MinT - Information on Result #520143

Information on Result #520143

There is no (16, 90, 24)-net in base 2, because extracting embedded OOA would yield OOA(2⁹⁰, 24, S₂, 4, 74), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 39614 081257 132168 796771 975168 / 25 > 2⁹⁰ [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 (16, 91, 24)-net in base 2	[i]	m-Reduction
2	No (16, 92, 24)-net in base 2	[i]
3	No (16, 93, 24)-net in base 2	[i]
4	No (16, 94, 24)-net in base 2	[i]
5	No (16, 95, 24)-net in base 2	[i]
6	No (16, 96, 24)-net in base 2	[i]
7	No (16, 97, 24)-net in base 2	[i]
8	No (16, 98, 24)-net in base 2	[i]
9	No (16, 99, 24)-net in base 2	[i]
10	No (16, 100, 24)-net in base 2	[i]
11	No (16, 101, 24)-net in base 2	[i]
12	No (16, 102, 24)-net in base 2	[i]
13	No (16, 103, 24)-net in base 2	[i]
14	No (16, 104, 24)-net in base 2	[i]
15	No (16, 105, 24)-net in base 2	[i]
16	No (16, 106, 24)-net in base 2	[i]
17	No (16, 107, 24)-net in base 2	[i]
18	No (16, 108, 24)-net in base 2	[i]
19	No (16, 109, 24)-net in base 2	[i]
20	No (16, 110, 24)-net in base 2	[i]
21	No (16, 111, 24)-net in base 2	[i]
22	No (16, 112, 24)-net in base 2	[i]
23	No (16, 113, 24)-net in base 2	[i]
24	No (16, 114, 24)-net in base 2	[i]
25	No (16, 115, 24)-net in base 2	[i]
26	No (16, 116, 24)-net in base 2	[i]
27	No (16, 117, 24)-net in base 2	[i]
28	No (16, 118, 24)-net in base 2	[i]
29	No (16, 119, 24)-net in base 2	[i]
30	No (16, 120, 24)-net in base 2	[i]
31	No (16, 121, 24)-net in base 2	[i]
32	No (16, 122, 24)-net in base 2	[i]
33	No (16, 123, 24)-net in base 2	[i]
34	No (16, 124, 24)-net in base 2	[i]
35	No (16, 125, 24)-net in base 2	[i]
36	No (16, 126, 24)-net in base 2	[i]
37	No (16, 127, 24)-net in base 2	[i]
38	No (16, 128, 24)-net in base 2	[i]
39	No (16, 129, 24)-net in base 2	[i]
40	No (16, 130, 24)-net in base 2	[i]
41	No (16, 131, 24)-net in base 2	[i]
42	No (16, 132, 24)-net in base 2	[i]
43	No (16, 133, 24)-net in base 2	[i]
44	No (16, 134, 24)-net in base 2	[i]
45	No (16, 135, 24)-net in base 2	[i]
46	No (16, 136, 24)-net in base 2	[i]
47	No (16, 137, 24)-net in base 2	[i]
48	No (16, 138, 24)-net in base 2	[i]
49	No (16, 139, 24)-net in base 2	[i]
50	No (16, 140, 24)-net in base 2	[i]
51	No (16, 141, 24)-net in base 2	[i]
52	No (16, 142, 24)-net in base 2	[i]
53	No (16, 143, 24)-net in base 2	[i]
54	No (16, 144, 24)-net in base 2	[i]
55	No (16, 145, 24)-net in base 2	[i]
56	No (16, 146, 24)-net in base 2	[i]
57	No (16, 147, 24)-net in base 2	[i]
58	No (16, 148, 24)-net in base 2	[i]
59	No (16, 149, 24)-net in base 2	[i]
60	No (16, 150, 24)-net in base 2	[i]
61	No (16, 151, 24)-net in base 2	[i]
62	No (16, 152, 24)-net in base 2	[i]
63	No (16, 153, 24)-net in base 2	[i]
64	No (16, 154, 24)-net in base 2	[i]
65	No (16, 155, 24)-net in base 2	[i]
66	No (16, 156, 24)-net in base 2	[i]
67	No (16, 157, 24)-net in base 2	[i]
68	No (16, 158, 24)-net in base 2	[i]
69	No (16, 159, 24)-net in base 2	[i]
70	No (16, 160, 24)-net in base 2	[i]
71	No (16, 161, 24)-net in base 2	[i]
72	No (16, 162, 24)-net in base 2	[i]
73	No (16, 163, 24)-net in base 2	[i]
74	No (16, 164, 24)-net in base 2	[i]
75	No (16, 165, 24)-net in base 2	[i]
76	No (16, 166, 24)-net in base 2	[i]
77	No (16, 167, 24)-net in base 2	[i]
78	No (16, 168, 24)-net in base 2	[i]
79	No (16, 169, 24)-net in base 2	[i]
80	No (16, 170, 24)-net in base 2	[i]
81	No (16, 171, 24)-net in base 2	[i]
82	No (16, 172, 24)-net in base 2	[i]
83	No (16, 173, 24)-net in base 2	[i]
