Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit factorization of $x^n-1\in \mathbb F_q[x]$   Let $\mathbb F_q$ be a finite field and $n$ a positive integer. In this
article, we prove that, under some conditions on $q$ and $n$, the polynomial
$x^n-1$ can be split into irreducible binomials $x^t-a$ and an explicit
factorization into irreducible factors is given.
  Finally, weakening one of our hypothesis, we also obtain factors of the form
$x^{2t}-ax^t+b$ and explicit splitting of $x^n-1$ into irreducible factors is
given.

19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph