MinT - Information on Result #521119

Information on Result #521119

There is no (15, 82, 43)-net in base 3, because extracting embedded OOA would yield OOA(3⁸², 43, S₃, 2, 67), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 59862 575912 810098 943013 700133 585235 528405 / 34 > 3⁸² [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, 83, 43)-net in base 3	[i]		m-Reduction
2	No (15, 84, 43)-net in base 3	[i]
3	No (15, 85, 43)-net in base 3	[i]
4	No (15, 86, 43)-net in base 3	[i]
5	No (15, 87, 43)-net in base 3	[i]
6	No (15, 88, 43)-net in base 3	[i]
7	No (15, 89, 43)-net in base 3	[i]
8	No (15, 90, 43)-net in base 3	[i]
9	No (15, 91, 43)-net in base 3	[i]
10	No (15, 92, 43)-net in base 3	[i]
11	No (15, 93, 43)-net in base 3	[i]
12	No (15, 94, 43)-net in base 3	[i]
13	No (15, 95, 43)-net in base 3	[i]
14	No (15, 96, 43)-net in base 3	[i]
15	No (15, 97, 43)-net in base 3	[i]
16	No (15, 98, 43)-net in base 3	[i]
17	No (15, 99, 43)-net in base 3	[i]
18	No (15, 100, 43)-net in base 3	[i]
19	No (15, 101, 43)-net in base 3	[i]
20	No (15, 102, 43)-net in base 3	[i]
21	No (15, 103, 43)-net in base 3	[i]
22	No (15, 104, 43)-net in base 3	[i]
23	No (15, 105, 43)-net in base 3	[i]
24	No (15, 106, 43)-net in base 3	[i]
25	No (15, 107, 43)-net in base 3	[i]
26	No (15, 108, 43)-net in base 3	[i]
27	No (15, 109, 43)-net in base 3	[i]
28	No (15, 110, 43)-net in base 3	[i]
29	No (15, 111, 43)-net in base 3	[i]
30	No (15, 112, 43)-net in base 3	[i]
31	No (15, 113, 43)-net in base 3	[i]
32	No (15, 114, 43)-net in base 3	[i]
33	No (15, 115, 43)-net in base 3	[i]
34	No (15, 116, 43)-net in base 3	[i]