Abstract

Signcryption schemes leveraging chaotic constructions have garnered significant research interest in recent years. These schemes have proffered practical solutions towards addressing the vast security vulnerabilities in Electronic Cash Systems (ECS). The schemes can seamlessly perform message confidentiality and authentication simultaneously. Still, their applications in emerging electronic cash platforms require a higher degree of complexity in design and robustness, especially as billions of online transactions are conducted globally. Consequently, several security issues arise from using open wireless channels for online business transactions. In order to guarantee the security of user information over these safety-limited channels, sophisticated security schemes are solely desired. However, the existing signcryption schemes cannot provide the required confidentiality and authentication for user information on these online platforms. Therefore, the need for certificateless group signcryption schemes (CGSS) becomes imperative. This paper presents an efficient electronic cash system based on CGSS using conformable chaotic maps (CCM). In our design, any group signcrypter would encrypt information/data with the group manager (GM) and send it to the verifier, who confirms the authenticity of the signcrypted information/data using the public criteria of the group. Additionally, the traceability, unforgeability, unlinkability, and robust security of the proposed CGSS-CCM ECS scheme have been built leveraging computationally difficult problems. Performance evaluation of the proposed CGSS-CCM ECS scheme shows that it is secure from the Indistinguishably Chosen Ciphertext Attack. Finally, the security analysis of the proposed technique shows high efficiency in security-vulnerable applications. Overall, the scheme gave superior security features compared to the existing methods in the preliminaries.

Highlights

  • In modern electronic commerce, digital signatures play a significant role due to integrity and authentication requirements

  • In order to address this problem, this paper presents an efficient electronic commerce system based on a certificateless group signcryption scheme (CGSS) using conformable chaotic maps (CCM)

  • This segment reviews the various underlying concepts relating to the work before delving into the current investigation on certificateless group signcryption schemes using conformable chaotic maps (CGSS-CCM)

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Summary

Introduction

Digital signatures play a significant role due to integrity and authentication requirements. A signcryption scheme should be designed to meet specific security attributes such as public verifiability, ciphertext authentication, public ciphertext authentication, and ciphertext anonymity [3,4,5,6,7]. Under favorable conditions, these should be designed with extremely hard assumptions. In order to address this problem, this paper presents an efficient electronic commerce system based on a certificateless group signcryption scheme (CGSS) using conformable chaotic maps (CCM)

Contributions
Paper Organization
Related Works
Background and Materials
Chebyshev
G The private private key TT
Chebyshevᶇ Chaotic
The Proposed Certificateless
After determining the public any signcrypter secret parameter
Chebyshev Chaotic Polynomials ƙ m
Verification ƙ
Security Investigation ofG the Proposed
Security Investigationfor ofLet the GM
Security
CGSS-CCM
Proposed Electronic Cash System Based on CGSS Using Conformable Chaotic a
Proposed
A of of thethe proposed electronic cash system
Withdrawal Phase
Chebyshev Chaotic Polynomials
Payment Phase m
Identity
Unforgeability
Anonymity
Assessments
Communication
In pand psystem pterms hresults hthe and Ϯsystem and
Conclusions
Communication in
Full Text
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