MinT - Information on Result #520231

Information on Result #520231

There is no (27, 171, 36)-net in base 2, because extracting embedded OOA would yield OOA(2¹⁷¹, 36, S₂, 5, 144), but

the LP bound with quadratic polynomials shows that MÂ â‰¥ 2 351123 529980 772848 125940 605130 015358 852577 305615 663104 / 725 > 2¹⁷¹ [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 (27, 172, 36)-net in base 2	[i]		m-Reduction
2	No (27, 173, 36)-net in base 2	[i]
3	No (27, 174, 36)-net in base 2	[i]
4	No (27, 175, 36)-net in base 2	[i]
5	No (27, 176, 36)-net in base 2	[i]
6	No (27, 177, 36)-net in base 2	[i]
7	No (27, 178, 36)-net in base 2	[i]
8	No (27, 179, 36)-net in base 2	[i]
9	No (27, 180, 36)-net in base 2	[i]
10	No (27, 181, 36)-net in base 2	[i]
11	No (27, 182, 36)-net in base 2	[i]
12	No (27, 183, 36)-net in base 2	[i]
13	No (27, 184, 36)-net in base 2	[i]
14	No (27, 185, 36)-net in base 2	[i]
15	No (27, 186, 36)-net in base 2	[i]
16	No (27, 187, 36)-net in base 2	[i]
17	No (27, 188, 36)-net in base 2	[i]
18	No (27, 189, 36)-net in base 2	[i]
19	No (27, 190, 36)-net in base 2	[i]
20	No (27, 191, 36)-net in base 2	[i]
21	No (27, 192, 36)-net in base 2	[i]
22	No (27, 193, 36)-net in base 2	[i]
23	No (27, 194, 36)-net in base 2	[i]
24	No (27, 195, 36)-net in base 2	[i]
25	No (27, 196, 36)-net in base 2	[i]
26	No (27, 197, 36)-net in base 2	[i]
27	No (27, 198, 36)-net in base 2	[i]
28	No (27, 199, 36)-net in base 2	[i]
29	No (27, 200, 36)-net in base 2	[i]
30	No (27, 201, 36)-net in base 2	[i]
31	No (27, 202, 36)-net in base 2	[i]