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9 results on '"Ina Taralova"'

1. Design of a Fractional Pseudo-Chaotic Random Number Generator

Author

Chunxiao Yang, Ina Taralova, Jean Jacques Loiseau, Safwan El-Assad, École Centrale de Nantes (ECN), Laboratoire des Sciences du Numérique de Nantes (LS2N), IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS), Institut d'Électronique et des Technologies du numéRique (IETR), Université de Nantes (UN)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Commande (Commande), PSI (PSI), Université de Nantes (UN)-Centre National de la Recherche Scientifique (CNRS)-CentraleSupélec-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES), Ecole Polytechnique de l'Université de Nantes (EPUN), Université de Nantes (UN), Nantes Université (NU)-Université de Rennes 1 (UR1), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique (IMT Atlantique), Commande (LS2N - équipe Commande), PSI (LS2N - équipe PSI), Université de Nantes (UN)-Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), and Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)

Subjects
0209 industrial biotechnology, Discretization, 020208 electrical & electronic engineering, Chaotic, 02 engineering and technology, Lyapunov exponent, Grid, Nonlinear Sciences::Chaotic Dynamics, symbols.namesake, [INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR], 020901 industrial engineering & automation, 0202 electrical engineering, electronic engineering, information engineering, Piecewise, symbols, Applied mathematics, Cryptosystem, [INFO]Computer Science [cs], [NLIN]Nonlinear Sciences [physics], Stream cipher, Mathematics, Generator (mathematics)
Abstract

International audience; In this paper, we design a pseudo-chaotic random number generator using fractional chaotic systems. A non-uniform grid calculation method is proposed and employed to numerically solve the fractional systems by introducing a skew-tent map to vary the step size of the grid. Greater chaoticity in terms of Lyapunov exponent has been achieved by applying the proposed approach to the solution calculation of the fractional chaotic Chen's and Lu's systems. By adopting the piecewise constant argument method, one 1D fractional generalized double-humped logistic system (FGDHL) is discretized. A fractional pseudo-chaotic random number generator (FPCRNG) has been proposed by performing XOR (exclusive-or) operations to the states of the fractional Chen's system, fractional Lu's system, and the FGDHL systems. The security analysis of the generator and the statistical experiment of a stream cipher implementing the proposed FPCRNG prove that the proposed structure is efficient and can be used in the cryptosystem design.

Published
2020
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2. A Reliable Encryption Oriented Pseudo-chaotic Number Generator Using a Key Space Expandable Strategy

Author

Ina Taralova, Safwan El Assad, and Zongchao Qiao

Subjects
021110 strategic, defence & security studies, Computer science, business.industry, Key space, Reliability (computer networking), 0211 other engineering and technologies, Chaotic, 020206 networking & telecommunications, Cryptography, Double-precision floating-point format, 02 engineering and technology, Encryption, Data type, Computer engineering, 0202 electrical engineering, electronic engineering, information engineering, Cryptosystem, business, Computer Science::Cryptography and Security
Abstract

Pseudo-chaotic number generators (PCNGs), designed based on multiple chaotic maps, have a significant influence on the security of chaos-based cryptosystems. Since the majority of the chaotic maps are based on real numbers, most of the proposed PCNGs use floating-point notations. However, this data type, especially the double precision notation, has disadvantages of high computation cost and inefficient resource utilization. Also, due to the high sensitivity of the chaotic systems and the finite precision nature of software and hardware platforms, the truncation or round-off errors may cause a big difference in the generated pseudo-chaotic numbers, which may undermine the PCNG's security reliability. To overcome these drawbacks, a new secure PCNG scheme based on the reformulated skew tent maps over a 32-bit integer field is proposed in this paper. It not only reduces the resource utilization from the hardware perspective, but also ensures the PCNG's performance over various operation platforms. Furthermore, the proposed PCNG uses a parameter changeable strategy, which expands the key space of the cryptosystem that adopts the PCNG, and thus increases the immunity against the brute-force attack. The security and statistical test results have demonstrated that the proposed PCNG has reliable security properties with good randomness and it is suitable for cryptographic applications.

