MinT - Information on Result #521720

Information on Result #521720

There is no (70, 219, 224)-net in base 3, because extracting embedded orthogonal array would yield OA(3²¹⁹, 224, S₃, 149), but

the (dual) Plotkin bound 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 (70, 220, 224)-net in base 3	[i]		m-Reduction
2	No (70, 221, 224)-net in base 3	[i]
3	No (70, 222, 224)-net in base 3	[i]
4	No (70, 223, 224)-net in base 3	[i]
5	No (70, 224, 224)-net in base 3	[i]
6	No (70, 225, 224)-net in base 3	[i]
7	No (70, 226, 224)-net in base 3	[i]
8	No (70, 227, 224)-net in base 3	[i]
9	No (70, 228, 224)-net in base 3	[i]
10	No (70, 229, 224)-net in base 3	[i]
11	No (70, 230, 224)-net in base 3	[i]
12	No (70, 231, 224)-net in base 3	[i]
13	No (70, 232, 224)-net in base 3	[i]
14	No (70, 233, 224)-net in base 3	[i]
15	No (70, 234, 224)-net in base 3	[i]
16	No (70, 235, 224)-net in base 3	[i]
17	No (70, 236, 224)-net in base 3	[i]
18	No (70, 237, 224)-net in base 3	[i]
19	No (70, 238, 224)-net in base 3	[i]
20	No (70, 239, 224)-net in base 3	[i]
21	No (70, 240, 224)-net in base 3	[i]
22	No (70, 241, 224)-net in base 3	[i]
23	No (70, 242, 224)-net in base 3	[i]
24	No (70, 243, 224)-net in base 3	[i]
25	No (70, 244, 224)-net in base 3	[i]
26	No (70, 245, 224)-net in base 3	[i]
27	No (70, 246, 224)-net in base 3	[i]
28	No (70, 247, 224)-net in base 3	[i]
29	No (70, 248, 224)-net in base 3	[i]
30	No (70, 249, 224)-net in base 3	[i]
31	No (70, 250, 224)-net in base 3	[i]