Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Period sets of linear recurrences over finite fields and related
  commutative rings   After giving an overview of the existing theory regarding the periods of
sequences defined by linear recurrences over finite fields, we give explicit
descriptions of the sets of periods that arise if one considers all sequences
over $\mathbb{F}_q$ generated by linear recurrences for a fixed choice of the
degree $k$ in the range $1 \leq k \leq 4$. We also investigate the periods of
sequences generated by linear recurrences over rings of the form
$\mathbb{F}_{q_1} \oplus \ldots \oplus \mathbb{F}_{q_r}$.

19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci