MinT - Information on Result #520251

Information on Result #520251

There is no (29, 182, 38)-net in base 2, because extracting embedded OOA would yield OOA(2¹⁸², 38, S₂, 5, 153), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 637 518145 000209 765077 072363 294528 620385 395474 828378 505216 / 77 > 2¹⁸² [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 (29, 183, 38)-net in base 2	[i]	m-Reduction
2	No (29, 184, 38)-net in base 2	[i]
3	No (29, 185, 38)-net in base 2	[i]
4	No (29, 186, 38)-net in base 2	[i]
5	No (29, 187, 38)-net in base 2	[i]
6	No (29, 188, 38)-net in base 2	[i]
7	No (29, 189, 38)-net in base 2	[i]
8	No (29, 190, 38)-net in base 2	[i]
9	No (29, 191, 38)-net in base 2	[i]
10	No (29, 192, 38)-net in base 2	[i]
11	No (29, 193, 38)-net in base 2	[i]
12	No (29, 194, 38)-net in base 2	[i]
13	No (29, 195, 38)-net in base 2	[i]
14	No (29, 196, 38)-net in base 2	[i]
15	No (29, 197, 38)-net in base 2	[i]
16	No (29, 198, 38)-net in base 2	[i]
17	No (29, 199, 38)-net in base 2	[i]
18	No (29, 200, 38)-net in base 2	[i]
19	No (29, 201, 38)-net in base 2	[i]
20	No (29, 202, 38)-net in base 2	[i]
21	No (29, 203, 38)-net in base 2	[i]
22	No (29, 204, 38)-net in base 2	[i]
23	No (29, 205, 38)-net in base 2	[i]
24	No (29, 206, 38)-net in base 2	[i]
25	No (29, 207, 38)-net in base 2	[i]
26	No (29, 208, 38)-net in base 2	[i]
27	No (29, 209, 38)-net in base 2	[i]
28	No (29, 210, 38)-net in base 2	[i]
29	No (29, 211, 38)-net in base 2	[i]
30	No (29, 212, 38)-net in base 2	[i]
31	No (29, 213, 38)-net in base 2	[i]
32	No (29, 214, 38)-net in base 2	[i]
33	No (29, 215, 38)-net in base 2	[i]
34	No (29, 216, 38)-net in base 2	[i]
35	No (29, 217, 38)-net in base 2	[i]
36	No (29, 218, 38)-net in base 2	[i]
37	No (29, 219, 38)-net in base 2	[i]
38	No (29, 220, 38)-net in base 2	[i]
39	No (29, 221, 38)-net in base 2	[i]
40	No (29, 222, 38)-net in base 2	[i]
41	No (29, 223, 38)-net in base 2	[i]
42	No (29, 224, 38)-net in base 2	[i]
43	No (29, 225, 38)-net in base 2	[i]
44	No (29, 226, 38)-net in base 2	[i]
45	No (29, 227, 38)-net in base 2	[i]
46	No (29, 228, 38)-net in base 2	[i]
47	No (29, 229, 38)-net in base 2	[i]
48	No (29, 230, 38)-net in base 2	[i]
49	No (29, 231, 38)-net in base 2	[i]
50	No (29, 232, 38)-net in base 2	[i]
51	No (29, 233, 38)-net in base 2	[i]
52	No (29, 234, 38)-net in base 2	[i]
53	No (29, 235, 38)-net in base 2	[i]
54	No (29, 236, 38)-net in base 2	[i]
55	No (29, 237, 38)-net in base 2	[i]
56	No (29, 238, 38)-net in base 2	[i]
57	No (29, 239, 38)-net in base 2	[i]
58	No (29, 240, 38)-net in base 2	[i]
59	No (29, 241, 38)-net in base 2	[i]
60	No (29, 242, 38)-net in base 2	[i]
61	No (29, 243, 38)-net in base 2	[i]
62	No (29, 244, 38)-net in base 2	[i]
63	No (29, 245, 38)-net in base 2	[i]
64	No (29, 246, 38)-net in base 2	[i]
65	No (29, 247, 38)-net in base 2	[i]
66	No (29, 248, 38)-net in base 2	[i]
67	No (29, 249, 38)-net in base 2	[i]
68	No (29, 250, 38)-net in base 2	[i]
69	No (29, 251, 38)-net in base 2	[i]
70	No (29, 252, 38)-net in base 2	[i]
71	No (29, 253, 38)-net in base 2	[i]
72	No (29, 254, 38)-net in base 2	[i]
73	No (29, 255, 38)-net in base 2	[i]
74	No (29, 256, 38)-net in base 2	[i]
75	No (29, 257, 38)-net in base 2	[i]
76	No (29, 258, 38)-net in base 2	[i]
77	No (29, 259, 38)-net in base 2	[i]
78	No (29, 260, 38)-net in base 2	[i]
79	No (29, m, 38)-net in base 2 for arbitrarily large m	[i]	m-Reduction from Arbitrarily Large Net