Chaos-Based Public-Key Cryptography

Mishkovski, Igor; Kocarev, Ljupčo

doi:10.1007/978-3-642-20542-2_2

Cited by 19 publications

(15 citation statements)

References 29 publications

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“…We apply BAN logic [ 52 ] and AVISPA tool [ 53 ] for formal security proof. We also present informal security proof, which proves that the proposed scheme can achieve some security requirements.…”

Section: Security Analysismentioning

confidence: 99%

A Smartcard-Based User-Controlled Single Sign-On for Privacy Preservation in 5G-IoT Telemedicine Systems

Lin

Hsu

et al. 2021

Sensors

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Healthcare is now an important part of daily life because of rising consciousness of health management. Medical professionals can know users’ health condition if they are able to access information immediately. Telemedicine systems, which provides long distance medical communication and services, is a multi-functional remote medical service that can help patients in bed in long-distance communication environments. As telemedicine systems work in public networks, privacy preservation issue of sensitive and private transmitted information is important. One of the means of proving a user’s identity are user-controlled single sign-on (UCSSO) authentication scheme, which can establish a secure communication channel using authenticated session keys between the users and servers of telemedicine systems, without threats of eavesdropping, impersonation, etc., and allow patients access to multiple telemedicine services with a pair of identity and password. In this paper, we proposed a smartcard-based user-controlled single sign-on (SC-UCSSO) for telemedicine systems that not only remains above merits but achieves privacy preservation and enhances security and performance compared to previous schemes that were proved with BAN logic and automated validation of internet security protocols and applications (AVISPA).

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Section: Security Analysismentioning

confidence: 99%

A Smartcard-Based User-Controlled Single Sign-On for Privacy Preservation in 5G-IoT Telemedicine Systems

Lin

Hsu

et al. 2021

Sensors

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“…where T 0 (x) = 1 and T 1 (x) = x. Polynomials (1) have many interesting properties that make them extremely useful. For instance, one can include the fact that these polynomials (considered as a dynamic system) are a chaotic map with the Lyapunov exponent equal to ln n [31]. In addition, for polynomials (1), among others, the following property occurs [5]:…”

Section: Preliminaries and Related Workmentioning

confidence: 99%

“…This uses chaotic projections such as logistic maps [25,26] or piecewise linear maps [26,27] to generate a sequence of values that are similar to random ones on one hand and obtained in a deterministic way on the other. As part of chaotic cryptography, we can distinguish symmetric algorithms [4] and asymmetric algorithms [31].…”

Section: Introductionmentioning

confidence: 99%

The application of modified Chebyshev polynomials in asymmetric cryptography

Lawnik

Kapczyński

2019

csci

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Based on Chebyshev polynomials, one can create an asymmetric cryptosystem that allows for secure communication. Such a cryptosystem is based on the fact that these polynomials form a semi-group due to the composition operation. This article presents two new cryptosystems based on modifications of Chebyshev's polynomials. The presented analysis shows that their security is the same as in the case of algorithms associated with the problem of discrete logarithms. The article also shows methods that allow for the faster calculation of Chebyshev polynomials.

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“…Another efficient key agreement protocol is extended chaotic map-based approaches [ 8 , 10 ]. These kind of schemes apply Chebyshev polynomials to provide the property, which is equivalent to the semigroup property of chaotic map [ 10 , 11 , 12 , 13 , 14 ]. The details are shown in Section 2 Preliminaries.…”

Section: Introductionmentioning

confidence: 99%

A Round-Efficient Authenticated Key Agreement Scheme Based on Extended Chaotic Maps for Group Cloud Meeting

Lin

Tsung

Lee

et al. 2017

Sensors

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The security is a critical issue for business purposes. For example, the cloud meeting must consider strong security to maintain the communication privacy. Considering the scenario with cloud meeting, we apply extended chaotic map to present passwordless group authentication key agreement, termed as Passwordless Group Authentication Key Agreement (PL-GAKA). PL-GAKA improves the computation efficiency for the simple group password-based authenticated key agreement (SGPAKE) proposed by Lee et al. in terms of computing the session key. Since the extended chaotic map has equivalent security level to the Diffie–Hellman key exchange scheme applied by SGPAKE, the security of PL-GAKA is not sacrificed when improving the computation efficiency. Moreover, PL-GAKA is a passwordless scheme, so the password maintenance is not necessary. Short-term authentication is considered, hence the communication security is stronger than other protocols by dynamically generating session key in each cloud meeting. In our analysis, we first prove that each meeting member can get the correct information during the meeting. We analyze common security issues for the proposed PL-GAKA in terms of session key security, mutual authentication, perfect forward security, and data integrity. Moreover, we also demonstrate that communicating in PL-GAKA is secure when suffering replay attacks, impersonation attacks, privileged insider attacks, and stolen-verifier attacks. Eventually, an overall comparison is given to show the performance between PL-GAKA, SGPAKE and related solutions.

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Chaos-Based Public-Key Cryptography

Cited by 19 publications

References 29 publications

A Smartcard-Based User-Controlled Single Sign-On for Privacy Preservation in 5G-IoT Telemedicine Systems

A Smartcard-Based User-Controlled Single Sign-On for Privacy Preservation in 5G-IoT Telemedicine Systems

The application of modified Chebyshev polynomials in asymmetric cryptography

A Round-Efficient Authenticated Key Agreement Scheme Based on Extended Chaotic Maps for Group Cloud Meeting

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