Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One-stroke polynomials over a ring of modulo $2^w$   Permutation polynomials over a ring of modulo $2^w$ are compatible with
digital computers and digital signal processors, and so they are in particular
expected to be useful for cryptography and pseudo random number generator. In
general, the period of the polynomial should be long in such fields. In this
paper, we derive the necessary and sufficient condition which specify
one-stroke polynomials which are permutation polynomials whose periods are
maximized.

30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc