Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Recursive Construction of Permutation Polynomials over
  $\mathbb{F}_{q^2}$ with Odd Characteristic from R\'{e}dei Functions   In this paper, we construct two classes of permutation polynomials over
$\mathbb{F}_{q^2}$ with odd characteristic from rational R\'{e}dei functions. A
complete characterization of their compositional inverses is also given. These
permutation polynomials can be generated recursively. As a consequence, we can
generate recursively permutation polynomials with arbitrary number of terms.
More importantly, the conditions of these polynomials being permutations are
very easy to characterize. For wide applications in practice, several classes
of permutation binomials and trinomials are given. With the help of a computer,
we find that the number of permutation polynomials of these types is very
large.

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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: stat
8
The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
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The categories of this paper are: adap-org