Work

Constructions of golay complementary (array) sets based on extended boolean functions

Year: 2024

Type: article

Abstract: In this paper, we propose a direct construction of Golay complementary sets (GCSs) with flexible length $ aq^m $ for set size $ q^{k} $ using extended Boolean functions (EBFs), where $ a $ and $ q $ are positive integers with $ a\leq q $. As an extension of GCSs, we also propose two-dimensional (2-D) Golay complementary array sets (GCASs) using 2-D EBFs. The parameters of the proposed GCASs are more flexible as compared to the previous works.

Source: Advances in Mathematics of Communications

DOI: 10.3934/amc.2024043

Authors: Chen Liu, Cuiling Fan, Wei Su, Meng Yang

Institutions: Southwest Jiaotong University, Southwestern University of Finance and Economics

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404143982

FWCI: 0.147

Cites: 24

Cited by: 1

Related to: 10