Information on Result #523801
There is no (1, 33, 35)-net in base 16, because extracting embedded orthogonal array would yield OA(1633, 35, S16, 32), but
- the (dual) Plotkin bound shows that M ≥ 87112 285931 760246 646623 899502 532662 132736 / 11 > 1633 [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 (1, 34, 35)-net in base 16 | [i] | m-Reduction | |
2 | No (1, 35, 35)-net in base 16 | [i] | ||
3 | No (1, 36, 35)-net in base 16 | [i] | ||
4 | No (1, 37, 35)-net in base 16 | [i] | ||
5 | No (1, 38, 35)-net in base 16 | [i] | ||
6 | No (1, 39, 35)-net in base 16 | [i] | ||
7 | No (1, 40, 35)-net in base 16 | [i] | ||
8 | No (1, 41, 35)-net in base 16 | [i] | ||
9 | No (1, 42, 35)-net in base 16 | [i] | ||
10 | No (1, 43, 35)-net in base 16 | [i] | ||
11 | No (1, 44, 35)-net in base 16 | [i] | ||
12 | No (1, 45, 35)-net in base 16 | [i] | ||
13 | No (1, 46, 35)-net in base 16 | [i] | ||
14 | No (1, 47, 35)-net in base 16 | [i] | ||
15 | No (1, 48, 35)-net in base 16 | [i] | ||
16 | No (1, 49, 35)-net in base 16 | [i] | ||
17 | No (1, 50, 35)-net in base 16 | [i] | ||
18 | No (1, 51, 35)-net in base 16 | [i] | ||
19 | No (1, 52, 35)-net in base 16 | [i] | ||
20 | No (1, 53, 35)-net in base 16 | [i] | ||
21 | No (1, 54, 35)-net in base 16 | [i] | ||
22 | No (1, 55, 35)-net in base 16 | [i] | ||
23 | No (1, 56, 35)-net in base 16 | [i] | ||
24 | No (1, 57, 35)-net in base 16 | [i] | ||
25 | No (1, 58, 35)-net in base 16 | [i] | ||
26 | No (1, 59, 35)-net in base 16 | [i] | ||
27 | No (1, 60, 35)-net in base 16 | [i] | ||
28 | No (1, 61, 35)-net in base 16 | [i] | ||
29 | No (1, 62, 35)-net in base 16 | [i] | ||
30 | No (1, 63, 35)-net in base 16 | [i] | ||
31 | No (1, 64, 35)-net in base 16 | [i] | ||
32 | No (1, 65, 35)-net in base 16 | [i] | ||
33 | No (1, 66, 35)-net in base 16 | [i] | ||
34 | No (1, 67, 35)-net in base 16 | [i] | ||
35 | No (1, 68, 35)-net in base 16 | [i] | ||
36 | No (1, 69, 35)-net in base 16 | [i] | ||
37 | No (1, 70, 35)-net in base 16 | [i] | ||
38 | No (1, 71, 35)-net in base 16 | [i] | ||
39 | No (1, 72, 35)-net in base 16 | [i] | ||
40 | No (1, 73, 35)-net in base 16 | [i] | ||
41 | No (1, 74, 35)-net in base 16 | [i] | ||
42 | No (1, 75, 35)-net in base 16 | [i] | ||
43 | No (1, 76, 35)-net in base 16 | [i] | ||
44 | No (1, 77, 35)-net in base 16 | [i] | ||
45 | No (1, 78, 35)-net in base 16 | [i] | ||
46 | No (1, 79, 35)-net in base 16 | [i] | ||
47 | No (1, 80, 35)-net in base 16 | [i] | ||
48 | No (1, 81, 35)-net in base 16 | [i] | ||
49 | No (1, 82, 35)-net in base 16 | [i] | ||
50 | No (1, 83, 35)-net in base 16 | [i] | ||
51 | No (1, 84, 35)-net in base 16 | [i] | ||
52 | No (1, 85, 35)-net in base 16 | [i] | ||
53 | No (1, 86, 35)-net in base 16 | [i] | ||
54 | No (1, 87, 35)-net in base 16 | [i] | ||
55 | No (1, 88, 35)-net in base 16 | [i] | ||
56 | No (1, 89, 35)-net in base 16 | [i] | ||
57 | No (1, 90, 35)-net in base 16 | [i] | ||
58 | No (1, 91, 35)-net in base 16 | [i] | ||
59 | No (1, 92, 35)-net in base 16 | [i] | ||
60 | No (1, 93, 35)-net in base 16 | [i] | ||
61 | No (1, 94, 35)-net in base 16 | [i] | ||
62 | No (1, 95, 35)-net in base 16 | [i] | ||
63 | No (1, 96, 35)-net in base 16 | [i] | ||
64 | No (1, 97, 35)-net in base 16 | [i] | ||
65 | No (1, 98, 35)-net in base 16 | [i] | ||
66 | No (1, 99, 35)-net in base 16 | [i] | ||
67 | No (1, 100, 35)-net in base 16 | [i] | ||
68 | No (1, 101, 35)-net in base 16 | [i] | ||
69 | No (1, 102, 35)-net in base 16 | [i] | ||
70 | No (1, 103, 35)-net in base 16 | [i] | ||
71 | No (1, 104, 35)-net in base 16 | [i] | ||
72 | No (1, 105, 35)-net in base 16 | [i] | ||
73 | No (1, 106, 35)-net in base 16 | [i] | ||
74 | No (1, 107, 35)-net in base 16 | [i] | ||
75 | No (1, 108, 35)-net in base 16 | [i] | ||
76 | No (1, 109, 35)-net in base 16 | [i] | ||
77 | No (1, 110, 35)-net in base 16 | [i] | ||
78 | No (1, 111, 35)-net in base 16 | [i] | ||
79 | No (1, 112, 35)-net in base 16 | [i] | ||
80 | No (1, 113, 35)-net in base 16 | [i] | ||
81 | No (1, 114, 35)-net in base 16 | [i] | ||
82 | No (1, 115, 35)-net in base 16 | [i] | ||
83 | No (1, 116, 35)-net in base 16 | [i] | ||
84 | No (1, 117, 35)-net in base 16 | [i] | ||
85 | No (1, 118, 35)-net in base 16 | [i] | ||
86 | No (1, 119, 35)-net in base 16 | [i] | ||
87 | No (1, 120, 35)-net in base 16 | [i] | ||
88 | No (1, 121, 35)-net in base 16 | [i] | ||
89 | No (1, 122, 35)-net in base 16 | [i] | ||
90 | No (1, 123, 35)-net in base 16 | [i] | ||
91 | No (1, 124, 35)-net in base 16 | [i] | ||
92 | No (1, 125, 35)-net in base 16 | [i] | ||
93 | No (1, 126, 35)-net in base 16 | [i] | ||
94 | No (1, 127, 35)-net in base 16 | [i] | ||
95 | No (1, 128, 35)-net in base 16 | [i] | ||
96 | No (1, 129, 35)-net in base 16 | [i] | ||
97 | No (1, 130, 35)-net in base 16 | [i] | ||
98 | No (1, m, 35)-net in base 16 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net |