MinT - Information on Result #520258

Information on Result #520258

There is no (30, 119, 42)-net in base 2, because extracting embedded OOA would yield OOA(2¹¹⁹, 42, S₂, 3, 89), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 10 633823 966279 326983 230456 482242 756608 / 15 > 2¹¹⁹ [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 (30, 120, 42)-net in base 2	[i]		m-Reduction
2	No (30, 121, 42)-net in base 2	[i]
3	No (30, 122, 42)-net in base 2	[i]
4	No (30, 123, 42)-net in base 2	[i]
5	No (30, 124, 42)-net in base 2	[i]
6	No (30, 125, 42)-net in base 2	[i]
7	No (30, 126, 42)-net in base 2	[i]
8	No (30, 127, 42)-net in base 2	[i]
9	No (30, 128, 42)-net in base 2	[i]
10	No (30, 129, 42)-net in base 2	[i]
11	No (30, 130, 42)-net in base 2	[i]
12	No (30, 131, 42)-net in base 2	[i]
13	No (30, 132, 42)-net in base 2	[i]
14	No (30, 133, 42)-net in base 2	[i]
15	No (30, 134, 42)-net in base 2	[i]
16	No (30, 135, 42)-net in base 2	[i]
17	No (30, 136, 42)-net in base 2	[i]
18	No (30, 137, 42)-net in base 2	[i]
19	No (30, 138, 42)-net in base 2	[i]
20	No (30, 139, 42)-net in base 2	[i]
21	No (30, 140, 42)-net in base 2	[i]
22	No (30, 141, 42)-net in base 2	[i]
23	No (30, 142, 42)-net in base 2	[i]
24	No (30, 143, 42)-net in base 2	[i]
25	No (30, 144, 42)-net in base 2	[i]
26	No (30, 145, 42)-net in base 2	[i]
27	No (30, 146, 42)-net in base 2	[i]
28	No (30, 147, 42)-net in base 2	[i]
29	No (30, 148, 42)-net in base 2	[i]
30	No (30, 149, 42)-net in base 2	[i]
31	No (30, 150, 42)-net in base 2	[i]