MinT - Information on Result #520229

Information on Result #520229

There is no (27, 110, 39)-net in base 2, because extracting embedded OOA would yield OOA(2¹¹⁰, 39, S₂, 3, 83), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 15576 890575 604482 885591 488987 660288 / 7 > 2¹¹⁰ [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 (27, 111, 39)-net in base 2	[i]		m-Reduction
2	No (27, 112, 39)-net in base 2	[i]
3	No (27, 113, 39)-net in base 2	[i]
4	No (27, 114, 39)-net in base 2	[i]
5	No (27, 115, 39)-net in base 2	[i]
6	No (27, 116, 39)-net in base 2	[i]
7	No (27, 117, 39)-net in base 2	[i]
8	No (27, 118, 39)-net in base 2	[i]
9	No (27, 119, 39)-net in base 2	[i]
10	No (27, 120, 39)-net in base 2	[i]
11	No (27, 121, 39)-net in base 2	[i]
12	No (27, 122, 39)-net in base 2	[i]
13	No (27, 123, 39)-net in base 2	[i]
14	No (27, 124, 39)-net in base 2	[i]
15	No (27, 125, 39)-net in base 2	[i]
16	No (27, 126, 39)-net in base 2	[i]
17	No (27, 127, 39)-net in base 2	[i]
18	No (27, 128, 39)-net in base 2	[i]
19	No (27, 129, 39)-net in base 2	[i]
20	No (27, 130, 39)-net in base 2	[i]
21	No (27, 131, 39)-net in base 2	[i]
22	No (27, 132, 39)-net in base 2	[i]
23	No (27, 133, 39)-net in base 2	[i]
24	No (27, 134, 39)-net in base 2	[i]
25	No (27, 135, 39)-net in base 2	[i]
26	No (27, 136, 39)-net in base 2	[i]
27	No (27, 137, 39)-net in base 2	[i]
28	No (27, 138, 39)-net in base 2	[i]