Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Admissible family for binary perfect polynomials   The paper is about an arithmetic problem in $\F_2[x]$. We give
\emph{admissible} (necessary) conditions satisfied by a set of odd prime
divisors of perfect polynomials over $\F_2$. This allows us to prove a new
characterization of \emph{all} known perfect polynomials, and to open a way of
finding more of them (if they exist).

10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
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The categories of this paper are: stat
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
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The categories of this paper are: q-alg
7
The categories of this paper are: hep-th