Work

A construction of a two-dimensional zero correlation zone array set based on generalized Boolean functions

Year: 2025

Type: article

Abstract: In this paper, for the first time, we propose a direct construction of the two-dimensional (2D) zero correlation zone (ZCZ) array set based on a generalized Boolean function, which does not require any particular array as seed. The proposed construction generates $ 2^{\lambda+1} $ ZCZ array sets of dimension $ (2^n,2^{m+\lambda+2}) $ with ZCZ width $ ({2^n-1, 2^m}) $, where $ m,n \geq \lambda $ are positive integers. The proposed construction finds its application in bar codes, position detection, diffraction patterns for calibrating a laser beam, sound source arrays, phased array antennas, position detection arrays, spatial correlation and time-frequency coding.

Source: Advances in Mathematics of Communications

DOI: 10.3934/amc.2025023

Authors: Aditya Prakash, Tzu-Chieh Kao, Prashant Kumar Srivastava, Sudhan Majhi, Chao-Yu Chen

Institutions: Indian Institute of Technology Patna, National Cheng Kung University, Indian Institute of Science Bangalore

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funders: Council of Scientific and Industrial Research, India, National Science and Technology Council, Science and Engineering Research Board

Awards: G4471123424, G8214266341