MinT - Information on Result #520503

Information on Result #520503

There is no (54, 156, 81)-net in base 2, because extracting embedded OOA would yield OOA(2¹⁵⁶, 81, S₂, 2, 102), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 10 230511 461316 320427 425793 829013 981137 591527 800832 / 103 > 2¹⁵⁶ [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 (54, 157, 81)-net in base 2	[i]	m-Reduction
2	No (54, 158, 81)-net in base 2	[i]
3	No (54, 159, 81)-net in base 2	[i]
4	No (54, 160, 81)-net in base 2	[i]
5	No (54, 161, 81)-net in base 2	[i]
6	No (54, 162, 81)-net in base 2	[i]
7	No (54, 163, 81)-net in base 2	[i]
8	No (54, 164, 81)-net in base 2	[i]
9	No (54, 165, 81)-net in base 2	[i]
10	No (54, 166, 81)-net in base 2	[i]
11	No (54, 167, 81)-net in base 2	[i]
12	No (54, 168, 81)-net in base 2	[i]
13	No (54, 169, 81)-net in base 2	[i]
14	No (54, 170, 81)-net in base 2	[i]
15	No (54, 171, 81)-net in base 2	[i]
16	No (54, 172, 81)-net in base 2	[i]
17	No (54, 173, 81)-net in base 2	[i]
18	No (54, 174, 81)-net in base 2	[i]
19	No (54, 175, 81)-net in base 2	[i]
20	No (54, 176, 81)-net in base 2	[i]
21	No (54, 177, 81)-net in base 2	[i]
22	No (54, 178, 81)-net in base 2	[i]
23	No (54, 179, 81)-net in base 2	[i]
24	No (54, 180, 81)-net in base 2	[i]
25	No (54, 181, 81)-net in base 2	[i]
26	No (54, 182, 81)-net in base 2	[i]
27	No (54, 183, 81)-net in base 2	[i]
28	No (54, 184, 81)-net in base 2	[i]
29	No (54, 185, 81)-net in base 2	[i]
30	No (54, 186, 81)-net in base 2	[i]
31	No (54, 187, 81)-net in base 2	[i]
32	No (54, 188, 81)-net in base 2	[i]
33	No (54, 189, 81)-net in base 2	[i]
34	No (54, 190, 81)-net in base 2	[i]
35	No (54, 191, 81)-net in base 2	[i]
36	No (54, 192, 81)-net in base 2	[i]
37	No (54, 193, 81)-net in base 2	[i]
38	No (54, 194, 81)-net in base 2	[i]
39	No (54, 195, 81)-net in base 2	[i]
40	No (54, 196, 81)-net in base 2	[i]
41	No (54, 197, 81)-net in base 2	[i]
42	No (54, 198, 81)-net in base 2	[i]
43	No (54, 199, 81)-net in base 2	[i]
44	No (54, 200, 81)-net in base 2	[i]
45	No (54, 201, 81)-net in base 2	[i]
46	No (54, 202, 81)-net in base 2	[i]