MinT - Information on Result #521347

Information on Result #521347

There is no (30, 214, 73)-net in base 3, because extracting embedded OOA would yield OOA(3²¹⁴, 73, S₃, 3, 184), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 354 448149 457943 429626 642095 540246 086021 665939 487358 859705 747695 618620 066719 725201 849556 903898 898410 892351 / 185 > 3²¹⁴ [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 (30, 215, 73)-net in base 3	[i]		m-Reduction
2	No (30, 216, 73)-net in base 3	[i]
3	No (30, 217, 73)-net in base 3	[i]
4	No (30, 218, 73)-net in base 3	[i]
5	No (30, 219, 73)-net in base 3	[i]
6	No (30, 220, 73)-net in base 3	[i]
7	No (30, 221, 73)-net in base 3	[i]
8	No (30, 222, 73)-net in base 3	[i]
9	No (30, 223, 73)-net in base 3	[i]
10	No (30, 224, 73)-net in base 3	[i]
11	No (30, 225, 73)-net in base 3	[i]
12	No (30, 226, 73)-net in base 3	[i]
13	No (30, 227, 73)-net in base 3	[i]
14	No (30, 228, 73)-net in base 3	[i]
15	No (30, 229, 73)-net in base 3	[i]
16	No (30, 230, 73)-net in base 3	[i]
17	No (30, 231, 73)-net in base 3	[i]
18	No (30, 232, 73)-net in base 3	[i]
19	No (30, 233, 73)-net in base 3	[i]
20	No (30, 234, 73)-net in base 3	[i]
21	No (30, 235, 73)-net in base 3	[i]
22	No (30, 236, 73)-net in base 3	[i]
23	No (30, 237, 73)-net in base 3	[i]
24	No (30, 238, 73)-net in base 3	[i]
25	No (30, 239, 73)-net in base 3	[i]
26	No (30, 240, 73)-net in base 3	[i]
27	No (30, 241, 73)-net in base 3	[i]
28	No (30, 242, 73)-net in base 3	[i]
29	No (30, 243, 73)-net in base 3	[i]
30	No (30, 244, 73)-net in base 3	[i]
31	No (30, 245, 73)-net in base 3	[i]
32	No (30, 246, 73)-net in base 3	[i]
33	No (30, 247, 73)-net in base 3	[i]
34	No (30, 248, 73)-net in base 3	[i]
35	No (30, 249, 73)-net in base 3	[i]
36	No (30, 250, 73)-net in base 3	[i]