MinT - Information on Result #520131

Information on Result #520131

There is no (14, 80, 22)-net in base 2, because extracting embedded OOA would yield OOA(2⁸⁰, 22, S₂, 4, 66), but

the LP bound with quadratic polynomials shows that MÂ â‰¥ 83 718113 008313 070348 402688 / 67 > 2⁸⁰ [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 (14, 81, 22)-net in base 2	[i]	m-Reduction
2	No (14, 82, 22)-net in base 2	[i]
3	No (14, 83, 22)-net in base 2	[i]
4	No (14, 84, 22)-net in base 2	[i]
5	No (14, 85, 22)-net in base 2	[i]
6	No (14, 86, 22)-net in base 2	[i]
7	No (14, 87, 22)-net in base 2	[i]
8	No (14, 88, 22)-net in base 2	[i]
9	No (14, 89, 22)-net in base 2	[i]
10	No (14, 90, 22)-net in base 2	[i]
11	No (14, 91, 22)-net in base 2	[i]
12	No (14, 92, 22)-net in base 2	[i]
13	No (14, 93, 22)-net in base 2	[i]
14	No (14, 94, 22)-net in base 2	[i]
15	No (14, 95, 22)-net in base 2	[i]
16	No (14, 96, 22)-net in base 2	[i]
17	No (14, 97, 22)-net in base 2	[i]
18	No (14, 98, 22)-net in base 2	[i]
19	No (14, 99, 22)-net in base 2	[i]
20	No (14, 100, 22)-net in base 2	[i]
21	No (14, 101, 22)-net in base 2	[i]
22	No (14, 102, 22)-net in base 2	[i]
23	No (14, 103, 22)-net in base 2	[i]
24	No (14, 104, 22)-net in base 2	[i]
25	No (14, 105, 22)-net in base 2	[i]
26	No (14, 106, 22)-net in base 2	[i]
27	No (14, 107, 22)-net in base 2	[i]
28	No (14, 108, 22)-net in base 2	[i]
29	No (14, 109, 22)-net in base 2	[i]
30	No (14, 110, 22)-net in base 2	[i]
31	No (14, 111, 22)-net in base 2	[i]
32	No (14, 112, 22)-net in base 2	[i]
33	No (14, 113, 22)-net in base 2	[i]
34	No (14, 114, 22)-net in base 2	[i]
35	No (14, 115, 22)-net in base 2	[i]
36	No (14, 116, 22)-net in base 2	[i]
37	No (14, 117, 22)-net in base 2	[i]
38	No (14, 118, 22)-net in base 2	[i]
39	No (14, 119, 22)-net in base 2	[i]
40	No (14, 120, 22)-net in base 2	[i]
41	No (14, 121, 22)-net in base 2	[i]
42	No (14, 122, 22)-net in base 2	[i]
43	No (14, 123, 22)-net in base 2	[i]
44	No (14, 124, 22)-net in base 2	[i]
45	No (14, 125, 22)-net in base 2	[i]
46	No (14, 126, 22)-net in base 2	[i]
47	No (14, 127, 22)-net in base 2	[i]
48	No (14, 128, 22)-net in base 2	[i]
49	No (14, 129, 22)-net in base 2	[i]
50	No (14, 130, 22)-net in base 2	[i]
51	No (14, 131, 22)-net in base 2	[i]
52	No (14, 132, 22)-net in base 2	[i]
53	No (14, 133, 22)-net in base 2	[i]
54	No (14, 134, 22)-net in base 2	[i]
55	No (14, 135, 22)-net in base 2	[i]
56	No (14, 136, 22)-net in base 2	[i]
57	No (14, 137, 22)-net in base 2	[i]
58	No (14, 138, 22)-net in base 2	[i]
59	No (14, 139, 22)-net in base 2	[i]
60	No (14, 140, 22)-net in base 2	[i]
61	No (14, 141, 22)-net in base 2	[i]
62	No (14, 142, 22)-net in base 2	[i]
63	No (14, 143, 22)-net in base 2	[i]
64	No (14, 144, 22)-net in base 2	[i]
65	No (14, 145, 22)-net in base 2	[i]
66	No (14, 146, 22)-net in base 2	[i]
67	No (14, 147, 22)-net in base 2	[i]
68	No (14, 148, 22)-net in base 2	[i]
69	No (14, 149, 22)-net in base 2	[i]
70	No (14, 150, 22)-net in base 2	[i]
71	No (14, 151, 22)-net in base 2	[i]
72	No (14, 152, 22)-net in base 2	[i]
73	No (14, 153, 22)-net in base 2	[i]
74	No (14, 154, 22)-net in base 2	[i]
75	No (14, 155, 22)-net in base 2	[i]
76	No (14, 156, 22)-net in base 2	[i]
77	No (14, 157, 22)-net in base 2	[i]
78	No (14, 158, 22)-net in base 2	[i]
79	No (14, 159, 22)-net in base 2	[i]
80	No (14, 160, 22)-net in base 2	[i]
81	No (14, 161, 22)-net in base 2	[i]
82	No (14, 162, 22)-net in base 2	[i]
83	No (14, 163, 22)-net in base 2	[i]
84	No (14, 164, 22)-net in base 2	[i]
85	No (14, 165, 22)-net in base 2	[i]
86	No (14, 166, 22)-net in base 2	[i]
87	No (14, 167, 22)-net in base 2	[i]
88	No (14, 168, 22)-net in base 2	[i]
