MinT - Information on Result #520172

Information on Result #520172

There is no (20, 133, 28)-net in base 2, because extracting embedded OOA would yield OOA(2¹³³, 28, S₂, 5, 113), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 261336 857795 280739 939871 698507 597986 398208 / 19 > 2¹³³ [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 (20, 134, 28)-net in base 2	[i]	m-Reduction
2	No (20, 135, 28)-net in base 2	[i]
3	No (20, 136, 28)-net in base 2	[i]
4	No (20, 137, 28)-net in base 2	[i]
5	No (20, 138, 28)-net in base 2	[i]
6	No (20, 139, 28)-net in base 2	[i]
7	No (20, 140, 28)-net in base 2	[i]
8	No (20, 141, 28)-net in base 2	[i]
9	No (20, 142, 28)-net in base 2	[i]
10	No (20, 143, 28)-net in base 2	[i]
11	No (20, 144, 28)-net in base 2	[i]
12	No (20, 145, 28)-net in base 2	[i]
13	No (20, 146, 28)-net in base 2	[i]
14	No (20, 147, 28)-net in base 2	[i]
15	No (20, 148, 28)-net in base 2	[i]
16	No (20, 149, 28)-net in base 2	[i]
17	No (20, 150, 28)-net in base 2	[i]
18	No (20, 151, 28)-net in base 2	[i]
19	No (20, 152, 28)-net in base 2	[i]
20	No (20, 153, 28)-net in base 2	[i]
21	No (20, 154, 28)-net in base 2	[i]
22	No (20, 155, 28)-net in base 2	[i]
23	No (20, 156, 28)-net in base 2	[i]
24	No (20, 157, 28)-net in base 2	[i]
25	No (20, 158, 28)-net in base 2	[i]
26	No (20, 159, 28)-net in base 2	[i]
27	No (20, 160, 28)-net in base 2	[i]
28	No (20, 161, 28)-net in base 2	[i]
29	No (20, 162, 28)-net in base 2	[i]
30	No (20, 163, 28)-net in base 2	[i]
31	No (20, 164, 28)-net in base 2	[i]
32	No (20, 165, 28)-net in base 2	[i]
33	No (20, 166, 28)-net in base 2	[i]
34	No (20, 167, 28)-net in base 2	[i]
35	No (20, 168, 28)-net in base 2	[i]
36	No (20, 169, 28)-net in base 2	[i]
37	No (20, 170, 28)-net in base 2	[i]
38	No (20, 171, 28)-net in base 2	[i]
39	No (20, 172, 28)-net in base 2	[i]
40	No (20, 173, 28)-net in base 2	[i]
41	No (20, 174, 28)-net in base 2	[i]
42	No (20, 175, 28)-net in base 2	[i]
43	No (20, 176, 28)-net in base 2	[i]
44	No (20, 177, 28)-net in base 2	[i]
45	No (20, 178, 28)-net in base 2	[i]
46	No (20, 179, 28)-net in base 2	[i]
47	No (20, 180, 28)-net in base 2	[i]
48	No (20, 181, 28)-net in base 2	[i]
49	No (20, 182, 28)-net in base 2	[i]
50	No (20, 183, 28)-net in base 2	[i]
51	No (20, 184, 28)-net in base 2	[i]
52	No (20, 185, 28)-net in base 2	[i]
53	No (20, 186, 28)-net in base 2	[i]
54	No (20, 187, 28)-net in base 2	[i]
55	No (20, 188, 28)-net in base 2	[i]
56	No (20, 189, 28)-net in base 2	[i]
57	No (20, 190, 28)-net in base 2	[i]
58	No (20, 191, 28)-net in base 2	[i]
59	No (20, 192, 28)-net in base 2	[i]
60	No (20, 193, 28)-net in base 2	[i]
61	No (20, 194, 28)-net in base 2	[i]
