Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlation, Linear Complexity, Maximum order Complexity on Families of
  binary Sequences   Correlation measure of order $k$ is an important measure of randomness in
binary sequences. This measure tries to look for dependence between several
shifted version of a sequence.
  We study the relation between the correlation measure of order $k$ and
another two pseudorandom measures: the $N$th linear complexity and the $N$th
maximum order complexity. We simplify and improve several state-of-the-art
lower bounds for these two measures using the Hamming bound as well as weaker
bounds derived from it.

34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci