MinT - Information on Result #520142

Information on Result #520142

There is no (16, 69, 25)-net in base 2, because extracting embedded OOA would yield OOA(2⁶⁹, 25, S₂, 3, 53), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 16528 282690 043758 247936 / 27 > 2⁶⁹ [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 (16, 70, 25)-net in base 2	[i]		m-Reduction
2	No (16, 71, 25)-net in base 2	[i]
3	No (16, 72, 25)-net in base 2	[i]
4	No (16, 73, 25)-net in base 2	[i]
5	No (16, 74, 25)-net in base 2	[i]
6	No (16, 75, 25)-net in base 2	[i]
7	No (16, 76, 25)-net in base 2	[i]
8	No (16, 77, 25)-net in base 2	[i]
9	No (16, 78, 25)-net in base 2	[i]
10	No (16, 79, 25)-net in base 2	[i]
11	No (16, 80, 25)-net in base 2	[i]
12	No (16, 81, 25)-net in base 2	[i]
13	No (16, 82, 25)-net in base 2	[i]
14	No (16, 83, 25)-net in base 2	[i]
15	No (16, 84, 25)-net in base 2	[i]
16	No (16, 85, 25)-net in base 2	[i]
17	No (16, 86, 25)-net in base 2	[i]
18	No (16, 87, 25)-net in base 2	[i]
19	No (16, 88, 25)-net in base 2	[i]
20	No (16, 89, 25)-net in base 2	[i]