MinT - Information on Result #520348

Information on Result #520348

There is no (39, 152, 53)-net in base 2, because extracting embedded OOA would yield OOA(2¹⁵², 53, S₂, 3, 113), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 502391 187832 497878 132516 661246 222288 006726 811648 / 57 > 2¹⁵² [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		This result only	Method
1	No (39, 153, 53)-net in base 2	[i]		m-Reduction
2	No (39, 154, 53)-net in base 2	[i]
3	No (39, 155, 53)-net in base 2	[i]
4	No (39, 156, 53)-net in base 2	[i]
5	No (39, 157, 53)-net in base 2	[i]
6	No (39, 158, 53)-net in base 2	[i]
7	No (39, 159, 53)-net in base 2	[i]
8	No (39, 160, 53)-net in base 2	[i]
9	No (39, 161, 53)-net in base 2	[i]
10	No (39, 162, 53)-net in base 2	[i]
11	No (39, 163, 53)-net in base 2	[i]
12	No (39, 164, 53)-net in base 2	[i]
13	No (39, 165, 53)-net in base 2	[i]
14	No (39, 166, 53)-net in base 2	[i]
15	No (39, 167, 53)-net in base 2	[i]
16	No (39, 168, 53)-net in base 2	[i]
17	No (39, 169, 53)-net in base 2	[i]
18	No (39, 170, 53)-net in base 2	[i]
19	No (39, 171, 53)-net in base 2	[i]
20	No (39, 172, 53)-net in base 2	[i]
21	No (39, 173, 53)-net in base 2	[i]
22	No (39, 174, 53)-net in base 2	[i]
23	No (39, 175, 53)-net in base 2	[i]
24	No (39, 176, 53)-net in base 2	[i]
25	No (39, 177, 53)-net in base 2	[i]
26	No (39, 178, 53)-net in base 2	[i]
27	No (39, 179, 53)-net in base 2	[i]
28	No (39, 180, 53)-net in base 2	[i]
29	No (39, 181, 53)-net in base 2	[i]
30	No (39, 182, 53)-net in base 2	[i]
31	No (39, 183, 53)-net in base 2	[i]
32	No (39, 184, 53)-net in base 2	[i]
33	No (39, 185, 53)-net in base 2	[i]
34	No (39, 186, 53)-net in base 2	[i]
35	No (39, 187, 53)-net in base 2	[i]
36	No (39, 188, 53)-net in base 2	[i]
37	No (39, 189, 53)-net in base 2	[i]
38	No (39, 190, 53)-net in base 2	[i]