Secure communication with chaotic systems of difference equations

Author

Papadimitriou, Stergios ; Bezerianos, Anastasios ; Bountis, Tassos

Author_Institution

Patras Univ., Greece

Volume

46

Issue

1

fYear

1997

fDate

1/1/1997 12:00:00 AM

Firstpage

27

Lastpage

38

Abstract

The paper presents chaotic systems of difference equations that can effectively encrypt information. Two classes of systems are presented: The first one (Class 1) is optimized for secure communications over reliable channels, while the second (Class 2) tolerates transmission noise at the expense of reduced parameter space size. The nonlinearity of these systems is achieved by designing proper piecewise linear functions and by using module operations. The utilization of additional nonlinear terms can improve the enciphering efficiency. The encrypting performance of the algorithms is evaluated analytically and by simulation experiments. Also, the case of an imperfect transmission channel that inserts noise in the transmitted signal is addressed and the design is modified in order to offer reliable secure transmission over channels with very small signal to noise ratios

Keywords

cryptography; difference equations; piecewise-linear techniques; chaotic systems; difference equations; information encryption; module operations; piecewise linear functions; secure communication; transmission noise; Algorithm design and analysis; Analytical models; Chaotic communication; Cryptography; Difference equations; Noise reduction; Performance analysis; Piecewise linear techniques; Signal design; Signal to noise ratio;

fLanguage

English

Journal_Title

Computers, IEEE Transactions on

Publisher

ieee

ISSN

0018-9340

Type

jour

DOI

10.1109/12.559800

Filename

559800