MinT - Information on Result #520040

Information on Result #520040

There is no (4, 16, 10)-net in base 2, because extracting embedded OOA would yield OOA(2¹⁶, 10, S₂, 3, 12), but

the linear programming bound for OOAs shows that MÂ â‰¥ 83807 961088 / 1 262099 > 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 (4, 17, 10)-net in base 2	[i]	m-Reduction
2	No (4, 18, 10)-net in base 2	[i]
3	No (4, 19, 10)-net in base 2	[i]
4	No (4, 20, 10)-net in base 2	[i]
5	No (4, 21, 10)-net in base 2	[i]
6	No (4, 22, 10)-net in base 2	[i]
7	No (4, 23, 10)-net in base 2	[i]
8	No (4, 24, 10)-net in base 2	[i]
9	No (4, 25, 10)-net in base 2	[i]
10	No (4, 26, 10)-net in base 2	[i]
11	No (4, 27, 10)-net in base 2	[i]
12	No (4, 28, 10)-net in base 2	[i]
13	No (4, 29, 10)-net in base 2	[i]
14	No (4, 30, 10)-net in base 2	[i]
15	No (4, 31, 10)-net in base 2	[i]
16	No (4, 32, 10)-net in base 2	[i]
17	No (4, 33, 10)-net in base 2	[i]
18	No (4, 34, 10)-net in base 2	[i]
19	No (4, 35, 10)-net in base 2	[i]
20	No (4, 36, 10)-net in base 2	[i]
21	No (4, 37, 10)-net in base 2	[i]
22	No (4, 38, 10)-net in base 2	[i]
23	No (4, 39, 10)-net in base 2	[i]
24	No (4, 40, 10)-net in base 2	[i]
25	No (4, 41, 10)-net in base 2	[i]
26	No (4, 42, 10)-net in base 2	[i]
27	No (4, 43, 10)-net in base 2	[i]
28	No (4, 44, 10)-net in base 2	[i]
29	No (4, 45, 10)-net in base 2	[i]
30	No (4, 46, 10)-net in base 2	[i]
31	No (4, 47, 10)-net in base 2	[i]
32	No (4, 48, 10)-net in base 2	[i]
33	No (4, 49, 10)-net in base 2	[i]
34	No (4, 50, 10)-net in base 2	[i]
35	No (4, 51, 10)-net in base 2	[i]
36	No (4, 52, 10)-net in base 2	[i]
37	No (4, 53, 10)-net in base 2	[i]
38	No (4, 54, 10)-net in base 2	[i]
39	No (4, 55, 10)-net in base 2	[i]
40	No (4, 56, 10)-net in base 2	[i]
41	No (4, 57, 10)-net in base 2	[i]
42	No (4, 58, 10)-net in base 2	[i]
43	No (4, 59, 10)-net in base 2	[i]
44	No (4, 60, 10)-net in base 2	[i]
45	No (4, 61, 10)-net in base 2	[i]
46	No (4, 62, 10)-net in base 2	[i]
47	No (4, 63, 10)-net in base 2	[i]
48	No (4, 64, 10)-net in base 2	[i]
49	No (4, 65, 10)-net in base 2	[i]
50	No (4, 66, 10)-net in base 2	[i]
51	No (4, 67, 10)-net in base 2	[i]
52	No (4, 68, 10)-net in base 2	[i]
53	No (4, 69, 10)-net in base 2	[i]
54	No (4, 70, 10)-net in base 2	[i]
55	No (4, 71, 10)-net in base 2	[i]
56	No (4, 72, 10)-net in base 2	[i]
57	No (4, 73, 10)-net in base 2	[i]
58	No (4, 74, 10)-net in base 2	[i]
59	No (4, 75, 10)-net in base 2	[i]
60	No (4, 76, 10)-net in base 2	[i]
61	No (4, 77, 10)-net in base 2	[i]
62	No (4, 78, 10)-net in base 2	[i]
63	No (4, 79, 10)-net in base 2	[i]
64	No (4, 80, 10)-net in base 2	[i]
65	No (4, 81, 10)-net in base 2	[i]
66	No (4, 82, 10)-net in base 2	[i]
67	No (4, 83, 10)-net in base 2	[i]
68	No (4, 84, 10)-net in base 2	[i]
69	No (4, 85, 10)-net in base 2	[i]
70	No (4, 86, 10)-net in base 2	[i]
71	No (4, 87, 10)-net in base 2	[i]
72	No (4, 88, 10)-net in base 2	[i]
73	No (4, 89, 10)-net in base 2	[i]
74	No (4, 90, 10)-net in base 2	[i]
75	No (4, 91, 10)-net in base 2	[i]
76	No (4, 92, 10)-net in base 2	[i]
77	No (4, 93, 10)-net in base 2	[i]
78	No (4, 94, 10)-net in base 2	[i]
79	No (4, 95, 10)-net in base 2	[i]
