Reducing the Dynamical Degradation by Bi-Coupling Digital Chaotic Maps

Liu, Lingfeng; Liu, Bocheng; Hu, Hanping; Miao, Suoxia

doi:10.1142/s0218127418500591

Cited by 45 publications

(28 citation statements)

References 25 publications

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“…The classical chaotic maps (logistic and henon) are faster because they have a lower number of computational operations. PRNGs based on the new chaotic maps outperform some of the existing chaos-based PRNGs [21], [38] but are slower than the PRNGs proposed in [15], [50], [51]. The lower efficiency is because the proposed generators were designed to produce only 8 bits per iteration, rather than multiple bytes.…”

Section: G Speed Analysismentioning

confidence: 95%

Digital Cosine Chaotic Map for Cryptographic Applications

et al. 2019

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Despite having many similar characteristics with cryptography, existing chaotic systems have many security issues that negatively affect the chaos-based cryptographic algorithms that utilize them. This paper proposes a new chaotification method that enhances the chaotic complexity of existing chaotic maps to surmount these issues. The proposed method uses a cosine function alongside a chaotic map in a cascade system. To depict its advantages, we apply it to enhance logistic and Henon maps before analyzing their chaotic properties. Results and comparisons indicate that the new chaotic maps have a wider chaotic range, elevated sensitivity, complex characteristics, high nonlinearity, and an extended cycle length as compared to the original (seed) maps as well as other chaotic maps. We then utilize the modified maps (and their corresponding seed maps) to design simple pseudorandom number generators to study their feasibility when used in cryptographic algorithms. We perform comparisons between the generators derived from both the original and seed maps. Results show that generators based on the new maps outperform their seed counterparts in nearly every aspect. This finding demonstrates the capability of the proposed method in improving the performance of chaos-based cryptographic algorithms.

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Section: G Speed Analysismentioning

confidence: 95%

Digital Cosine Chaotic Map for Cryptographic Applications

et al. 2019

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“…Through the given calculation method, the Lyapunov exponent of the traditional one-dimensional logistic map and the segmented logistic map can be obtained [20]. The calculation result is:…”

Section: Lyapunov Exponent Simulationmentioning

confidence: 99%

Application of Chaotic Encryption Algorithm Based on Variable Parameters in RFID Security

Liu

Yang

Chen

2020

Preprint

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In recent years, chaotic encryption has been well applied in the field of cryptography by virtue of its unique characteristics, and it has received more and more attention in the security of RFID data transmission. Using the same key for encryption and decryption operations is a lightweight encryption algorithm. However, there are various problems in the application process of chaotic encryption: (1) nonlinear dynamic characteristics degradation and short-cycle cycle problems will occur under the influence of computer limited accuracy; (2) numerical conversion operations are required during application, to a certain extent It will affect the randomness of the iterative sequence; (3) During the iterative process, the iterative sequence cannot be spread over the entire value interval, and the randomness is poor. This paper proposes an improved segmented Logistic mapping encryption algorithm, uses the m-sequence to perturb initial value and sets a fixed step to change the control parameter value to generate a chaotic key stream sequence, and applies it to the RFID system data transmission security mechanism to encrypt the data.Experimental simulation and performance analysis show that the iterated chaotic sequence has good random distribution characteristics, unpredictability and traversability. Compared with the previous improvement, the key space is increased to reach the size of 1024 space and can meet the security needs, which improve RFID data security and can effectively avoid various security problems.

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“…Zhang [ 31 ] proposed using piecewise linear chaotic mapping and cubic S-box coupling. Liu [ 32 ] proposed that the state variables of one digital chaotic map can be used to control the parameters of another digital chaotic map. In general, the coupling method has a good effect on the improvement of system performance.…”

Section: Introductionmentioning

confidence: 99%

Hybrid Control of Digital Baker Map with Application to Pseudo-Random Number Generator

Shi

Deng

2021

Entropy

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Dynamical degradation occurs when chaotic systems are implemented on digital devices, which seriously threatens the security of chaos-based cryptosystems. The existing solutions mainly focus on the compensation of dynamical properties rather than on the elimination of the inherent biases of chaotic systems. In this paper, a unidirectional hybrid control method is proposed to improve the dynamical properties and to eliminate the biases of digital chaotic maps. A continuous chaotic system is introduced to provide external feedback control of the given digital chaotic map. Three different control modes are investigated, and the influence of control parameter on the properties of the controlled system is discussed. The experimental results show that the proposed method can not only improve the dynamical degradation of the digital chaotic map but also make the controlled digital system produce outputs with desirable performances. Finally, a pseudorandom number generator (PRNG) is proposed. Statistical analysis shows that the PRNG has good randomness and almost ideal entropy values.

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Reducing the Dynamical Degradation by Bi-Coupling Digital Chaotic Maps

Cited by 45 publications

References 25 publications

Digital Cosine Chaotic Map for Cryptographic Applications

Digital Cosine Chaotic Map for Cryptographic Applications

Application of Chaotic Encryption Algorithm Based on Variable Parameters in RFID Security

Hybrid Control of Digital Baker Map with Application to Pseudo-Random Number Generator

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