Published
2020
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3. A Stream Cipher Based on Fractional Pseudo Chaotic Random Number Generator

Author

Jean Jacques Loiseau, Chunxiao Yang, Safwan El-Assad, Ina Taralova, École Centrale de Nantes (ECN), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Ecole Polytechnique de l'Université de Nantes (EPUN), Université de Nantes (UN), Institut d'Électronique et des Technologies du numéRique (IETR), Nantes Université (NU)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), Université de Nantes (UN)-Centre National de la Recherche Scientifique (CNRS)-CentraleSupélec-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique (IMT Atlantique), Université de Nantes (UN)-Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), and Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)

Subjects
Coupling, 021110 strategic, defence & security studies, Computer science, 0211 other engineering and technologies, Chaotic, Structure (category theory), 020206 networking & telecommunications, 02 engineering and technology, Lyapunov exponent, 16. Peace & justice, Grid, Nonlinear Sciences::Chaotic Dynamics, symbols.namesake, [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], 0202 electrical engineering, electronic engineering, information engineering, symbols, Applied mathematics, Cryptosystem, Focus (optics), Stream cipher, ComputingMilieux_MISCELLANEOUS
Abstract

In this paper, we focus on the design of fractional pseudo-chaotic random number generator (FPCRNG) based on the coupling of fractional chaotic systems. The proposed FPCRNG is composed of 3 fractional chaotic systems, including one fractional generalized double-humped logistic system, two 3D fractional systems Chen's system and Lu's system, and one classical skew-tent map. A non-uniform grid calculation method is employed by introducing the skew-tent map into the numerical calculation of the states of the Chen's system and Lu's system to obtain greater chaoticity in terms of Lyapunov exponent. The XOR (exclusive-or) operations are applied to the fractional systems to obtain the final pseudo-chaotic outputs. The security analysis and statistical experiment of a stream cipher implementing the FPCRNG prove that the proposed structure is effective and can be used in the cryptosystem.

Published
2020
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4. Design of secure cryptosystem based on chaotic components and AES S-Box

Author

Ina Taralova, Safwan El Assad, Zongchao Qiao, École Centrale de Nantes (ECN), Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Ecole Polytechnique de l'Université de Nantes (EPUN), Université de Nantes (UN), Institut d'Électronique et des Technologies du numéRique (IETR), Université de Nantes (UN)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), Nantes Université (NU)-Université de Rennes 1 (UR1), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique (IMT Atlantique), Université de Nantes (UN)-Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), and China Scholarship Council

Subjects
Block cipher mode of operation, Pseudorandom number generator, S-box, Computer science, Chaotic, 020206 networking & telecommunications, 02 engineering and technology, 03 medical and health sciences, 0302 clinical medicine, Finite field, [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing, [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], 0202 electrical engineering, electronic engineering, information engineering, Key (cryptography), Cryptosystem, Electrical and Electronic Engineering, Algorithm, 030217 neurology & neurosurgery, ComputingMilieux_MISCELLANEOUS, Computer Science::Cryptography and Security, Block cipher
Abstract

In this paper, we design, realize and evaluate a new secure cryptosystem based on a Pseudo-Chaotic Number Generator(PCNG), a global diffusion and a block cipher in Cipher Block Chaining(CBC) mode. The proposed PCNG, defined over a finite field, is based on a discrete Chebyshev map coupled with a Pseudo-Random Number Generator(PRNG) and a discrete skew tent map. Our PCNG can remove a hidden danger of deteriorated security caused by the dynamical degradation encountered in numerical implementation of chaotic maps defined on real numbers. The global diffusion uses a Horizontal Addition Diffusion(HAD) and a Vertical Addition Diffusion(VAD) followed by a modified 2-D cat map. The block cipher in CBC mode is based on a confusion layer using the AES S-Box, followed by a diffusion layer built on the modified 2-D cat map and a key addition operation. The global diffusion enhances the diffusion process of the block cipher. Conducted security analysis and the obtained results have proven that the proposed cryptosystem design is robust with high security and that it can be applied to practical implementations.

