MinT - Information on Result #520269

Information on Result #520269

There is no (31, 192, 40)-net in base 2, because extracting embedded OOA would yield OOA(2¹⁹², 40, S₂, 5, 161), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 200867 255532 373784 442745 261542 645325 315275 374222 849104 412672 / 27 > 2¹⁹² [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 (31, 193, 40)-net in base 2	[i]	m-Reduction
2	No (31, 194, 40)-net in base 2	[i]
3	No (31, 195, 40)-net in base 2	[i]
4	No (31, 196, 40)-net in base 2	[i]
5	No (31, 197, 40)-net in base 2	[i]
6	No (31, 198, 40)-net in base 2	[i]
7	No (31, 199, 40)-net in base 2	[i]
8	No (31, 200, 40)-net in base 2	[i]
9	No (31, 201, 40)-net in base 2	[i]
10	No (31, 202, 40)-net in base 2	[i]
11	No (31, 203, 40)-net in base 2	[i]
12	No (31, 204, 40)-net in base 2	[i]
13	No (31, 205, 40)-net in base 2	[i]
14	No (31, 206, 40)-net in base 2	[i]
15	No (31, 207, 40)-net in base 2	[i]
16	No (31, 208, 40)-net in base 2	[i]
17	No (31, 209, 40)-net in base 2	[i]
18	No (31, 210, 40)-net in base 2	[i]
19	No (31, 211, 40)-net in base 2	[i]
20	No (31, 212, 40)-net in base 2	[i]
21	No (31, 213, 40)-net in base 2	[i]
22	No (31, 214, 40)-net in base 2	[i]
23	No (31, 215, 40)-net in base 2	[i]
24	No (31, 216, 40)-net in base 2	[i]
25	No (31, 217, 40)-net in base 2	[i]
26	No (31, 218, 40)-net in base 2	[i]
27	No (31, 219, 40)-net in base 2	[i]
28	No (31, 220, 40)-net in base 2	[i]
29	No (31, 221, 40)-net in base 2	[i]
30	No (31, 222, 40)-net in base 2	[i]
31	No (31, 223, 40)-net in base 2	[i]
32	No (31, 224, 40)-net in base 2	[i]
33	No (31, 225, 40)-net in base 2	[i]
34	No (31, 226, 40)-net in base 2	[i]
35	No (31, 227, 40)-net in base 2	[i]
36	No (31, 228, 40)-net in base 2	[i]
37	No (31, 229, 40)-net in base 2	[i]
38	No (31, 230, 40)-net in base 2	[i]
39	No (31, 231, 40)-net in base 2	[i]
40	No (31, 232, 40)-net in base 2	[i]
41	No (31, 233, 40)-net in base 2	[i]
42	No (31, 234, 40)-net in base 2	[i]
43	No (31, 235, 40)-net in base 2	[i]
44	No (31, 236, 40)-net in base 2	[i]
45	No (31, 237, 40)-net in base 2	[i]
46	No (31, 238, 40)-net in base 2	[i]
47	No (31, 239, 40)-net in base 2	[i]
48	No (31, 240, 40)-net in base 2	[i]
49	No (31, 241, 40)-net in base 2	[i]
50	No (31, 242, 40)-net in base 2	[i]
51	No (31, 243, 40)-net in base 2	[i]
52	No (31, 244, 40)-net in base 2	[i]
53	No (31, 245, 40)-net in base 2	[i]
54	No (31, 246, 40)-net in base 2	[i]
55	No (31, 247, 40)-net in base 2	[i]
56	No (31, 248, 40)-net in base 2	[i]
57	No (31, 249, 40)-net in base 2	[i]
58	No (31, 250, 40)-net in base 2	[i]
59	No (31, 251, 40)-net in base 2	[i]
60	No (31, 252, 40)-net in base 2	[i]
61	No (31, 253, 40)-net in base 2	[i]
62	No (31, 254, 40)-net in base 2	[i]
63	No (31, 255, 40)-net in base 2	[i]
64	No (31, 256, 40)-net in base 2	[i]
65	No (31, 257, 40)-net in base 2	[i]
66	No (31, 258, 40)-net in base 2	[i]
67	No (31, 259, 40)-net in base 2	[i]
68	No (31, 260, 40)-net in base 2	[i]
69	No (31, m, 40)-net in base 2 for arbitrarily large m	[i]	m-Reduction from Arbitrarily Large Net