84	No (16, 174, 24)-net in base 2	[i]
85	No (16, 175, 24)-net in base 2	[i]
86	No (16, 176, 24)-net in base 2	[i]
87	No (16, 177, 24)-net in base 2	[i]
88	No (16, 178, 24)-net in base 2	[i]
89	No (16, 179, 24)-net in base 2	[i]
90	No (16, 180, 24)-net in base 2	[i]
91	No (16, 181, 24)-net in base 2	[i]
92	No (16, 182, 24)-net in base 2	[i]
93	No (16, 183, 24)-net in base 2	[i]
94	No (16, 184, 24)-net in base 2	[i]
95	No (16, 185, 24)-net in base 2	[i]
96	No (16, 186, 24)-net in base 2	[i]
97	No (16, 187, 24)-net in base 2	[i]
98	No (16, 188, 24)-net in base 2	[i]
99	No (16, 189, 24)-net in base 2	[i]
100	No (16, 190, 24)-net in base 2	[i]
101	No (16, 191, 24)-net in base 2	[i]
102	No (16, 192, 24)-net in base 2	[i]
103	No (16, 193, 24)-net in base 2	[i]
104	No (16, 194, 24)-net in base 2	[i]
105	No (16, 195, 24)-net in base 2	[i]
106	No (16, 196, 24)-net in base 2	[i]
107	No (16, 197, 24)-net in base 2	[i]
108	No (16, 198, 24)-net in base 2	[i]
109	No (16, 199, 24)-net in base 2	[i]
110	No (16, 200, 24)-net in base 2	[i]
111	No (16, 201, 24)-net in base 2	[i]
112	No (16, 202, 24)-net in base 2	[i]
113	No (16, 203, 24)-net in base 2	[i]
114	No (16, 204, 24)-net in base 2	[i]
115	No (16, 205, 24)-net in base 2	[i]
116	No (16, 206, 24)-net in base 2	[i]
117	No (16, 207, 24)-net in base 2	[i]
118	No (16, 208, 24)-net in base 2	[i]
119	No (16, 209, 24)-net in base 2	[i]
120	No (16, 210, 24)-net in base 2	[i]
121	No (16, 211, 24)-net in base 2	[i]
122	No (16, 212, 24)-net in base 2	[i]
123	No (16, 213, 24)-net in base 2	[i]
124	No (16, 214, 24)-net in base 2	[i]
125	No (16, 215, 24)-net in base 2	[i]
126	No (16, 216, 24)-net in base 2	[i]
127	No (16, 217, 24)-net in base 2	[i]
128	No (16, 218, 24)-net in base 2	[i]
129	No (16, 219, 24)-net in base 2	[i]
130	No (16, 220, 24)-net in base 2	[i]
131	No (16, 221, 24)-net in base 2	[i]
132	No (16, 222, 24)-net in base 2	[i]
133	No (16, 223, 24)-net in base 2	[i]
134	No (16, 224, 24)-net in base 2	[i]
135	No (16, 225, 24)-net in base 2	[i]
136	No (16, 226, 24)-net in base 2	[i]
137	No (16, 227, 24)-net in base 2	[i]
138	No (16, 228, 24)-net in base 2	[i]
139	No (16, 229, 24)-net in base 2	[i]
140	No (16, 230, 24)-net in base 2	[i]
141	No (16, 231, 24)-net in base 2	[i]
142	No (16, 232, 24)-net in base 2	[i]
143	No (16, 233, 24)-net in base 2	[i]
144	No (16, 234, 24)-net in base 2	[i]
145	No (16, 235, 24)-net in base 2	[i]
146	No (16, 236, 24)-net in base 2	[i]
147	No (16, 237, 24)-net in base 2	[i]
148	No (16, 238, 24)-net in base 2	[i]
149	No (16, 239, 24)-net in base 2	[i]
150	No (16, 240, 24)-net in base 2	[i]
151	No (16, 241, 24)-net in base 2	[i]
152	No (16, 242, 24)-net in base 2	[i]
153	No (16, 243, 24)-net in base 2	[i]
154	No (16, 244, 24)-net in base 2	[i]
155	No (16, 245, 24)-net in base 2	[i]
156	No (16, 246, 24)-net in base 2	[i]
157	No (16, 247, 24)-net in base 2	[i]
158	No (16, 248, 24)-net in base 2	[i]
159	No (16, 249, 24)-net in base 2	[i]
160	No (16, 250, 24)-net in base 2	[i]
161	No (16, 251, 24)-net in base 2	[i]
162	No (16, 252, 24)-net in base 2	[i]
163	No (16, 253, 24)-net in base 2	[i]
164	No (16, 254, 24)-net in base 2	[i]
165	No (16, 255, 24)-net in base 2	[i]
166	No (16, 256, 24)-net in base 2	[i]
167	No (16, 257, 24)-net in base 2	[i]
168	No (16, 258, 24)-net in base 2	[i]
169	No (16, 259, 24)-net in base 2	[i]
170	No (16, 260, 24)-net in base 2	[i]
171	No (16, m, 24)-net in base 2 for arbitrarily large m	[i]	m-Reduction from Arbitrarily Large Net