MinT - Information on Result #521513

Information on Result #521513

There is no (45, 219, 112)-net in base 3, because extracting embedded OOA would yield OOA(3²¹⁹, 112, S₃, 2, 174), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 8335 248417 898089 038639 422182 220625 700315 950641 493051 894370 647422 773355 762538 053940 268612 352977 320694 855609 / 25 > 3²¹⁹ [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 (45, 220, 112)-net in base 3	[i]		m-Reduction
2	No (45, 221, 112)-net in base 3	[i]
3	No (45, 222, 112)-net in base 3	[i]
4	No (45, 223, 112)-net in base 3	[i]
5	No (45, 224, 112)-net in base 3	[i]
6	No (45, 225, 112)-net in base 3	[i]
7	No (45, 226, 112)-net in base 3	[i]
8	No (45, 227, 112)-net in base 3	[i]
9	No (45, 228, 112)-net in base 3	[i]
10	No (45, 229, 112)-net in base 3	[i]
11	No (45, 230, 112)-net in base 3	[i]
12	No (45, 231, 112)-net in base 3	[i]
13	No (45, 232, 112)-net in base 3	[i]
14	No (45, 233, 112)-net in base 3	[i]
15	No (45, 234, 112)-net in base 3	[i]
16	No (45, 235, 112)-net in base 3	[i]
17	No (45, 236, 112)-net in base 3	[i]
18	No (45, 237, 112)-net in base 3	[i]
19	No (45, 238, 112)-net in base 3	[i]
20	No (45, 239, 112)-net in base 3	[i]
21	No (45, 240, 112)-net in base 3	[i]
22	No (45, 241, 112)-net in base 3	[i]
23	No (45, 242, 112)-net in base 3	[i]
24	No (45, 243, 112)-net in base 3	[i]
25	No (45, 244, 112)-net in base 3	[i]
26	No (45, 245, 112)-net in base 3	[i]
27	No (45, 246, 112)-net in base 3	[i]
28	No (45, 247, 112)-net in base 3	[i]
29	No (45, 248, 112)-net in base 3	[i]
30	No (45, 249, 112)-net in base 3	[i]
31	No (45, 250, 112)-net in base 3	[i]