Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A quaternion-based approach to construct quaternary periodic
  complementary pairs   Two arrays form a periodic complementary pair if the sum of their periodic
autocorrelations is a delta function. Finding such pairs, however, is
challenging for large arrays whose entries are constrained to a small alphabet.
One such alphabet is the quaternary set which contains the complex fourth roots
of unity. In this paper, we propose a technique to construct periodic
complementary pairs defined over the quaternary set using perfect quaternion
arrays. We show how new pairs of quaternary sequences, matrices, and
four-dimensional arrays that satisfy a periodic complementary property can be
constructed with our method.

28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th