89	No (14, 169, 22)-net in base 2	[i]
90	No (14, 170, 22)-net in base 2	[i]
91	No (14, 171, 22)-net in base 2	[i]
92	No (14, 172, 22)-net in base 2	[i]
93	No (14, 173, 22)-net in base 2	[i]
94	No (14, 174, 22)-net in base 2	[i]
95	No (14, 175, 22)-net in base 2	[i]
96	No (14, 176, 22)-net in base 2	[i]
97	No (14, 177, 22)-net in base 2	[i]
98	No (14, 178, 22)-net in base 2	[i]
99	No (14, 179, 22)-net in base 2	[i]
100	No (14, 180, 22)-net in base 2	[i]
101	No (14, 181, 22)-net in base 2	[i]
102	No (14, 182, 22)-net in base 2	[i]
103	No (14, 183, 22)-net in base 2	[i]
104	No (14, 184, 22)-net in base 2	[i]
105	No (14, 185, 22)-net in base 2	[i]
106	No (14, 186, 22)-net in base 2	[i]
107	No (14, 187, 22)-net in base 2	[i]
108	No (14, 188, 22)-net in base 2	[i]
109	No (14, 189, 22)-net in base 2	[i]
110	No (14, 190, 22)-net in base 2	[i]
111	No (14, 191, 22)-net in base 2	[i]
112	No (14, 192, 22)-net in base 2	[i]
113	No (14, 193, 22)-net in base 2	[i]
114	No (14, 194, 22)-net in base 2	[i]
115	No (14, 195, 22)-net in base 2	[i]
116	No (14, 196, 22)-net in base 2	[i]
117	No (14, 197, 22)-net in base 2	[i]
118	No (14, 198, 22)-net in base 2	[i]
119	No (14, 199, 22)-net in base 2	[i]
120	No (14, 200, 22)-net in base 2	[i]
121	No (14, 201, 22)-net in base 2	[i]
122	No (14, 202, 22)-net in base 2	[i]
123	No (14, 203, 22)-net in base 2	[i]
124	No (14, 204, 22)-net in base 2	[i]
125	No (14, 205, 22)-net in base 2	[i]
126	No (14, 206, 22)-net in base 2	[i]
127	No (14, 207, 22)-net in base 2	[i]
128	No (14, 208, 22)-net in base 2	[i]
129	No (14, 209, 22)-net in base 2	[i]
130	No (14, 210, 22)-net in base 2	[i]
131	No (14, 211, 22)-net in base 2	[i]
132	No (14, 212, 22)-net in base 2	[i]
133	No (14, 213, 22)-net in base 2	[i]
134	No (14, 214, 22)-net in base 2	[i]
135	No (14, 215, 22)-net in base 2	[i]
136	No (14, 216, 22)-net in base 2	[i]
137	No (14, 217, 22)-net in base 2	[i]
138	No (14, 218, 22)-net in base 2	[i]
139	No (14, 219, 22)-net in base 2	[i]
140	No (14, 220, 22)-net in base 2	[i]
141	No (14, 221, 22)-net in base 2	[i]
142	No (14, 222, 22)-net in base 2	[i]
143	No (14, 223, 22)-net in base 2	[i]
144	No (14, 224, 22)-net in base 2	[i]
145	No (14, 225, 22)-net in base 2	[i]
146	No (14, 226, 22)-net in base 2	[i]
147	No (14, 227, 22)-net in base 2	[i]
148	No (14, 228, 22)-net in base 2	[i]
149	No (14, 229, 22)-net in base 2	[i]
150	No (14, 230, 22)-net in base 2	[i]
151	No (14, 231, 22)-net in base 2	[i]
152	No (14, 232, 22)-net in base 2	[i]
153	No (14, 233, 22)-net in base 2	[i]
154	No (14, 234, 22)-net in base 2	[i]
155	No (14, 235, 22)-net in base 2	[i]
156	No (14, 236, 22)-net in base 2	[i]
157	No (14, 237, 22)-net in base 2	[i]
158	No (14, 238, 22)-net in base 2	[i]
159	No (14, 239, 22)-net in base 2	[i]
160	No (14, 240, 22)-net in base 2	[i]
161	No (14, 241, 22)-net in base 2	[i]
162	No (14, 242, 22)-net in base 2	[i]
163	No (14, 243, 22)-net in base 2	[i]
164	No (14, 244, 22)-net in base 2	[i]
165	No (14, 245, 22)-net in base 2	[i]
166	No (14, 246, 22)-net in base 2	[i]
167	No (14, 247, 22)-net in base 2	[i]
168	No (14, 248, 22)-net in base 2	[i]
169	No (14, 249, 22)-net in base 2	[i]
170	No (14, 250, 22)-net in base 2	[i]
171	No (14, 251, 22)-net in base 2	[i]
172	No (14, 252, 22)-net in base 2	[i]
173	No (14, 253, 22)-net in base 2	[i]
174	No (14, 254, 22)-net in base 2	[i]
175	No (14, 255, 22)-net in base 2	[i]
176	No (14, 256, 22)-net in base 2	[i]
177	No (14, 257, 22)-net in base 2	[i]
178	No (14, 258, 22)-net in base 2	[i]
179	No (14, 259, 22)-net in base 2	[i]
180	No (14, 260, 22)-net in base 2	[i]
181	No (14, m, 22)-net in base 2 for arbitrarily large m	[i]	m-Reduction from Arbitrarily Large Net