MinT - Information on Result #520164

Information on Result #520164

There is no (19, 128, 27)-net in base 2, because extracting embedded OOA would yield OOA(2¹²⁸, 27, S₂, 5, 109), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 25180 895152 149446 296289 720949 950847 647744 / 55 > 2¹²⁸ [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 (19, 129, 27)-net in base 2	[i]	m-Reduction
2	No (19, 130, 27)-net in base 2	[i]
3	No (19, 131, 27)-net in base 2	[i]
4	No (19, 132, 27)-net in base 2	[i]
5	No (19, 133, 27)-net in base 2	[i]
6	No (19, 134, 27)-net in base 2	[i]
7	No (19, 135, 27)-net in base 2	[i]
8	No (19, 136, 27)-net in base 2	[i]
9	No (19, 137, 27)-net in base 2	[i]
10	No (19, 138, 27)-net in base 2	[i]
11	No (19, 139, 27)-net in base 2	[i]
12	No (19, 140, 27)-net in base 2	[i]
13	No (19, 141, 27)-net in base 2	[i]
14	No (19, 142, 27)-net in base 2	[i]
15	No (19, 143, 27)-net in base 2	[i]
16	No (19, 144, 27)-net in base 2	[i]
17	No (19, 145, 27)-net in base 2	[i]
18	No (19, 146, 27)-net in base 2	[i]
19	No (19, 147, 27)-net in base 2	[i]
20	No (19, 148, 27)-net in base 2	[i]
21	No (19, 149, 27)-net in base 2	[i]
22	No (19, 150, 27)-net in base 2	[i]
23	No (19, 151, 27)-net in base 2	[i]
24	No (19, 152, 27)-net in base 2	[i]
25	No (19, 153, 27)-net in base 2	[i]
26	No (19, 154, 27)-net in base 2	[i]
27	No (19, 155, 27)-net in base 2	[i]
28	No (19, 156, 27)-net in base 2	[i]
29	No (19, 157, 27)-net in base 2	[i]
30	No (19, 158, 27)-net in base 2	[i]
31	No (19, 159, 27)-net in base 2	[i]
32	No (19, 160, 27)-net in base 2	[i]
33	No (19, 161, 27)-net in base 2	[i]
34	No (19, 162, 27)-net in base 2	[i]
35	No (19, 163, 27)-net in base 2	[i]
36	No (19, 164, 27)-net in base 2	[i]
37	No (19, 165, 27)-net in base 2	[i]
38	No (19, 166, 27)-net in base 2	[i]
39	No (19, 167, 27)-net in base 2	[i]
40	No (19, 168, 27)-net in base 2	[i]
41	No (19, 169, 27)-net in base 2	[i]
42	No (19, 170, 27)-net in base 2	[i]
43	No (19, 171, 27)-net in base 2	[i]
44	No (19, 172, 27)-net in base 2	[i]
45	No (19, 173, 27)-net in base 2	[i]
46	No (19, 174, 27)-net in base 2	[i]
47	No (19, 175, 27)-net in base 2	[i]
48	No (19, 176, 27)-net in base 2	[i]
49	No (19, 177, 27)-net in base 2	[i]
50	No (19, 178, 27)-net in base 2	[i]
51	No (19, 179, 27)-net in base 2	[i]
52	No (19, 180, 27)-net in base 2	[i]
53	No (19, 181, 27)-net in base 2	[i]
54	No (19, 182, 27)-net in base 2	[i]
55	No (19, 183, 27)-net in base 2	[i]
56	No (19, 184, 27)-net in base 2	[i]
57	No (19, 185, 27)-net in base 2	[i]
58	No (19, 186, 27)-net in base 2	[i]
59	No (19, 187, 27)-net in base 2	[i]
60	No (19, 188, 27)-net in base 2	[i]
61	No (19, 189, 27)-net in base 2	[i]
62	No (19, 190, 27)-net in base 2	[i]
63	No (19, 191, 27)-net in base 2	[i]
