MinT - Information on Result #520476

Information on Result #520476

There is no (51, 244, 63)-net in base 2, because extracting embedded OOA would yield OOA(2²⁴⁴, 63, S₂, 4, 193), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 3844 659212 957764 301173 255361 616590 690440 604959 601346 852872 615094 012740 632576 / 97 > 2²⁴⁴ [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 (51, 245, 63)-net in base 2	[i]		m-Reduction
2	No (51, 246, 63)-net in base 2	[i]
3	No (51, 247, 63)-net in base 2	[i]
4	No (51, 248, 63)-net in base 2	[i]
5	No (51, 249, 63)-net in base 2	[i]
6	No (51, 250, 63)-net in base 2	[i]
7	No (51, 251, 63)-net in base 2	[i]
8	No (51, 252, 63)-net in base 2	[i]
9	No (51, 253, 63)-net in base 2	[i]
10	No (51, 254, 63)-net in base 2	[i]
11	No (51, 255, 63)-net in base 2	[i]
12	No (51, 256, 63)-net in base 2	[i]
13	No (51, 257, 63)-net in base 2	[i]
14	No (51, 258, 63)-net in base 2	[i]
15	No (51, 259, 63)-net in base 2	[i]
16	No (51, 260, 63)-net in base 2	[i]