Published
2020
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5. A robust pseudo-chaotic number generator for cryptosystem based on chaotic maps and multiplexing mechanism

Author

Ina Taralova, Safwan El Assad, Zongchao Qiao, Laboratoire des Sciences du Numérique de Nantes (LS2N), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Commande (LS2N - équipe Commande), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Institut d'Électronique et des Technologies du numéRique (IETR), Université de Nantes (UN)-Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Commande (Commande), Nantes Université (NU)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), Université de Nantes (UN)-Centre National de la Recherche Scientifique (CNRS)-CentraleSupélec-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Université de Rennes 1 (UR1), and Université de Rennes (UNIV-RENNES)

Subjects
[SPI.OTHER]Engineering Sciences [physics]/Other, 021110 strategic, defence & security studies, Security analysis, Number generator, Computer science, 0211 other engineering and technologies, Chaotic, 020206 networking & telecommunications, 02 engineering and technology, discrete chaotic maps, Topology, Multiplexing, pseudo-chaotic number generator, [SPI]Engineering Sciences [physics], Finite field, 0202 electrical engineering, electronic engineering, information engineering, multiplexing mechanism, Cryptosystem, finite field, Mechanism (sociology), ComputingMilieux_MISCELLANEOUS, security analysis
Abstract

International audience

Published
2019

6. Key requirements for the design of robust chaotic PRNG

Author

Ina Taralova, Oleg Garasym, and René Lozi

Subjects
Pseudorandom number generator, 021110 strategic, defence & security studies, Computer science, Random number generation, business.industry, Distributed computing, 0211 other engineering and technologies, Chaotic, 020206 networking & telecommunications, Cryptography, 02 engineering and technology, Lyapunov exponent, Encryption, symbols.namesake, Computer engineering, Robustness (computer science), 0202 electrical engineering, electronic engineering, information engineering, symbols, NIST, business, Computer Science::Cryptography and Security
Abstract

The increasing number of e-transactions requires more secure and innovative schemes for secure information storage and transmission. Since the encryption should be unique for each transaction, there is a big necessity of new generators of very huge numbers of encryption keys, and chaotic random number generators seem to be perfectly suitable for this application. In this paper a new robust, gigaperiodic and simple in implementation chaotic generator is proposed. The generator construction is based on the principle of ring-coupling. The proposed chaotic generator successfully passed statistical and analytical tests: NIST, largest Lyapunov exponent, autocorrelation, cross-correlation, uniform distribution. For the best precision of uniform distribution, approximate density function has been applied, the distribution errors are analyzed by written software. The resulting chaotic system promises the designed robust implementation to cryptosystems.

Published
2016
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7. High-speed encryption method based on switched chaotic model with changeable parameters

Author

Oleg Garasym, Ina Taralova, Institut de Recherche en Communications et en Cybernétique de Nantes (IRCCyN), Mines Nantes (Mines Nantes)-École Centrale de Nantes (ECN)-Ecole Polytechnique de l'Université de Nantes (EPUN), and Université de Nantes (UN)-Université de Nantes (UN)-PRES Université Nantes Angers Le Mans (UNAM)-Centre National de la Recherche Scientifique (CNRS)

Subjects
chaotic generator, Theoretical computer science, Computer science, Chaotic, Cryptography, 02 engineering and technology, Lyapunov exponent, security, Encryption, dynamical system, symbols.namesake, NIST, Control theory, Robustness (computer science), [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, 0202 electrical engineering, electronic engineering, information engineering, encryption, business.industry, Cumulative distribution function, Synchronization of chaos, 020208 electrical & electronic engineering, 020207 software engineering, switched chaotic model, Nonlinear Sciences::Chaotic Dynamics, ComputerSystemsOrganization_MISCELLANEOUS, symbols, business
Abstract

International audience; In this paper an improved chaotic switching algorithm based on modified Lozi system is applied. Generally speaking, the main advantage of the switched encrypted model is its robustness to the noise, while the main drawback is the slow processing speed. In this article we propose to gain model productivity by adjusting parameter in Lozi chaotic generator. Chaos generator is sensitive to any structure, therefore the solution shouldn't influence the pseudo randomness which is required for encryption. We provide the results of switched chaotic model based on Lozi chaotic generator with changeable parameter studied for chaoticity and pseudo-randomness with NIST, largest Lyapunov exponent, auto-correlation, cross-correlation and cumulative distribution.

