Text encryption by using one-dimensional chaos generators and nonlinear equations

Akgül, Akif; Kaçar, Sezgin; Arıcıoğlu, Burak; Pehlivan, İ̇hsan

doi:10.1109/eleco.2013.6713853

Cited by 27 publications

(15 citation statements)

References 5 publications

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“…Even though the system shown in equation 3is autonomous, some cannot ensure that the fast changing variable (t) and slow varying variables (x(t), y(t), z(t)) are fully decoupled and hence we adopt the methods of averaging as shown by [44,54] to simplify the equation (3). By methods of averaging let us take Using (4) in (3) and after some mathematical simplifications with equating sinusoidal and nonsinusoidal terms separately to zero, it can be solved as i is the current through the resistor 2 R and c i is the current through the capacitor.…”

Section: T Y T Y T a Y T A X T A X T Z T A Z T A X T Z T A Z T A W Tmentioning

confidence: 99%

“…By methods of averaging let us take Using (4) in (3) and after some mathematical simplifications with equating sinusoidal and nonsinusoidal terms separately to zero, it can be solved as i is the current through the resistor 2 R and c i is the current through the capacitor. Using the method of simplification adopted in [54], the non-autonomous dimensionless model of the system (1) is derived as 3is autonomous, some cannot ensure that the fast changing variable (t) and slow varying variables (x(t), y(t), z(t)) are fully decoupled and hence we adopt the methods of averaging as shown by [44,54] to simplify the equation (3). By methods of averaging let us take Using (4) in (3) and after some mathematical simplifications with equating sinusoidal and nonsinusoidal terms separately to zero, it can be solved as…”

Section: T Y T Y T a Y T A X T A X T Z T A Z T A X T Z T A Z T A W Tmentioning

confidence: 99%

“…Even though the system shown in equation 3is autonomous, some cannot ensure that the fast changing variable (t) and slow varying variables (x(t), y(t), z(t)) are fully decoupled and hence we adopt the methods of averaging as shown by [44,54] 3is autonomous, some cannot ensure that the fast changing variable (t) and slow varying variables (x(t), y(t), z(t)) are fully decoupled and hence we adopt the methods of averaging as shown by [44,54] to simplify the equation (3). By methods of averaging let us take Using (4) in (3) and after some mathematical simplifications with equating sinusoidal and nonsinusoidal terms separately to zero, it can be solved as…”

Section: T Y T Y T a Y T A X T A X T Z T A Z T A X T Z T A Z T A W Tmentioning

confidence: 99%

“…Many literatures have discussed about the implementation of integer order systems using FPGA's [3,9,15,35,37,42,51,53]. Even though there are many literatures on the integer order FPGA implementations, less have been investigated on fractional order FPGA implementations.…”

Section: Field Programmable Gate Array (Fpga) Implementation Of Fosrcmentioning

confidence: 99%

See 3 more Smart Citations

Fractional Order Simple Chaotic Oscillator with Saturable Reactors and Its Engineering Applications

Rajagopal

Jafari

Kaçar

et al. 2019

ITC

Self Cite

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Chaos is often observed in forced nonlinear electrical circuits with saturable reactors. Simplest of such a circuit is presented and investigated in both integer order and non-integer (fractional) order form. For numerical analysis of fractional order system, the Adam-Bashforth-Moulton method is used. Some dynamic properties of the novel system are investigated. For implementing the system in field programmable gate arrays (FPGA), the Adomian decomposition method is used. Power and resource utilization of the fractional order system for implementing in FPGA are presented. Also, in this work, a novel fractional based sound encryption application is implemented as a unique application.

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Section: T Y T Y T a Y T A X T A X T Z T A Z T A X T Z T A Z T A W Tmentioning

confidence: 99%

Section: T Y T Y T a Y T A X T A X T Z T A Z T A X T Z T A Z T A W Tmentioning

confidence: 99%

“…Even though the system shown in equation 3is autonomous, some cannot ensure that the fast changing variable (t) and slow varying variables (x(t), y(t), z(t)) are fully decoupled and hence we adopt the methods of averaging as shown by [44,54] 3is autonomous, some cannot ensure that the fast changing variable (t) and slow varying variables (x(t), y(t), z(t)) are fully decoupled and hence we adopt the methods of averaging as shown by [44,54] to simplify the equation (3). By methods of averaging let us take Using (4) in (3) and after some mathematical simplifications with equating sinusoidal and nonsinusoidal terms separately to zero, it can be solved as…”

