Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enumeration of a special class of irreducible polynomials in
  characteristic 2   A-polynomials were introduced by Meyn and play an important role in the
iterative construction of high degree self-reciprocal irreducible polynomials
over the field F_2, since they constitute the starting point of the iteration.
The exact number of A-polynomials of each degree was given by Niederreiter.
Kyuregyan extended the construction of Meyn to arbitrary even finite fields. We
relate the A-polynomials in this more general setting to inert places in a
certain extension of elliptic function fields and obtain an explicit counting
formula for their number. In particular, we are able to show that, except for
an isolated exception, there exist A-polynomials of every degree.

29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th