MinT - Information on Result #521109

Information on Result #521109

There is no (14, 45, 52)-net in base 3, because extracting embedded orthogonal array would yield OA(3⁴⁵, 52, S₃, 31), but

the linear programming bound shows that MÂ â‰¥ 239299 329230 617529 590083 / 76 > 3⁴⁵ [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 (14, 46, 52)-net in base 3	[i]		m-Reduction
2	No (14, 47, 52)-net in base 3	[i]
3	No (14, 48, 52)-net in base 3	[i]
4	No (14, 49, 52)-net in base 3	[i]
5	No (14, 50, 52)-net in base 3	[i]
6	No (14, 51, 52)-net in base 3	[i]
7	No (14, 52, 52)-net in base 3	[i]
8	No (14, 53, 52)-net in base 3	[i]
9	No (14, 54, 52)-net in base 3	[i]
10	No (14, 55, 52)-net in base 3	[i]
11	No (14, 56, 52)-net in base 3	[i]
12	No (14, 57, 52)-net in base 3	[i]
13	No (14, 58, 52)-net in base 3	[i]
14	No (14, 59, 52)-net in base 3	[i]
15	No (14, 60, 52)-net in base 3	[i]
16	No (14, 61, 52)-net in base 3	[i]
17	No (14, 62, 52)-net in base 3	[i]
18	No (14, 63, 52)-net in base 3	[i]
19	No (14, 64, 52)-net in base 3	[i]
20	No (14, 65, 52)-net in base 3	[i]
21	No (14, 66, 52)-net in base 3	[i]
22	No (14, 67, 52)-net in base 3	[i]
23	No (14, 68, 52)-net in base 3	[i]
24	No (14, 69, 52)-net in base 3	[i]
25	No (14, 70, 52)-net in base 3	[i]
26	No (14, 71, 52)-net in base 3	[i]
27	No (14, 72, 52)-net in base 3	[i]
28	No (14, 73, 52)-net in base 3	[i]
29	No (14, 74, 52)-net in base 3	[i]
30	No (14, 75, 52)-net in base 3	[i]
31	No (14, 76, 52)-net in base 3	[i]
32	No (14, 77, 52)-net in base 3	[i]