Information on Result #522234
There is no (38, 162, 166)-net in base 4, because extracting embedded orthogonal array would yield OA(4162, 166, S4, 124), but
- the (dual) Plotkin bound shows that M ≥ 4374 501449 566023 848745 004454 235242 730706 338861 786424 872851 541212 819905 998398 751846 447026 354046 107648 / 125 > 4162 [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 (38, 163, 166)-net in base 4 | [i] | m-Reduction | |
2 | No (38, 164, 166)-net in base 4 | [i] | ||
3 | No (38, 165, 166)-net in base 4 | [i] | ||
4 | No (38, 166, 166)-net in base 4 | [i] | ||
5 | No (38, 167, 166)-net in base 4 | [i] | ||
6 | No (38, 168, 166)-net in base 4 | [i] | ||
7 | No (38, 169, 166)-net in base 4 | [i] | ||
8 | No (38, 170, 166)-net in base 4 | [i] | ||
9 | No (38, 171, 166)-net in base 4 | [i] | ||
10 | No (38, 172, 166)-net in base 4 | [i] | ||
11 | No (38, 173, 166)-net in base 4 | [i] | ||
12 | No (38, 174, 166)-net in base 4 | [i] | ||
13 | No (38, 175, 166)-net in base 4 | [i] | ||
14 | No (38, 176, 166)-net in base 4 | [i] | ||
15 | No (38, 177, 166)-net in base 4 | [i] | ||
16 | No (38, 178, 166)-net in base 4 | [i] | ||
17 | No (38, 179, 166)-net in base 4 | [i] | ||
18 | No (38, 180, 166)-net in base 4 | [i] | ||
19 | No (38, 181, 166)-net in base 4 | [i] | ||
20 | No (38, 182, 166)-net in base 4 | [i] | ||
21 | No (38, 183, 166)-net in base 4 | [i] | ||
22 | No (38, 184, 166)-net in base 4 | [i] | ||
23 | No (38, 185, 166)-net in base 4 | [i] | ||
24 | No (38, 186, 166)-net in base 4 | [i] | ||
25 | No (38, 187, 166)-net in base 4 | [i] | ||
26 | No (38, 188, 166)-net in base 4 | [i] | ||
27 | No (38, 189, 166)-net in base 4 | [i] | ||
28 | No (38, 190, 166)-net in base 4 | [i] | ||
29 | No (38, 191, 166)-net in base 4 | [i] | ||
30 | No (38, 192, 166)-net in base 4 | [i] | ||
31 | No (38, 193, 166)-net in base 4 | [i] | ||
32 | No (38, 194, 166)-net in base 4 | [i] | ||
33 | No (38, 195, 166)-net in base 4 | [i] | ||
34 | No (38, 196, 166)-net in base 4 | [i] | ||
35 | No (38, 197, 166)-net in base 4 | [i] | ||
36 | No (38, 198, 166)-net in base 4 | [i] | ||
37 | No (38, 199, 166)-net in base 4 | [i] | ||
38 | No (38, 200, 166)-net in base 4 | [i] | ||
39 | No (38, 201, 166)-net in base 4 | [i] | ||
40 | No (38, 202, 166)-net in base 4 | [i] | ||
41 | No (38, 203, 166)-net in base 4 | [i] | ||
42 | No (38, 204, 166)-net in base 4 | [i] | ||
43 | No (38, 205, 166)-net in base 4 | [i] | ||
44 | No (38, 206, 166)-net in base 4 | [i] | ||
45 | No (38, 207, 166)-net in base 4 | [i] | ||
46 | No (38, 208, 166)-net in base 4 | [i] | ||
47 | No (38, 209, 166)-net in base 4 | [i] | ||
48 | No (38, 210, 166)-net in base 4 | [i] | ||
49 | No (38, 211, 166)-net in base 4 | [i] | ||
50 | No (38, 212, 166)-net in base 4 | [i] | ||
51 | No (38, 213, 166)-net in base 4 | [i] | ||
52 | No (38, 214, 166)-net in base 4 | [i] | ||
53 | No (38, 215, 166)-net in base 4 | [i] | ||
54 | No (38, 216, 166)-net in base 4 | [i] | ||
55 | No (38, 217, 166)-net in base 4 | [i] | ||
56 | No (38, 218, 166)-net in base 4 | [i] | ||
57 | No (38, 219, 166)-net in base 4 | [i] | ||
58 | No (38, 220, 166)-net in base 4 | [i] | ||
59 | No (38, 221, 166)-net in base 4 | [i] | ||
60 | No (38, 222, 166)-net in base 4 | [i] | ||
61 | No (38, 223, 166)-net in base 4 | [i] | ||
62 | No (38, 224, 166)-net in base 4 | [i] | ||
63 | No (38, 225, 166)-net in base 4 | [i] | ||
64 | No (38, 226, 166)-net in base 4 | [i] | ||
65 | No (38, 227, 166)-net in base 4 | [i] | ||
66 | No (38, 228, 166)-net in base 4 | [i] | ||
67 | No (38, 229, 166)-net in base 4 | [i] | ||
68 | No (38, 230, 166)-net in base 4 | [i] | ||
69 | No (38, 231, 166)-net in base 4 | [i] | ||
70 | No (38, 232, 166)-net in base 4 | [i] | ||
71 | No (38, 233, 166)-net in base 4 | [i] | ||
72 | No (38, 234, 166)-net in base 4 | [i] | ||
73 | No (38, 235, 166)-net in base 4 | [i] | ||
74 | No (38, 236, 166)-net in base 4 | [i] | ||
75 | No (38, 237, 166)-net in base 4 | [i] | ||
76 | No (38, 238, 166)-net in base 4 | [i] | ||
77 | No (38, 239, 166)-net in base 4 | [i] | ||
78 | No (38, 240, 166)-net in base 4 | [i] | ||
79 | No (38, 241, 166)-net in base 4 | [i] | ||
80 | No (38, 242, 166)-net in base 4 | [i] | ||
81 | No (38, 243, 166)-net in base 4 | [i] | ||
82 | No (38, 244, 166)-net in base 4 | [i] | ||
83 | No (38, 245, 166)-net in base 4 | [i] | ||
84 | No (38, 246, 166)-net in base 4 | [i] | ||
85 | No (38, 247, 166)-net in base 4 | [i] | ||
86 | No (38, 248, 166)-net in base 4 | [i] | ||
87 | No (38, 249, 166)-net in base 4 | [i] | ||
88 | No (38, 250, 166)-net in base 4 | [i] | ||
89 | No (38, 251, 166)-net in base 4 | [i] | ||
90 | No (38, 252, 166)-net in base 4 | [i] | ||
91 | No (38, 253, 166)-net in base 4 | [i] | ||
92 | No (38, 254, 166)-net in base 4 | [i] | ||
93 | No (38, 255, 166)-net in base 4 | [i] | ||
94 | No (38, 256, 166)-net in base 4 | [i] | ||
95 | No (38, 257, 166)-net in base 4 | [i] | ||
96 | No (38, 258, 166)-net in base 4 | [i] | ||
97 | No (38, 259, 166)-net in base 4 | [i] | ||
98 | No (38, 260, 166)-net in base 4 | [i] |