Applied Cryptography Using Chaos Function for Fast Digital Logic-Based Systems in Ubiquitous Computing

Shukla, Piyush Kumar; Khare, Ankur; Rizvi, M. A.; Stalin, Shalini; Kumar, Sanjay

doi:10.3390/e17031387

Cited by 46 publications

(20 citation statements)

References 37 publications

(30 reference statements)

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“…It is a flag to break and break secure communication. ( Shukla ,Khare, Rizvi, Stalin& Kumar 2015,pp. 1387-1410).…”

Section: Definitionmentioning

confidence: 99%

Applications of Algebraic Geometry in Cryptography

Kasm¹,

Hamad²

2019

MAS

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One of the most important applications of algebraic geometry, known as linguistics, has been used in linguistics, military and diplomatic. It was said that the first to mobilize a comment between the army is the Pharaohs. He also mentioned that the Arabs have old attempts at encryption. The Chinese used many methods in conveying messages during war. Their intention was to get the wrong signals. This research is a general study on science (word) searching for several methods in English linguistics, a word of thanks and a message.

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“…It is a flag to break and break secure communication. ( Shukla ,Khare, Rizvi, Stalin& Kumar 2015,pp. 1387-1410).…”

Section: Definitionmentioning

confidence: 99%

Applications of Algebraic Geometry in Cryptography

Kasm¹,

Hamad²

2019

MAS

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“…Simulation results analyzed the efficiency and resistance against difference and linear cryptanalysis attacks and showed the high performance of the algorithm [5,29]. Fast encryption provides reliability and high security slightly, but at the same time highly reduces the running time [21,30,31]. Table 1 summarizes all the author's works on chaotic based encryption scheme on the basis of some characteristics.…”

Section: Featuresmentioning

confidence: 99%

An Intelligent and Fast Chaotic Encryption Using Digital Logic Circuits for Ad-Hoc and Ubiquitous Computing

Khare

Shukla

Rizvi

et al. 2016

Entropy

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Abstract:Delays added by the encryption process represent an overhead for smart computing devices in ad-hoc and ubiquitous computing intelligent systems. Digital Logic Circuits are faster than other computing techniques, so these can be used for fast encryption to minimize processing delays. Chaotic Encryption is more attack-resilient than other encryption techniques. One of the most attractive properties of cryptography is known as an avalanche effect, in which two different keys produce distinct cipher text for the same information. Important properties of chaotic systems are sensitivity to initial conditions and nonlinearity, which makes two similar keys that generate different cipher text a source of confusion. In this paper a novel fast and secure Chaotic Map-based encryption technique using 2's Compliment (CET-2C) has been proposed, which uses a logistic map which implies that a negligible difference in parameters of the map generates different cipher text. Cryptanalysis of the proposed algorithm shows the strength and security of algorithm and keys. Performance of the proposed algorithm has been analyzed in terms of running time, throughput and power consumption. It is to be shown in comparison graphs that the proposed algorithm gave better results compare to different algorithms like AES and some others.

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“…It has been shown that a jerk equation, which is equivalent to a system of three first-order, ordinary, non-linear differential equations, is in a certain sense the minimal setting for solutions showing chaotic behavior. Therefore, chaos [1][2][3][4] has many applications in physics. With the exponential increase in information technology devices, the need for reliable authentication solutions has also been increased [5,6].…”

Section: Introductionmentioning

confidence: 99%

A Novel Method to Identify Initial Values of Chaotic Maps in Cybersecurity

Anees

Hussain

2019

Symmetry

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Chaos theory has applications in several disciplines and is focusing on the behavior of dynamical systems that are highly sensitive to initial conditions. Chaotic dynamics are the impromptu behavior displayed by some nonlinear dynamical frameworks and have been used as a source of diffusion in cybersecurity for more than two decades. With the addition of chaos, the overall strength of communication security systems can be increased, as seen in recent proposals. However, there is a major drawback of using chaos in communication security systems. Chaotic communication security systems rely on private keys, which are the initial values and parameters of chaotic systems. This paper shows that these chaotic communication security systems can be broken by identifying those initial values through the statistical analysis of standard deviation and variance. The proposed analyses are done on the chaotic sequences of Lorenz chaotic system and Logistic chaotic map and show that the initial values and parameters, which serve as security keys, can be retrieved and broken in short computer times. Furthermore, the proposed model of identifying the initial values can also be applied on other chaotic maps as well.The identification procedure adopted is based on the nonlinear systems synchronization theory. Formally, chaos theory was introduced by a meteorologist, Edward N. Lorenz [25], who examined the weather system and found it to be a chaotic system. He also coined the term "The Butterfly Effect", for chaos theory, in analogy to the term being sensitively dependant on the initial conditions. The sensitive dependence of weather on the initial conditions in physical interpretation means that a small puff of wind can cause a storm after few months. In other words, a hurricane's formation is contingent on whether a distant butterfly had flapped its wings several weeks before. This effect is the main reason of application of chaotic theory in biometrics security, along with the other applications in the fields of natural sciences, engineering, stock exchange and so on [26,27]. In [28], an experimental robust synchronization of hyperchaotic circuits is proposed. Based on the concept of the master stability function, the two circuits are coupled through a unique scalar signal. Experimental results obtained from two hyperchaotic circuits are presented to show that synchronization occurs widely in the range of electronic component tolerances.Chaotic cryptosystems [29][30][31][32] were first proposed in the early 1990s and gained popularity instantly. It has been seen by numerous specialists [33] that there exists a nearby relationship in the middle of chaos and cryptography; numerous properties of chaotic frameworks have their relatives in conventional cryptosystems. Chaotic systems have a few convincing gimmicks ideal to secure correspondences, such as sensitivity to initial condition, ergodicity, control parameters and irregular-like conduct, which can be associated with some traditional cryptographic properties of great ciphers, for...

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Applied Cryptography Using Chaos Function for Fast Digital Logic-Based Systems in Ubiquitous Computing

Cited by 46 publications

References 37 publications

Applications of Algebraic Geometry in Cryptography

Applications of Algebraic Geometry in Cryptography

An Intelligent and Fast Chaotic Encryption Using Digital Logic Circuits for Ad-Hoc and Ubiquitous Computing

A Novel Method to Identify Initial Values of Chaotic Maps in Cybersecurity

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