62	No (20, 195, 28)-net in base 2	[i]
63	No (20, 196, 28)-net in base 2	[i]
64	No (20, 197, 28)-net in base 2	[i]
65	No (20, 198, 28)-net in base 2	[i]
66	No (20, 199, 28)-net in base 2	[i]
67	No (20, 200, 28)-net in base 2	[i]
68	No (20, 201, 28)-net in base 2	[i]
69	No (20, 202, 28)-net in base 2	[i]
70	No (20, 203, 28)-net in base 2	[i]
71	No (20, 204, 28)-net in base 2	[i]
72	No (20, 205, 28)-net in base 2	[i]
73	No (20, 206, 28)-net in base 2	[i]
74	No (20, 207, 28)-net in base 2	[i]
75	No (20, 208, 28)-net in base 2	[i]
76	No (20, 209, 28)-net in base 2	[i]
77	No (20, 210, 28)-net in base 2	[i]
78	No (20, 211, 28)-net in base 2	[i]
79	No (20, 212, 28)-net in base 2	[i]
80	No (20, 213, 28)-net in base 2	[i]
81	No (20, 214, 28)-net in base 2	[i]
82	No (20, 215, 28)-net in base 2	[i]
83	No (20, 216, 28)-net in base 2	[i]
84	No (20, 217, 28)-net in base 2	[i]
85	No (20, 218, 28)-net in base 2	[i]
86	No (20, 219, 28)-net in base 2	[i]
87	No (20, 220, 28)-net in base 2	[i]
88	No (20, 221, 28)-net in base 2	[i]
89	No (20, 222, 28)-net in base 2	[i]
90	No (20, 223, 28)-net in base 2	[i]
91	No (20, 224, 28)-net in base 2	[i]
92	No (20, 225, 28)-net in base 2	[i]
93	No (20, 226, 28)-net in base 2	[i]
94	No (20, 227, 28)-net in base 2	[i]
95	No (20, 228, 28)-net in base 2	[i]
96	No (20, 229, 28)-net in base 2	[i]
97	No (20, 230, 28)-net in base 2	[i]
98	No (20, 231, 28)-net in base 2	[i]
99	No (20, 232, 28)-net in base 2	[i]
100	No (20, 233, 28)-net in base 2	[i]
101	No (20, 234, 28)-net in base 2	[i]
102	No (20, 235, 28)-net in base 2	[i]
103	No (20, 236, 28)-net in base 2	[i]
104	No (20, 237, 28)-net in base 2	[i]
105	No (20, 238, 28)-net in base 2	[i]
106	No (20, 239, 28)-net in base 2	[i]
107	No (20, 240, 28)-net in base 2	[i]
108	No (20, 241, 28)-net in base 2	[i]
109	No (20, 242, 28)-net in base 2	[i]
110	No (20, 243, 28)-net in base 2	[i]
111	No (20, 244, 28)-net in base 2	[i]
112	No (20, 245, 28)-net in base 2	[i]
113	No (20, 246, 28)-net in base 2	[i]
114	No (20, 247, 28)-net in base 2	[i]
115	No (20, 248, 28)-net in base 2	[i]
116	No (20, 249, 28)-net in base 2	[i]
117	No (20, 250, 28)-net in base 2	[i]
118	No (20, 251, 28)-net in base 2	[i]
119	No (20, 252, 28)-net in base 2	[i]
120	No (20, 253, 28)-net in base 2	[i]
121	No (20, 254, 28)-net in base 2	[i]
122	No (20, 255, 28)-net in base 2	[i]
123	No (20, 256, 28)-net in base 2	[i]
124	No (20, 257, 28)-net in base 2	[i]
125	No (20, 258, 28)-net in base 2	[i]
126	No (20, 259, 28)-net in base 2	[i]
127	No (20, 260, 28)-net in base 2	[i]
128	No (20, m, 28)-net in base 2 for arbitrarily large m	[i]	m-Reduction from Arbitrarily Large Net