MinT - Information on Result #521129

Information on Result #521129

There is no (16, 51, 58)-net in base 3, because extracting embedded orthogonal array would yield OA(3⁵¹, 58, S₃, 35), but

the linear programming bound shows that MÂ â‰¥ 2151 540269 112482 208544 436253 / 946 > 3⁵¹ [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 (16, 52, 58)-net in base 3	[i]		m-Reduction
2	No (16, 53, 58)-net in base 3	[i]
3	No (16, 54, 58)-net in base 3	[i]
4	No (16, 55, 58)-net in base 3	[i]
5	No (16, 56, 58)-net in base 3	[i]
6	No (16, 57, 58)-net in base 3	[i]
7	No (16, 58, 58)-net in base 3	[i]
8	No (16, 59, 58)-net in base 3	[i]
9	No (16, 60, 58)-net in base 3	[i]
10	No (16, 61, 58)-net in base 3	[i]
11	No (16, 62, 58)-net in base 3	[i]
12	No (16, 63, 58)-net in base 3	[i]
13	No (16, 64, 58)-net in base 3	[i]
14	No (16, 65, 58)-net in base 3	[i]
15	No (16, 66, 58)-net in base 3	[i]
16	No (16, 67, 58)-net in base 3	[i]
17	No (16, 68, 58)-net in base 3	[i]
18	No (16, 69, 58)-net in base 3	[i]
19	No (16, 70, 58)-net in base 3	[i]
20	No (16, 71, 58)-net in base 3	[i]
21	No (16, 72, 58)-net in base 3	[i]
22	No (16, 73, 58)-net in base 3	[i]
23	No (16, 74, 58)-net in base 3	[i]
24	No (16, 75, 58)-net in base 3	[i]
25	No (16, 76, 58)-net in base 3	[i]
26	No (16, 77, 58)-net in base 3	[i]
27	No (16, 78, 58)-net in base 3	[i]
28	No (16, 79, 58)-net in base 3	[i]
29	No (16, 80, 58)-net in base 3	[i]
30	No (16, 81, 58)-net in base 3	[i]
31	No (16, 82, 58)-net in base 3	[i]
32	No (16, 83, 58)-net in base 3	[i]
33	No (16, 84, 58)-net in base 3	[i]
34	No (16, 85, 58)-net in base 3	[i]