MinT - Information on Result #520361

Information on Result #520361

There is no (40, 240, 50)-net in base 2, because extracting embedded OOA would yield OOA(2²⁴⁰, 50, S₂, 5, 200), but

the LP bound with quadratic polynomials shows that MÂ â‰¥ 669 635037 551007 660912 069752 781566 117498 616396 915859 585128 088750 289902 895104 / 335 > 2²⁴⁰ [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 (40, 241, 50)-net in base 2	[i]		m-Reduction
2	No (40, 242, 50)-net in base 2	[i]
3	No (40, 243, 50)-net in base 2	[i]
4	No (40, 244, 50)-net in base 2	[i]
5	No (40, 245, 50)-net in base 2	[i]
6	No (40, 246, 50)-net in base 2	[i]
7	No (40, 247, 50)-net in base 2	[i]
8	No (40, 248, 50)-net in base 2	[i]
9	No (40, 249, 50)-net in base 2	[i]
10	No (40, 250, 50)-net in base 2	[i]
11	No (40, 251, 50)-net in base 2	[i]
12	No (40, 252, 50)-net in base 2	[i]
13	No (40, 253, 50)-net in base 2	[i]
14	No (40, 254, 50)-net in base 2	[i]
15	No (40, 255, 50)-net in base 2	[i]
16	No (40, 256, 50)-net in base 2	[i]
17	No (40, 257, 50)-net in base 2	[i]
18	No (40, 258, 50)-net in base 2	[i]
19	No (40, 259, 50)-net in base 2	[i]
20	No (40, 260, 50)-net in base 2	[i]