Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A complete characterization of the APN property of a class of
  quadrinomials   In this paper, by the Hasse-Weil bound, we determine the necessary and
sufficient condition on coefficients $a_1,a_2,a_3\in\mathbb{F}_{2^n}$ with
$n=2m$ such that $f(x) = {x}^{3\cdot2^m} + a_1x^{2^{m+1}+1} + a_2 x^{2^m+2} +
a_3x^3$ is an APN function over $\mathbb{F}_{2^n}$. Our result resolves the
first half of an open problem by Carlet in International Workshop on the
Arithmetic of Finite Fields, 83-107, 2014.

3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat