MinT - Information on Result #520154

Information on Result #520154

There is no (18, 57, 32)-net in base 2, because extracting embedded OOA would yield OOA(2⁵⁷, 32, S₂, 2, 39), but

the LP bound with quadratic polynomials shows that MÂ â‰¥ 792633 534417 207296 / 5 > 2⁵⁷ [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 (18, 58, 32)-net in base 2	[i]		m-Reduction
2	No (18, 59, 32)-net in base 2	[i]
3	No (18, 60, 32)-net in base 2	[i]
4	No (18, 61, 32)-net in base 2	[i]
5	No (18, 62, 32)-net in base 2	[i]
6	No (18, 63, 32)-net in base 2	[i]
7	No (18, 64, 32)-net in base 2	[i]
8	No (18, 65, 32)-net in base 2	[i]
9	No (18, 66, 32)-net in base 2	[i]
10	No (18, 67, 32)-net in base 2	[i]
11	No (18, 68, 32)-net in base 2	[i]
12	No (18, 69, 32)-net in base 2	[i]
13	No (18, 70, 32)-net in base 2	[i]
14	No (18, 71, 32)-net in base 2	[i]
15	No (18, 72, 32)-net in base 2	[i]
16	No (18, 73, 32)-net in base 2	[i]
17	No (18, 74, 32)-net in base 2	[i]
18	No (18, 75, 32)-net in base 2	[i]
19	No (18, 76, 32)-net in base 2	[i]