Published
2013

8. Robust PRNG based on homogeneously distributed chaotic dynamics

Author

René Lozi, Ina Taralova, Oleg Garasym, Institut de Recherche en Communications et en Cybernétique de Nantes (IRCCyN), Mines Nantes (Mines Nantes)-École Centrale de Nantes (ECN)-Ecole Polytechnique de l'Université de Nantes (EPUN), Université de Nantes (UN)-Université de Nantes (UN)-PRES Université Nantes Angers Le Mans (UNAM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Jean Alexandre Dieudonné (JAD), Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), and COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
chaotic dynamics, 0209 industrial biotechnology, History, Dynamical systems theory, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], Chaotic, 02 engineering and technology, Network topology, Topology, Education, Combinatorics, [INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR], 020901 industrial engineering & automation, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, topologies of chaotic maps, 0202 electrical engineering, electronic engineering, information engineering, Mathematics, Pseudorandom number generator, Coupling, dynamical systems, Phase plane, Base (topology), 020202 computer hardware & architecture, Computer Science Applications, Nonlinear system, PRNG
Abstract

International audience; This paper is devoted to the design of new chaotic Pseudo Random Number Generator (CPRNG). Exploring several topologies of network of 1-D coupled chaotic mapping, we focus first on two dimensional networks. Two topologically coupled maps are studied: T T L (RC) non-alternate, and T T L (SC) alternate. The primary idea of the novel maps has been based on an original coupling of the tent and logistic maps to achieve excellent random properties and homogeneous /uniform/ density in the phase plane, thus guaranteeing maximum security when used for chaos base cryptography. In this aim two new nonlinear CPRNG: M T T L (SC 2) and N T T( L2) are proposed. The maps successfully passed numerous statistical, graphical and numerical tests, due to proposed ring coupling and injection mechanisms.

Published
2016
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9. Application of Observer-based Chaotic Synchronization and Identifiability to the Original CSK Model for Secure Information Transmission

Author

Oleg Garasym, Ina Taralova, René Lozi, Institut de Recherche en Communications et en Cybernétique de Nantes (IRCCyN), Mines Nantes (Mines Nantes)-École Centrale de Nantes (ECN)-Ecole Polytechnique de l'Université de Nantes (EPUN), Université de Nantes (UN)-Université de Nantes (UN)-PRES Université Nantes Angers Le Mans (UNAM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Jean Alexandre Dieudonné (JAD), Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (... - 2019) (UNS), and COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)

Subjects
Computer science, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], Chaotic, security, 02 engineering and technology, Encryption, 01 natural sciences, 010305 fluids & plasmas, [INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR], [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, Session key, Observability, Randomness tests, encryption, Simulation, Pseudorandom number generator, generator, Noise (signal processing), business.industry, 020208 electrical & electronic engineering, generators shifting, switched chaotic model, Identifiability, business, Algorithm
Abstract

International audience; The modified Lozi system is analyzed as chaotic PRNG and synchronized via observers. The objective of the study is to investigate chaotic-based encryption method that preserves CSK model advantages, but improves the security level. The CSK model have been discussed to message encryption because it implies better resistance against noise, but there are many evidences of the model weaknesses. The investigation provides the original CSK model analyses of secure message transmission over the communication channel by examining identifiability and observability; switched regimes detection; sensitivity to initial conditions and session key; NIST tests of the encrypted signal; correlation between wrong decrypted messages; system ergodicity. The proposed model has a significant effect on the security level of the transmitted signal that successfully passed chaotic and randomness tests. The results suggest that the original CSK model can be used for information security applications.

Published
2015
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