MinT - Information on Result #520259

Information on Result #520259

There is no (30, 151, 40)-net in base 2, because extracting embedded OOA would yield OOA(2¹⁵¹, 40, S₂, 4, 121), but

the LP bound with quadratic polynomials shows that MÂ â‰¥ 176265 090049 186045 310698 317227 012649 343269 208064 / 61 > 2¹⁵¹ [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 (30, 152, 40)-net in base 2	[i]		m-Reduction
2	No (30, 153, 40)-net in base 2	[i]
3	No (30, 154, 40)-net in base 2	[i]
4	No (30, 155, 40)-net in base 2	[i]
5	No (30, 156, 40)-net in base 2	[i]
6	No (30, 157, 40)-net in base 2	[i]
7	No (30, 158, 40)-net in base 2	[i]
8	No (30, 159, 40)-net in base 2	[i]
9	No (30, 160, 40)-net in base 2	[i]
10	No (30, 161, 40)-net in base 2	[i]
11	No (30, 162, 40)-net in base 2	[i]
12	No (30, 163, 40)-net in base 2	[i]
13	No (30, 164, 40)-net in base 2	[i]
14	No (30, 165, 40)-net in base 2	[i]
15	No (30, 166, 40)-net in base 2	[i]
16	No (30, 167, 40)-net in base 2	[i]
17	No (30, 168, 40)-net in base 2	[i]
18	No (30, 169, 40)-net in base 2	[i]
19	No (30, 170, 40)-net in base 2	[i]
20	No (30, 171, 40)-net in base 2	[i]
21	No (30, 172, 40)-net in base 2	[i]
22	No (30, 173, 40)-net in base 2	[i]
23	No (30, 174, 40)-net in base 2	[i]
24	No (30, 175, 40)-net in base 2	[i]
25	No (30, 176, 40)-net in base 2	[i]
26	No (30, 177, 40)-net in base 2	[i]
27	No (30, 178, 40)-net in base 2	[i]
28	No (30, 179, 40)-net in base 2	[i]
29	No (30, 180, 40)-net in base 2	[i]
30	No (30, 181, 40)-net in base 2	[i]
31	No (30, 182, 40)-net in base 2	[i]
32	No (30, 183, 40)-net in base 2	[i]
33	No (30, 184, 40)-net in base 2	[i]
34	No (30, 185, 40)-net in base 2	[i]
35	No (30, 186, 40)-net in base 2	[i]