MinT - Information on Result #520267

Information on Result #520267

There is no (31, 123, 43)-net in base 2, because extracting embedded OOA would yield OOA(2¹²³, 43, S₂, 3, 92), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 1105 917692 493050 006255 967474 153246 687232 / 93 > 2¹²³ [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 (31, 124, 43)-net in base 2	[i]		m-Reduction
2	No (31, 125, 43)-net in base 2	[i]
3	No (31, 126, 43)-net in base 2	[i]
4	No (31, 127, 43)-net in base 2	[i]
5	No (31, 128, 43)-net in base 2	[i]
6	No (31, 129, 43)-net in base 2	[i]
7	No (31, 130, 43)-net in base 2	[i]
8	No (31, 131, 43)-net in base 2	[i]
9	No (31, 132, 43)-net in base 2	[i]
10	No (31, 133, 43)-net in base 2	[i]
11	No (31, 134, 43)-net in base 2	[i]
12	No (31, 135, 43)-net in base 2	[i]
13	No (31, 136, 43)-net in base 2	[i]
14	No (31, 137, 43)-net in base 2	[i]
15	No (31, 138, 43)-net in base 2	[i]
16	No (31, 139, 43)-net in base 2	[i]
17	No (31, 140, 43)-net in base 2	[i]
18	No (31, 141, 43)-net in base 2	[i]
19	No (31, 142, 43)-net in base 2	[i]
20	No (31, 143, 43)-net in base 2	[i]
21	No (31, 144, 43)-net in base 2	[i]
22	No (31, 145, 43)-net in base 2	[i]
23	No (31, 146, 43)-net in base 2	[i]
24	No (31, 147, 43)-net in base 2	[i]
25	No (31, 148, 43)-net in base 2	[i]
26	No (31, 149, 43)-net in base 2	[i]
27	No (31, 150, 43)-net in base 2	[i]
28	No (31, 151, 43)-net in base 2	[i]
29	No (31, 152, 43)-net in base 2	[i]
30	No (31, 153, 43)-net in base 2	[i]
31	No (31, 154, 43)-net in base 2	[i]
32	No (31, 155, 43)-net in base 2	[i]
33	No (31, 156, 43)-net in base 2	[i]