MinT - Information on Result #521118

Information on Result #521118

There is no (15, 48, 55)-net in base 3, because extracting embedded orthogonal array would yield OA(3⁴⁸, 55, S₃, 33), but

the linear programming bound shows that MÂ â‰¥ 58 149737 003040 059690 390169 / 697 > 3⁴⁸ [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 (15, 49, 55)-net in base 3	[i]		m-Reduction
2	No (15, 50, 55)-net in base 3	[i]
3	No (15, 51, 55)-net in base 3	[i]
4	No (15, 52, 55)-net in base 3	[i]
5	No (15, 53, 55)-net in base 3	[i]
6	No (15, 54, 55)-net in base 3	[i]
7	No (15, 55, 55)-net in base 3	[i]
8	No (15, 56, 55)-net in base 3	[i]
9	No (15, 57, 55)-net in base 3	[i]
10	No (15, 58, 55)-net in base 3	[i]
11	No (15, 59, 55)-net in base 3	[i]
12	No (15, 60, 55)-net in base 3	[i]
13	No (15, 61, 55)-net in base 3	[i]
14	No (15, 62, 55)-net in base 3	[i]
15	No (15, 63, 55)-net in base 3	[i]
16	No (15, 64, 55)-net in base 3	[i]
17	No (15, 65, 55)-net in base 3	[i]
18	No (15, 66, 55)-net in base 3	[i]
19	No (15, 67, 55)-net in base 3	[i]
20	No (15, 68, 55)-net in base 3	[i]
21	No (15, 69, 55)-net in base 3	[i]
22	No (15, 70, 55)-net in base 3	[i]
23	No (15, 71, 55)-net in base 3	[i]
24	No (15, 72, 55)-net in base 3	[i]
25	No (15, 73, 55)-net in base 3	[i]
26	No (15, 74, 55)-net in base 3	[i]
27	No (15, 75, 55)-net in base 3	[i]
28	No (15, 76, 55)-net in base 3	[i]
29	No (15, 77, 55)-net in base 3	[i]
30	No (15, 78, 55)-net in base 3	[i]
31	No (15, 79, 55)-net in base 3	[i]
32	No (15, 80, 55)-net in base 3	[i]
33	No (15, 81, 55)-net in base 3	[i]