Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The 4-error linear complexity distribution for $2^n$-periodic binary
  sequences   By using the sieve method of combinatorics, we study $k$-error linear
complexity distribution of $2^n$-periodic binary sequences based on Games-Chan
algorithm. For $k=4,5$, the complete counting functions on the $k$-error linear
complexity of $2^n$-periodic balanced binary sequences (with linear complexity
less than $2^n$) are presented. As a consequence of the result, the complete
counting functions on the 4-error linear complexity of $2^n$-periodic binary
sequences (with linear complexity $2^n$ or less than $2^n$) are obvious.
Generally, the complete counting functions on the $k$-error linear complexity
of $2^n$-periodic binary sequences can be obtained with a similar approach.

12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga