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  • IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
  • 1
    Language: English
    In: IEEE Transactions on Circuits and Systems-I: Fundamental Theory..., Jan, 2003, Vol.50(1), p.123(4)
    Description: Different possibilities of using chaotic maps as pseudorandom number generators are discussed. A class of chaos-based pseudorandom bit generators is constructed. We give simple arguments to explain the unpredictability of the generators. Index Terms--Chaos, pseudorandom numbers.
    Keywords: Chaos Theory ; Random Numbers ; Chaotic Systems
    ISSN: 1057-7122
    E-ISSN: 15581268
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  • 2
    Language: English
    In: IEEE Transactions on Circuits and Systems-I: Fundamental Theory..., Jan, 2003, Vol.50(1), p.121(3)
    Description: We establish that the algorithm proposed recently by Jakimoski and Kocarev is secure against differential and linear attacks. Index Terms--Block-encryption cipher, chaos-based cryptography, differential and linear probabilities.
    Keywords: Cryptography -- Research
    ISSN: 1057-7122
    E-ISSN: 15581268
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  • 3
    In: IEEE Transactions on Circuits and Systems-I: Fundamental Theory..., Feb, 2001, Vol.48(2), p.163
    Description: This paper is devoted to the analysis of the impact of chaos-based techniques on block encryption ciphers. We present several chaos based ciphers. Using the well-known principles in the cryptanalysis we show that these ciphers do not behave worse than the standard ones, opening in this way a novel approach to the design of block encryption ciphers. Index Terms--Block encryption ciphers, chaos, cryptography, S-boxes.
    Keywords: Data Encryption -- Research ; Cryptography -- Research
    ISSN: 1057-7122
    E-ISSN: 15581268
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  • 4
    In: IEEE Transactions on Circuits and Systems-I: Fundamental Theory..., March, 2001, Vol.48(3), p.281
    Description: This paper and its companion (Part II) are devoted to the analysis of the application of a chaotic piecewise-linear one-dimensional(PL1D) map as random number generator (RNG). Piecewise linearity of the map enables us to mathematically find parameter values for which a generating partition is Markov and the RNG behaves as a Markov information source, and then to mathematically analyze the information generation process and the RNG. In the companion paper we discuss practical aspects of our chaos-based RNGs. Index Terms--Chaos, random number generator, symbolic dynamics.
    Keywords: Random Number Generators (Software) -- Models ; Chaotic Systems -- Usage ; Markov Processes -- Analysis
    ISSN: 1057-7122
    E-ISSN: 15580806
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  • 5
    In: IEEE Transactions on Circuits and Systems-I: Fundamental Theory..., March, 2001, Vol.48(3), p.382
    Description: This paper and its companion (Part I) are devoted to to the analysis of the application of a chaotic piecewise-linear one-dimensional (PL1D) map as Random Number Generator (RNG). In Part I, we have mathematically analyzed the information generation process of a class of PL1D maps. In this paper, we find optimum parameters that give an RNG with lowest redundancy and maximum margin against parasitic attractors. Further, the map is implemented in a 0.8 [micro]]m standard CMOS process utilizing switched current techniques. Post-layout circuit simulations of the RNG indicate no periodic attractors over variations in temperature, power supply and process conditions, and maximum redundancy of 0.4%. We estimate that the output bit rate of our RNG is 1 Mbit/s, which is substantially higher than the output bit rate of RNGs available on the market. Index Terms--Chaos, CMOS, random number generator.
    Keywords: Random Number Generators (Software) -- Models ; Complementary Metal Oxide Semiconductors -- Usage ; Chaotic Systems -- Usage
    ISSN: 1057-7122
    E-ISSN: 15581268
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  • 6
    In: IEEE Transactions on Circuits and Systems-I: Fundamental Theory..., June, 1997, Vol.44(6), p.562(4)
    Description: The concept of time-discontinuous coupling of two identical chaotic systems called sporadic coupling is addressed. The conditions for the occurrence of synchronization between two sporadically coupled chaotic systems are given. Amplitude quantization of the driving signal in addition to the sporadic coupling allows digital exchange of digital information signals between the sporadically coupled chaotic systems. Index Terms - Chaos, chaos synchronization, digital coding.
    Keywords: Chaotic Systems -- Research ; Systems Analysis -- Research ; Digital Electronics -- Research ; Electronic Circuits -- Research
    ISSN: 1057-7122
    E-ISSN: 15581268
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  • 7
    In: IEEE Transactions on Circuits and Systems-I: Fundamental Theory..., Oct, 1995, Vol.42(10), p.779(6)
    Description: This work deals with Turing instability in two diffusely coupled systems. We show that for the certain type of vector fields, diffusive coupling can cause instability of otherwise stable fixed points, and produce chaos. Accompanying numerical examples are obtained using Chua's equation. We discuss possible application of this concept of instability in modeling of biological cell assemblies, as well as some generalizations that would be interesting to attempt.〈〈ETX〉〉
    Keywords: Nonlinear Theories -- Research ; Diffusion Processes -- Research ; Spatial Systems -- Research
    ISSN: 1057-7122
    E-ISSN: 15581268
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  • 8
    Language: English
    In: IEEE Transactions on Circuits and Systems-I-Regular Papers, July, 2005, Vol.52(7), p.1382(12)
    Description: Chebyshev polynomials have been recently proposed for designing public-key systems. Indeed, they enjoy some nice chaotic properties, which seem to be suitable for use in Cryptography. Moreover, they satisfy a semi-group property, which makes possible implementing a trapdoor mechanism. In this paper, we study a public-key cryptosystem based on such polynomials, which provides both encryption and digital signature. The cryptosystem works on real numbers and is quite efficient. Unfortunately, from our analysis, it comes up that it is not secure. We describe an attack which permits to recover the corresponding plaintext from a given ciphertext. The same attack can be applied to produce forgeries if the cryptosystem is used for signing messages. Then, we point out that also other primitives, a Diffie-Hellman like key agreement scheme and an authentication scheme, designed along the same fines of the cryptosystem, are not secure due to the aforementioned attack. We close the paper by discussing the issues and the possibilities of constructing public-key cryptosystems on real numbers. Index Terms--Chaos theory, Chebyshev polynomials, Jacobian elliptic Chebyshev rational map, public-key cryptography.
    Keywords: Public Key Encryption -- Research ; Chaos Theory -- Research
    ISSN: 1549-8328
    E-ISSN: 15580806
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  • 9
    In: IEEE Transactions on Circuits and Systems-I: Fundamental Theory..., Oct, 1997, Vol.44(10), p.1014(5)
    Description: We give the relationship between symbolic dynamics and chaos synchronization. If the capacity of the channel which one- directionally connects two chaotic systems with the aim of synchronizing them is larger than Kolmogorov-Sinai entropy of the driving system, then the synchronization error can be made arbitrarily small. Index Terms - Chaos, channel capacity, symbolic dynamics, synchronization.
    Keywords: Chaotic Systems -- Analysis
    ISSN: 1057-7122
    E-ISSN: 15581268
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