Section: T Y T Y T a Y T A X T A X T Z T A Z T A X T Z T A Z T A W Tmentioning

confidence: 99%

Section: Field Programmable Gate Array (Fpga) Implementation Of Fosrcmentioning

confidence: 99%

See 2 more Smart Citations

Fractional Order Simple Chaotic Oscillator with Saturable Reactors and Its Engineering Applications

Rajagopal

Jafari

Kaçar

et al. 2019

ITC

Self Cite

View full text Add to dashboard Cite

show abstract

“…Although most of the encryption studies in the literature are about image encryption, there are also some studies on encryption of audio and text data . Most of these studies had insufficient security analyses or no security analyses at all.…”

Section: Introductionmentioning

confidence: 99%

Chaos‐based encryption of multimedia data and design of security analysis interface as an educational tool

Akgül

Kaçar

Pehlivan

et al. 2018

Comp Applic In Engineering

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Data encryption has always been a topical subject. There are many encryption methods in the literature. Chaos‐based encryption is considered a different area of study among the encryption practices. In this study, a novel interface was designed for chaos‐based encryption to be used as an educational tool in cryptology. With this interface, the chaos‐based encryption of multimedia data (picture, audio, text) can be done with one, two, or three dimensional discrete‐time chaotic maps. Also, the reliability of every encryption method must be checked via certain security analyses. Thus, five different security analyses (information entropy, correlation, speed effect, differential attack, and histogram analysis), where applicable, were added into the interface to perform security analyses of chaos‐based encrypted data. In this way, the chaotic encryption and security analyses, both of which need high level programming knowledge, have become available in a compact way, for those who are interested in this subject but are not knowledgeable enough about programming, hence the interface can be used as an educational tool in chaos or encryption studies.

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A lightweight efficient chaos‐based cryptosystem for constrained‐node networks

Senouci

Sadoudi

Djamaa

et al. 2019

Int J Communication

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Interconnected sensor and actuator objects creating Constrained-Node Networks (CNN) are among the most prominent technologies of the Internet of things. Deployed to monitor our lives, surroundings, and critical infrastructure, CNN communications must be strongly secured in order to prevent devastating unauthorized access to critical information. This, however, faces severe challenges imposed by CNN constraints in terms of energy, memory, and computational power. To address such conflicting requirements, this paper presents a chaos-based efficient lightweight secure communication system for CNNs. The proposed cryptosystem performs optimized confusion-diffusion operations at the byte level allowing it to be fully implemented on an 8-bit microcontroller.Obtained results from extensive experiments at both statistical and implementation levels confirm the robustness of the proposed cryptosystem against a multitude of attacks. Additionally, the evaluated encryption/decryption speeds along with the low memory and energy consumption grant the proposed cryptosystem attractive lightweight aspects enabling its deployment in very constrained CNN applications having soft real-time requirements. KEYWORDS Chaos theory, constrained-node networks, data confidentiality, internet of thingsInt J Commun Syst. 2020;33:e4215. wileyonlinelibrary.com/journal/dacTABLE 3 Secret keys used for key sensitivity analysis Key Secret keyKey 1 x 0 = −10.000; y 0 = −5.000; z 0 = −10; = 10; = 0.01; = 3; = 28 Key 2 x 0 = −10.001; y 0 = −5.000; z 0 = −10; = 10; = 0.01; = 3; = 28 Key 3 x 0 = −10.000; y 0 = −5.001; z 0 = −10; = 10; = 0.01; = 3; = 28 values of Pvalue T knowing that if Pvalue T ≥ 0.0001, then the sequences can be considered to be uniformly distributed. As can be seen from this table, the minimum pass rate for each statistical test, except that of the random excursion (variant) test, is approximately 0.972766 for a sample size equal to 300 binary sequences. Consequently, we conclude that the encryption keys generated by DLZ pass all of the NIST tests. Therefore, we can confirm that the used encryption keys have good statistical performances, i.e., good randomness keys.How to cite this article: Senouci MR, Sadoudi S, Djamaa B, Senouci MA. A lightweight efficient chaos-based cryptosystem for constrained-node networks. Int J Commun Syst. 2020;33:e4215. https://doi.

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Text encryption by using one-dimensional chaos generators and nonlinear equations

Cited by 27 publications

References 5 publications

Fractional Order Simple Chaotic Oscillator with Saturable Reactors and Its Engineering Applications

Fractional Order Simple Chaotic Oscillator with Saturable Reactors and Its Engineering Applications

Chaos‐based encryption of multimedia data and design of security analysis interface as an educational tool

A lightweight efficient chaos‐based cryptosystem for constrained‐node networks

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