)-net in base 2	[i]
173	No (3, 189, 8)-net in base 2	[i]
174	No (3, 190, 8)-net in base 2	[i]
175	No (3, 191, 8)-net in base 2	[i]
176	No (3, 192, 8)-net in base 2	[i]
177	No (3, 193, 8)-net in base 2	[i]
178	No (3, 194, 8)-net in base 2	[i]
179	No (3, 195, 8)-net in base 2	[i]
180	No (3, 196, 8)-net in base 2	[i]
181	No (3, 197, 8)-net in base 2	[i]
182	No (3, 198, 8)-net in base 2	[i]
183	No (3, 199, 8)-net in base 2	[i]
184	No (3, 200, 8)-net in base 2	[i]
185	No (3, 201, 8)-net in base 2	[i]
186	No (3, 202, 8)-net in base 2	[i]
187	No (3, 203, 8)-net in base 2	[i]
188	No (3, 204, 8)-net in base 2	[i]
189	No (3, 205, 8)-net in base 2	[i]
190	No (3, 206, 8)-net in base 2	[i]
191	No (3, 207, 8)-net in base 2	[i]
192	No (3, 208, 8)-net in base 2	[i]
193	No (3, 209, 8)-net in base 2	[i]
194	No (3, 210, 8)-net in base 2	[i]
195	No (3, 211, 8)-net in base 2	[i]
196	No (3, 212, 8)-net in base 2	[i]
197	No (3, 213, 8)-net in base 2	[i]
198	No (3, 214, 8)-net in base 2	[i]
199	No (3, 215, 8)-net in base 2	[i]
200	No (3, 216, 8)-net in base 2	[i]
201	No (3, 217, 8)-net in base 2	[i]
202	No (3, 218, 8)-net in base 2	[i]
203	No (3, 219, 8)-net in base 2	[i]
204	No (3, 220, 8)-net in base 2	[i]
205	No (3, 221, 8)-net in base 2	[i]
206	No (3, 222, 8)-net in base 2	[i]
207	No (3, 223, 8)-net in base 2	[i]
208	No (3, 224, 8)-net in base 2	[i]
209	No (3, 225, 8)-net in base 2	[i]
210	No (3, 226, 8)-net in base 2	[i]
211	No (3, 227, 8)-net in base 2	[i]
212	No (3, 228, 8)-net in base 2	[i]
213	No (3, 229, 8)-net in base 2	[i]
214	No (3, 230, 8)-net in base 2	[i]
215	No (3, 231, 8)-net in base 2	[i]
216	No (3, 232, 8)-net in base 2	[i]
217	No (3, 233, 8)-net in base 2	[i]
218	No (3, 234, 8)-net in base 2	[i]
219	No (3, 235, 8)-net in base 2	[i]
220	No (3, 236, 8)-net in base 2	[i]
221	No (3, 237, 8)-net in base 2	[i]
222	No (3, 238, 8)-net in base 2	[i]
223	No (3, 239, 8)-net in base 2	[i]
224	No (3, 240, 8)-net in base 2	[i]
225	No (3, 241, 8)-net in base 2	[i]
226	No (3, 242, 8)-net in base 2	[i]
227	No (3, 243, 8)-net in base 2	[i]
228	No (3, 244, 8)-net in base 2	[i]
229	No (3, 245, 8)-net in base 2	[i]
230	No (3, 246, 8)-net in base 2	[i]
231	No (3, 247, 8)-net in base 2	[i]
232	No (3, 248, 8)-net in base 2	[i]
233	No (3, 249, 8)-net in base 2	[i]
234	No (3, 250, 8)-net in base 2	[i]
235	No (3, 251, 8)-net in base 2	[i]
236	No (3, 252, 8)-net in base 2	[i]
237	No (3, 253, 8)-net in base 2	[i]
238	No (3, 254, 8)-net in base 2	[i]
239	No (3, 255, 8)-net in base 2	[i]
240	No (3, 256, 8)-net in base 2	[i]
241	No (3, 257, 8)-net in base 2	[i]
242	No (3, 258, 8)-net in base 2	[i]
243	No (3, 259, 8)-net in base 2	[i]
244	No (3, 260, 8)-net in base 2	[i]
245	No (3, m, 8)-net in base 2 for arbitrarily large m	[i]	m-Reduction from Arbitrarily Large Net