MinT - Information on Result #520180

Information on Result #520180

There is no (21, 138, 29)-net in base 2, because extracting embedded OOA would yield OOA(2¹³⁸, 29, S₂, 5, 117), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 24 391440 060892 869061 054691 860709 145397 166080 / 59 > 2¹³⁸ [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 (21, 139, 29)-net in base 2	[i]	m-Reduction
2	No (21, 140, 29)-net in base 2	[i]
3	No (21, 141, 29)-net in base 2	[i]
4	No (21, 142, 29)-net in base 2	[i]
5	No (21, 143, 29)-net in base 2	[i]
6	No (21, 144, 29)-net in base 2	[i]
7	No (21, 145, 29)-net in base 2	[i]
8	No (21, 146, 29)-net in base 2	[i]
9	No (21, 147, 29)-net in base 2	[i]
10	No (21, 148, 29)-net in base 2	[i]
11	No (21, 149, 29)-net in base 2	[i]
12	No (21, 150, 29)-net in base 2	[i]
13	No (21, 151, 29)-net in base 2	[i]
14	No (21, 152, 29)-net in base 2	[i]
15	No (21, 153, 29)-net in base 2	[i]
16	No (21, 154, 29)-net in base 2	[i]
17	No (21, 155, 29)-net in base 2	[i]
18	No (21, 156, 29)-net in base 2	[i]
19	No (21, 157, 29)-net in base 2	[i]
20	No (21, 158, 29)-net in base 2	[i]
21	No (21, 159, 29)-net in base 2	[i]
22	No (21, 160, 29)-net in base 2	[i]
23	No (21, 161, 29)-net in base 2	[i]
24	No (21, 162, 29)-net in base 2	[i]
25	No (21, 163, 29)-net in base 2	[i]
26	No (21, 164, 29)-net in base 2	[i]
27	No (21, 165, 29)-net in base 2	[i]
28	No (21, 166, 29)-net in base 2	[i]
29	No (21, 167, 29)-net in base 2	[i]
30	No (21, 168, 29)-net in base 2	[i]
31	No (21, 169, 29)-net in base 2	[i]
32	No (21, 170, 29)-net in base 2	[i]
33	No (21, 171, 29)-net in base 2	[i]
34	No (21, 172, 29)-net in base 2	[i]
35	No (21, 173, 29)-net in base 2	[i]
36	No (21, 174, 29)-net in base 2	[i]
37	No (21, 175, 29)-net in base 2	[i]
38	No (21, 176, 29)-net in base 2	[i]
39	No (21, 177, 29)-net in base 2	[i]
40	No (21, 178, 29)-net in base 2	[i]
41	No (21, 179, 29)-net in base 2	[i]
42	No (21, 180, 29)-net in base 2	[i]
43	No (21, 181, 29)-net in base 2	[i]
44	No (21, 182, 29)-net in base 2	[i]
45	No (21, 183, 29)-net in base 2	[i]
46	No (21, 184, 29)-net in base 2	[i]
47	No (21, 185, 29)-net in base 2	[i]
48	No (21, 186, 29)-net in base 2	[i]
49	No (21, 187, 29)-net in base 2	[i]
50	No (21, 188, 29)-net in base 2	[i]
51	No (21, 189, 29)-net in base 2	[i]
52	No (21, 190, 29)-net in base 2	[i]
53	No (21, 191, 29)-net in base 2	[i]
54	No (21, 192, 29)-net in base 2	[i]
55	No (21, 193, 29)-net in base 2	[i]
56	No (21, 194, 29)-net in base 2	[i]
57	No (21, 195, 29)-net in base 2	[i]
58	No (21, 196, 29)-net in base 2	[i]
59	No (21, 197, 29)-net in base 2	[i]
60	No (21, 198, 29)-net in base 2	[i]
61	No (21, 199, 29)-net in base 2	[i]
62	No (21, 200, 29)-net in base 2	[i]
63	No (21, 201, 29)-net in base 2	[i]
64	No (21, 202, 29)-net in base 2	[i]
65	No (21, 203, 29)-net in base 2	[i]
66	No (21, 204, 29)-net in base 2	[i]
67	No (21, 205, 29)-net in base 2	[i]
68	No (21, 206, 29)-net in base 2	[i]
69	No (21, 207, 29)-net in base 2	[i]
70	No (21, 208, 29)-net in base 2	[i]
71	No (21, 209, 29)-net in base 2	[i]
72	No (21, 210, 29)-net in base 2	[i]
73	No (21, 211, 29)-net in base 2	[i]
74	No (21, 212, 29)-net in base 2	[i]
75	No (21, 213, 29)-net in base 2	[i]
76	No (21, 214, 29)-net in base 2	[i]
77	No (21, 215, 29)-net in base 2	[i]
78	No (21, 216, 29)-net in base 2	[i]
79	No (21, 217, 29)-net in base 2	[i]
80	No (21, 218, 29)-net in base 2	[i]
81	No (21, 219, 29)-net in base 2	[i]
82	No (21, 220, 29)-net in base 2	[i]
83	No (21, 221, 29)-net in base 2	[i]
84	No (21, 222, 29)-net in base 2	[i]
85	No (21, 223, 29)-net in base 2	[i]
86	No (21, 224, 29)-net in base 2	[i]
87	No (21, 225, 29)-net in base 2	[i]
88	No (21, 226, 29)-net in base 2	[i]
89	No (21, 227, 29)-net in base 2	[i]
90	No (21, 228, 29)-net in base 2	[i]
91	No (21, 229, 29)-net in base 2	[i]
92	No (21, 230, 29)-net in base 2	[i]
93	No (21, 231, 29)-net in base 2	[i]
94	No (21, 232, 29)-net in base 2	[i]
95	No (21, 233, 29)-net in base 2	[i]
96	No (21, 234, 29)-net in base 2	[i]
97	No (21, 235, 29)-net in base 2	[i]
98	No (21, 236, 29)-net in base 2	[i]
99	No (21, 237, 29)-net in base 2	[i]
100	No (21, 238, 29)-net in base 2	[i]
101	No (21, 239, 29)-net in base 2	[i]
102	No (21, 240, 29)-net in base 2	[i]
103	No (21, 241, 29)-net in base 2	[i]
104	No (21, 242, 29)-net in base 2	[i]
105	No (21, 243, 29)-net in base 2	[i]
106	No (21, 244, 29)-net in base 2	[i]
107	No (21, 245, 29)-net in base 2	[i]
108	No (21, 246, 29)-net in base 2	[i]
109	No (21, 247, 29)-net in base 2	[i]
110	No (21, 248, 29)-net in base 2	[i]
111	No (21, 249, 29)-net in base 2	[i]
112	No (21, 250, 29)-net in base 2	[i]
113	No (21, 251, 29)-net in base 2	[i]
114	No (21, 252, 29)-net in base 2	[i]
115	No (21, 253, 29)-net in base 2	[i]
116	No (21, 254, 29)-net in base 2	[i]
117	No (21, 255, 29)-net in base 2	[i]
118	No (21, 256, 29)-net in base 2	[i]
119	No (21, 257, 29)-net in base 2	[i]
120	No (21, 258, 29)-net in base 2	[i]
121	No (21, 259, 29)-net in base 2	[i]
122	No (21, 260, 29)-net in base 2	[i]
123	No (21, m, 29)-net in base 2 for arbitrarily large m	[i]	m-Reduction from Arbitrarily Large Net