Real-World Chaos-Based Cryptography Using Synchronised Chua Chaotic Circuits Emiliia Nazarenko Nikolaos Athanasios Anagnostopoulos Stavros G. Stavrinides

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Real-World Chaos-Based Cryptography Using

Synchronised Chua Chaotic Circuits

Emiliia Nazarenko∗, Nikolaos Athanasios Anagnostopoulos∗†, Stavros G. Stavrinides‡,

Nico Mexis∗, Florian Frank∗, Tolga Arul∗†, Stefan Katzenbeisser∗

∗Faculty of Computer Science and Mathematics, University of Passau, Innstraße 43, 94032 Passau, Germany

Emails: {nazare02, anagno02, mexis01, frank55, arul01, katzen07}@ads.uni-passau.de

†Computer Science Department, Technical University of Darmstadt, Hochschulstraße 10, 64289 Darmstadt, Germany

Emails: {anagnostopoulos, arul}@seceng.informatik.tu-darmstadt.de

‡School of Science and Technology, International Hellenic University, Thermi Campus, 57001 Thessaloniki, Greece

Email: s.stavrinides@ihu.edu.gr

Abstract—This work presents the hardware demonstrator of

a secure encryption system based on synchronised Chua chaotic

circuits. In particular, the presented encryption system comprises

two Chua circuits that are synchronised using a dedicated

bidirectional synchronisation line. One of them forms part of

the transmitter, while the other of the receiver. Both circuits are

tuned to operate in a chaotic mode. The output (chaotic) signal of

the ﬁrst circuit (transmitter) is digitised and then combined with

the message to be encrypted, through an XOR gate. The second

Chua circuit (receiver) is used for the decryption; the output

chaotic signal of this circuit is similarly digitised and combined

with the encrypted message to retrieve the original message. Our

hardware demonstrator proves that this method can be used in

order to provide extremely lightweight real-world, chaos-based

cryptographic solutions.

Index Terms—chaos, Chua circuit, stream encryption, security

INTRODUCTION

The rapid increase in the number of electronic devices

in everyday use leads to an unlimited growth of vulnerable

communication that must be protected from possible attacks.

Having in focus the growing Internet of Things ecosystem, as

well as edge computing, secure data transmission appears as a

very important part. One of the strongest tools for mitigating

attacks on electronic communications, is cryptography.

In our work, we focus on securing the transmitted informa-

tion through symmetric stream cryptography that is based on

the chaotic signal produced by two synchronised Chua chaotic

circuits [1], one of which forms part of the transmitter and

the other of the receiver. The produced chaotic signal acts as

a random number stream that is shared by the synchronised

chaotic circuits. Thus, the message can be encrypted at the

transmitter by being XORed with a digitised form of the

aforementioned chaotic signal, and decrypted at the receiver

by XORing the encrypted message stream with the digitised

form of the same chaotic signal.

DESCRIPTION OF THE HARDWARE DEMONSTRATOR

A simpliﬁed architecture of the proposed synchronized

chaotic encryption-decryption system is shown in Figure 1.

Funded by DFG, under Projects 440182124 and 439892735 of SPP 2253,

and by BMBF under Joint Project 16KISK034 for the 6G-RIC.

Fig. 1. The overall architecture of the encryption-decryption system.

A proof-of-concept circuit of this system has been designed

and appears in Figure 2, which demonstrates the full circuitry.

The relevant characteristics and values of the components used

for implementing the circuits are listed in Table I.

Fig. 2. Schematic diagram of the overall implemented system.

arXiv:2210.11299v2 [cs.CR] 13 Jul 2023

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Real-WorldChaos-BasedCryptographyUsingSynchronisedChuaChaoticCircuitsEmiliiaNazarenko∗,NikolaosAthanasiosAnagnostopoulos∗†,StavrosG.Stavrinides‡,NicoMexis∗,FlorianFrank∗,TolgaArul∗†,StefanKatzenbeisser∗∗FacultyofComputerScienceandMathematics,UniversityofPassau,Innstraße43,94032Passau,GermanyEmails:{...

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Real-World Chaos-Based Cryptography Using Synchronised Chua Chaotic Circuits Emiliia Nazarenko Nikolaos Athanasios Anagnostopoulos Stavros G. Stavrinides

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