80	No (4, 96, 10)-net in base 2	[i]
81	No (4, 97, 10)-net in base 2	[i]
82	No (4, 98, 10)-net in base 2	[i]
83	No (4, 99, 10)-net in base 2	[i]
84	No (4, 100, 10)-net in base 2	[i]
85	No (4, 101, 10)-net in base 2	[i]
86	No (4, 102, 10)-net in base 2	[i]
87	No (4, 103, 10)-net in base 2	[i]
88	No (4, 104, 10)-net in base 2	[i]
89	No (4, 105, 10)-net in base 2	[i]
90	No (4, 106, 10)-net in base 2	[i]
91	No (4, 107, 10)-net in base 2	[i]
92	No (4, 108, 10)-net in base 2	[i]
93	No (4, 109, 10)-net in base 2	[i]
94	No (4, 110, 10)-net in base 2	[i]
95	No (4, 111, 10)-net in base 2	[i]
96	No (4, 112, 10)-net in base 2	[i]
97	No (4, 113, 10)-net in base 2	[i]
98	No (4, 114, 10)-net in base 2	[i]
99	No (4, 115, 10)-net in base 2	[i]
100	No (4, 116, 10)-net in base 2	[i]
101	No (4, 117, 10)-net in base 2	[i]
102	No (4, 118, 10)-net in base 2	[i]
103	No (4, 119, 10)-net in base 2	[i]
104	No (4, 120, 10)-net in base 2	[i]
105	No (4, 121, 10)-net in base 2	[i]
106	No (4, 122, 10)-net in base 2	[i]
107	No (4, 123, 10)-net in base 2	[i]
108	No (4, 124, 10)-net in base 2	[i]
109	No (4, 125, 10)-net in base 2	[i]
110	No (4, 126, 10)-net in base 2	[i]
111	No (4, 127, 10)-net in base 2	[i]
112	No (4, 128, 10)-net in base 2	[i]
113	No (4, 129, 10)-net in base 2	[i]
114	No (4, 130, 10)-net in base 2	[i]
115	No (4, 131, 10)-net in base 2	[i]
116	No (4, 132, 10)-net in base 2	[i]
117	No (4, 133, 10)-net in base 2	[i]
118	No (4, 134, 10)-net in base 2	[i]
119	No (4, 135, 10)-net in base 2	[i]
120	No (4, 136, 10)-net in base 2	[i]
121	No (4, 137, 10)-net in base 2	[i]
122	No (4, 138, 10)-net in base 2	[i]
123	No (4, 139, 10)-net in base 2	[i]
124	No (4, 140, 10)-net in base 2	[i]
125	No (4, 141, 10)-net in base 2	[i]
126	No (4, 142, 10)-net in base 2	[i]
127	No (4, 143, 10)-net in base 2	[i]
128	No (4, 144, 10)-net in base 2	[i]
129	No (4, 145, 10)-net in base 2	[i]
130	No (4, 146, 10)-net in base 2	[i]
131	No (4, 147, 10)-net in base 2	[i]
132	No (4, 148, 10)-net in base 2	[i]
133	No (4, 149, 10)-net in base 2	[i]
134	No (4, 150, 10)-net in base 2	[i]
135	No (4, 151, 10)-net in base 2	[i]
136	No (4, 152, 10)-net in base 2	[i]
137	No (4, 153, 10)-net in base 2	[i]
138	No (4, 154, 10)-net in base 2	[i]
139	No (4, 155, 10)-net in base 2	[i]
140	No (4, 156, 10)-net in base 2	[i]
141	No (4, 157, 10)-net in base 2	[i]
142	No (4, 158, 10)-net in base 2	[i]
143	No (4, 159, 10)-net in base 2	[i]
144	No (4, 160, 10)-net in base 2	[i]
145	No (4, 161, 10)-net in base 2	[i]
146	No (4, 162, 10)-net in base 2	[i]
147	No (4, 163, 10)-net in base 2	[i]
148	No (4, 164, 10)-net in base 2	[i]
149	No (4, 165, 10)-net in base 2	[i]
150	No (4, 166, 10)-net in base 2	[i]
151	No (4, 167, 10)-net in base 2	[i]
152	No (4, 168, 10)-net in base 2	[i]
153	No (4, 169, 10)-net in base 2	[i]
154	No (4, 170, 10)-net in base 2	[i]
155	No (4, 171, 10)-net in base 2	[i]
156	No (4, 172, 10)-net in base 2	[i]
157	No (4, 173, 10)-net in base 2	[i]
158	No (4, 174, 10)-net in base 2	[i]
159	No (4, 175, 10)-net in base 2	[i]
160	No (4, 176, 10)-net in base 2	[i]
161	No (4, 177, 10)-net in base 2	[i]
162	No (4, 178, 10)-net in base 2	[i]
163	No (4, 179, 10)-net in base 2	[i]
