A New Chaos-Based Image Encryption Algorithm Based on Discrete Fourier Transform and Improved Joseph Traversal

Mingxu Wang (), Xianping Fu (), Xiaopeng Yan and Lin Teng
Additional contact information
Mingxu Wang: School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China
Xianping Fu: School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China
Xiaopeng Yan: School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China
Lin Teng: School of Information Science and Technology, Dalian Maritime University, Dalian 116026, China

Mathematics, 2024, vol. 12, issue 5, 1-19

Abstract: To further enhance the security of image encryption, a new chaos-based image encryption algorithm (IEA) based on discrete Fourier transform and Joseph traversal is proposed to encrypt the plain image in both the frequency domain and space domain simultaneously. In the proposed IEA, the logistic map is used to generate the appropriate chaotic sequence, and the improved Joseph traversal is used to scramble the image in different starting positions and variable step sizes. Then, block diffusion is performed at the end. The main finding concerning the proposed IEA is that the combination of discrete Fourier transform and Joseph traversal can enhance the security of the image information, which has been validated by measuring the performance in resisting the common types of attacks.

Keywords: image encryption; Joseph traversal; Fourier transform; logistic map (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/5/638/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/5/638/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:5:p:638-:d:1343297

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().