Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On period polynomials of degree $2^m$ and weight distributions of
  certain irreducible cyclic codes   We explicitly determine the values of reduced cyclotomic periods of order
$2^m$, $m\ge 4$, for finite fields of characteristic $p\equiv 3$ or
$5\pmod{8}$. These evaluations are applied to obtain explicit factorizations of
the corresponding reduced period polynomials. As another application, the
weight distributions of certain irreducible cyclic codes are described.

18
The categories of this paper are: econ
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The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
3
The categories of this paper are: physics
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The categories of this paper are: chem-ph