Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Z-complementary Code Set From Generalized Reed-Muller Codes   Z-complementary code set (ZCCS), an extension of perfect complementary codes
(CCs), refers to a set of two-dimensional matrices having zero correlation zone
properties. ZCCS can be used in various multi-channel systems to support, for
example, quasi-synchronous interference-free multicarrier code-division
multiple access communication and optimal channel estimation in multiple-input
multiple-output systems. Traditional constructions of ZCCS heavily rely on a
series of sequence operations which may not be feasible for rapid hardware
generation particularly for long ZCCSs. In this paper, we propose a direct
construction of ZCCS using second-order Reed-Muller codes with efficient
graphical representation. Our proposed construction, valid for any number of
isolated vertices present in the graph, is capable of generating optimal ZCCS
meeting the set size upper bound.

19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th