Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Permutation Binomials over Finite Fields   Let $\mathbb F_q$ denote the finite field with $q$ elements. In this paper we
use the relationship between suitable polynomials and number of rational points
on algebraic curves to give the exact number of elements $a\in \mathbb F_q$ for
which the binomial $x^n(x^{(q-1)/r} + a)$ is a permutation polynomial in the
cases $r = 2$ and $r = 3$.

16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas