Information on Result #1966973
There is no (m−2, m, s)-net in base 256 with bounded m for arbitrarily large s, because lower bound on t for nets with strength k = 2 and arbitrarily large dimension s
Mode: Bound.
Optimality
Show details for fixed k and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | No (m−3, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | t-Expansion | |
2 | No (m−4, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
3 | No (m−5, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
4 | No (m−6, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
5 | No (m−7, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
6 | No (m−8, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
7 | No (m−9, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
8 | No (m−10, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
9 | No (m−11, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
10 | No (m−12, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
11 | No (m−13, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
12 | No (m−14, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
13 | No (m−15, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
14 | No (m−16, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
15 | No (m−17, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
16 | No (m−18, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
17 | No (m−19, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
18 | No (m−20, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
19 | No (m−21, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
20 | No (m−22, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
21 | No (m−23, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
22 | No (m−24, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
23 | No (m−25, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
24 | No (m−26, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
25 | No (m−27, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
26 | No (m−28, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
27 | No (m−29, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
28 | No (m−30, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
29 | No (m−31, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
30 | No (m−32, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
31 | No (m−33, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
32 | No (m−34, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
33 | No (m−35, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
34 | No (m−36, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
35 | No (m−37, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
36 | No (m−38, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
37 | No (m−39, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
38 | No (m−40, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
39 | No (m−41, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
40 | No (m−42, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
41 | No (m−43, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
42 | No (m−44, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
43 | No (m−45, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
44 | No (m−46, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
45 | No (m−47, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
46 | No (m−48, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
47 | No (m−49, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
48 | No (m−50, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
49 | No (m−51, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
50 | No (m−52, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
51 | No (m−53, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
52 | No (m−54, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
53 | No (m−55, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
54 | No (m−56, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
55 | No (m−57, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
56 | No (m−58, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
57 | No (m−59, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
58 | No (m−60, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
59 | No (m−61, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
60 | No (m−62, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
61 | No (m−63, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
62 | No (m−64, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
63 | No (m−65, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
64 | No (m−66, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
65 | No (m−67, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] | ||
66 | No (m−68, m, s)-net in base 256 with bounded m for arbitrarily large s | [i] |