64	No (19, 192, 27)-net in base 2	[i]
65	No (19, 193, 27)-net in base 2	[i]
66	No (19, 194, 27)-net in base 2	[i]
67	No (19, 195, 27)-net in base 2	[i]
68	No (19, 196, 27)-net in base 2	[i]
69	No (19, 197, 27)-net in base 2	[i]
70	No (19, 198, 27)-net in base 2	[i]
71	No (19, 199, 27)-net in base 2	[i]
72	No (19, 200, 27)-net in base 2	[i]
73	No (19, 201, 27)-net in base 2	[i]
74	No (19, 202, 27)-net in base 2	[i]
75	No (19, 203, 27)-net in base 2	[i]
76	No (19, 204, 27)-net in base 2	[i]
77	No (19, 205, 27)-net in base 2	[i]
78	No (19, 206, 27)-net in base 2	[i]
79	No (19, 207, 27)-net in base 2	[i]
80	No (19, 208, 27)-net in base 2	[i]
81	No (19, 209, 27)-net in base 2	[i]
82	No (19, 210, 27)-net in base 2	[i]
83	No (19, 211, 27)-net in base 2	[i]
84	No (19, 212, 27)-net in base 2	[i]
85	No (19, 213, 27)-net in base 2	[i]
86	No (19, 214, 27)-net in base 2	[i]
87	No (19, 215, 27)-net in base 2	[i]
88	No (19, 216, 27)-net in base 2	[i]
89	No (19, 217, 27)-net in base 2	[i]
90	No (19, 218, 27)-net in base 2	[i]
91	No (19, 219, 27)-net in base 2	[i]
92	No (19, 220, 27)-net in base 2	[i]
93	No (19, 221, 27)-net in base 2	[i]
94	No (19, 222, 27)-net in base 2	[i]
95	No (19, 223, 27)-net in base 2	[i]
96	No (19, 224, 27)-net in base 2	[i]
97	No (19, 225, 27)-net in base 2	[i]
98	No (19, 226, 27)-net in base 2	[i]
99	No (19, 227, 27)-net in base 2	[i]
100	No (19, 228, 27)-net in base 2	[i]
101	No (19, 229, 27)-net in base 2	[i]
102	No (19, 230, 27)-net in base 2	[i]
103	No (19, 231, 27)-net in base 2	[i]
104	No (19, 232, 27)-net in base 2	[i]
105	No (19, 233, 27)-net in base 2	[i]
106	No (19, 234, 27)-net in base 2	[i]
107	No (19, 235, 27)-net in base 2	[i]
108	No (19, 236, 27)-net in base 2	[i]
109	No (19, 237, 27)-net in base 2	[i]
110	No (19, 238, 27)-net in base 2	[i]
111	No (19, 239, 27)-net in base 2	[i]
112	No (19, 240, 27)-net in base 2	[i]
113	No (19, 241, 27)-net in base 2	[i]
114	No (19, 242, 27)-net in base 2	[i]
115	No (19, 243, 27)-net in base 2	[i]
116	No (19, 244, 27)-net in base 2	[i]
117	No (19, 245, 27)-net in base 2	[i]
118	No (19, 246, 27)-net in base 2	[i]
119	No (19, 247, 27)-net in base 2	[i]
120	No (19, 248, 27)-net in base 2	[i]
121	No (19, 249, 27)-net in base 2	[i]
122	No (19, 250, 27)-net in base 2	[i]
123	No (19, 251, 27)-net in base 2	[i]
124	No (19, 252, 27)-net in base 2	[i]
125	No (19, 253, 27)-net in base 2	[i]
126	No (19, 254, 27)-net in base 2	[i]
127	No (19, 255, 27)-net in base 2	[i]
128	No (19, 256, 27)-net in base 2	[i]
129	No (19, 257, 27)-net in base 2	[i]
130	No (19, 258, 27)-net in base 2	[i]
131	No (19, 259, 27)-net in base 2	[i]
132	No (19, 260, 27)-net in base 2	[i]
133	No (19, m, 27)-net in base 2 for arbitrarily large m	[i]	m-Reduction from Arbitrarily Large Net