164	No (4, 180, 10)-net in base 2	[i]
165	No (4, 181, 10)-net in base 2	[i]
166	No (4, 182, 10)-net in base 2	[i]
167	No (4, 183, 10)-net in base 2	[i]
168	No (4, 184, 10)-net in base 2	[i]
169	No (4, 185, 10)-net in base 2	[i]
170	No (4, 186, 10)-net in base 2	[i]
171	No (4, 187, 10)-net in base 2	[i]
172	No (4, 188, 10)-net in base 2	[i]
173	No (4, 189, 10)-net in base 2	[i]
174	No (4, 190, 10)-net in base 2	[i]
175	No (4, 191, 10)-net in base 2	[i]
176	No (4, 192, 10)-net in base 2	[i]
177	No (4, 193, 10)-net in base 2	[i]
178	No (4, 194, 10)-net in base 2	[i]
179	No (4, 195, 10)-net in base 2	[i]
180	No (4, 196, 10)-net in base 2	[i]
181	No (4, 197, 10)-net in base 2	[i]
182	No (4, 198, 10)-net in base 2	[i]
183	No (4, 199, 10)-net in base 2	[i]
184	No (4, 200, 10)-net in base 2	[i]
185	No (4, 201, 10)-net in base 2	[i]
186	No (4, 202, 10)-net in base 2	[i]
187	No (4, 203, 10)-net in base 2	[i]
188	No (4, 204, 10)-net in base 2	[i]
189	No (4, 205, 10)-net in base 2	[i]
190	No (4, 206, 10)-net in base 2	[i]
191	No (4, 207, 10)-net in base 2	[i]
192	No (4, 208, 10)-net in base 2	[i]
193	No (4, 209, 10)-net in base 2	[i]
194	No (4, 210, 10)-net in base 2	[i]
195	No (4, 211, 10)-net in base 2	[i]
196	No (4, 212, 10)-net in base 2	[i]
197	No (4, 213, 10)-net in base 2	[i]
198	No (4, 214, 10)-net in base 2	[i]
199	No (4, 215, 10)-net in base 2	[i]
200	No (4, 216, 10)-net in base 2	[i]
201	No (4, 217, 10)-net in base 2	[i]
202	No (4, 218, 10)-net in base 2	[i]
203	No (4, 219, 10)-net in base 2	[i]
204	No (4, 220, 10)-net in base 2	[i]
205	No (4, 221, 10)-net in base 2	[i]
206	No (4, 222, 10)-net in base 2	[i]
207	No (4, 223, 10)-net in base 2	[i]
208	No (4, 224, 10)-net in base 2	[i]
209	No (4, 225, 10)-net in base 2	[i]
210	No (4, 226, 10)-net in base 2	[i]
211	No (4, 227, 10)-net in base 2	[i]
212	No (4, 228, 10)-net in base 2	[i]
213	No (4, 229, 10)-net in base 2	[i]
214	No (4, 230, 10)-net in base 2	[i]
215	No (4, 231, 10)-net in base 2	[i]
216	No (4, 232, 10)-net in base 2	[i]
217	No (4, 233, 10)-net in base 2	[i]
218	No (4, 234, 10)-net in base 2	[i]
219	No (4, 235, 10)-net in base 2	[i]
220	No (4, 236, 10)-net in base 2	[i]
221	No (4, 237, 10)-net in base 2	[i]
222	No (4, 238, 10)-net in base 2	[i]
223	No (4, 239, 10)-net in base 2	[i]
224	No (4, 240, 10)-net in base 2	[i]
225	No (4, 241, 10)-net in base 2	[i]
226	No (4, 242, 10)-net in base 2	[i]
227	No (4, 243, 10)-net in base 2	[i]
228	No (4, 244, 10)-net in base 2	[i]
229	No (4, 245, 10)-net in base 2	[i]
230	No (4, 246, 10)-net in base 2	[i]
231	No (4, 247, 10)-net in base 2	[i]
232	No (4, 248, 10)-net in base 2	[i]
233	No (4, 249, 10)-net in base 2	[i]
234	No (4, 250, 10)-net in base 2	[i]
235	No (4, 251, 10)-net in base 2	[i]
236	No (4, 252, 10)-net in base 2	[i]
237	No (4, 253, 10)-net in base 2	[i]
238	No (4, 254, 10)-net in base 2	[i]
239	No (4, 255, 10)-net in base 2	[i]
240	No (4, 256, 10)-net in base 2	[i]
241	No (4, 257, 10)-net in base 2	[i]
242	No (4, 258, 10)-net in base 2	[i]
243	No (4, 259, 10)-net in base 2	[i]
244	No (4, 260, 10)-net in base 2	[i]
245	No (4, m, 10)-net in base 2 for arbitrarily large m	[i]	m-Reduction from Arbitrarily Large Net