MinT - Information on Result #520135

Information on Result #520135

There is no (15, 49, 27)-net in base 2, because extracting embedded OOA would yield OOA(2⁴⁹, 27, S₂, 2, 34), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 4503 599627 370496 / 7 > 2⁴⁹ [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 (15, 50, 27)-net in base 2	[i]		m-Reduction
2	No (15, 51, 27)-net in base 2	[i]
3	No (15, 52, 27)-net in base 2	[i]
4	No (15, 53, 27)-net in base 2	[i]
5	No (15, 54, 27)-net in base 2	[i]
6	No (15, 55, 27)-net in base 2	[i]
7	No (15, 56, 27)-net in base 2	[i]
8	No (15, 57, 27)-net in base 2	[i]
9	No (15, 58, 27)-net in base 2	[i]
10	No (15, 59, 27)-net in base 2	[i]
11	No (15, 60, 27)-net in base 2	[i]
12	No (15, 61, 27)-net in base 2	[i]
13	No (15, 62, 27)-net in base 2	[i]
14	No (15, 63, 27)-net in base 2	[i]
15	No (15, 64, 27)-net in base 2	[i]
16	No (15, 65, 27)-net in base 2	[i]