Tightly security code based two tier signature using chameleon hash functions

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This paper proposes a two-tier, non-interactive digital signature scheme using chameleon hash functions and the Kabatianskii-Krouk-Smeets scheme over large finite fields for enhanced quantum resistance and efficiency.

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Abstract

Abstract The advancement of quantum algorithms threatens traditional digital signatures, prompting the exploration of post-quantum solutions such as code-based signatures with chameleon hash functions. This study investigates the security effectiveness of chameleon hash-based signatures within the hash-and-sign framework, emphasizing their superior resistance to quantum-based attacks. These signatures provide not only non-repudiation and authentication but also possess non-transferable properties, ensuring their validity is confined to a designated verifier without requiring the private key from the public key holder. Furthermore, the non-interactive nature of the proposed scheme preserves efficiency comparable to that of classical schemes, making it a compelling option for quantum-resistant digital signatures. In this paper, we introduce an innovative Kabatianskii-Krouk-Smeets (KKS) scheme over the finite field $\mathbb{F}_{q^m}$, which represents a significant advancement in cryptographic security. A key component of this proposal is the utilization of Chameleon hash functions, which form the foundation of the KKS scheme and operate using both Hamming and rank metrics. These functions are instrumental in constructing digital signature schemes that deliver not only enhanced security but also improved performance, positioning this framework as a strong contender in post-quantum cryptography. To validate the proposed schemes, we carry out a thorough formal analysis of their security properties, confirming their robustness against key compromise and forgery attacks. Additionally, we perform an extensive performance evaluation to illustrate the schemes' efficiency and practical usability in real-world cryptographic applications. We introduce a two-tier signature scheme combining Chameleon hash functions with KKS schemes. This approach uses rank metrics and large finite fields, enhancing security while maintaining system efficiency through the additional protective layers provided by Chameleon hash functions. MSC: 94A60
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Tightly security code based two tier signature using chameleon hash functions | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Tightly security code based two tier signature using chameleon hash functions YONG, Eddie Shahril Ismail This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5062405/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract The advancement of quantum algorithms threatens traditional digital signatures, prompting the exploration of post-quantum solutions such as code-based signatures with chameleon hash functions. This study investigates the security effectiveness of chameleon hash-based signatures within the hash-and-sign framework, emphasizing their superior resistance to quantum-based attacks. These signatures provide not only non-repudiation and authentication but also possess non-transferable properties, ensuring their validity is confined to a designated verifier without requiring the private key from the public key holder. Furthermore, the non-interactive nature of the proposed scheme preserves efficiency comparable to that of classical schemes, making it a compelling option for quantum-resistant digital signatures. In this paper, we introduce an innovative Kabatianskii-Krouk-Smeets (KKS) scheme over the finite field $\mathbb{F}_{q^m}$, which represents a significant advancement in cryptographic security. A key component of this proposal is the utilization of Chameleon hash functions, which form the foundation of the KKS scheme and operate using both Hamming and rank metrics. These functions are instrumental in constructing digital signature schemes that deliver not only enhanced security but also improved performance, positioning this framework as a strong contender in post-quantum cryptography. To validate the proposed schemes, we carry out a thorough formal analysis of their security properties, confirming their robustness against key compromise and forgery attacks. Additionally, we perform an extensive performance evaluation to illustrate the schemes' efficiency and practical usability in real-world cryptographic applications. We introduce a two-tier signature scheme combining Chameleon hash functions with KKS schemes. This approach uses rank metrics and large finite fields, enhancing security while maintaining system efficiency through the additional protective layers provided by Chameleon hash functions. MSC: 94A60 Applied Mathematics code-based signatures chameleon hash functions two-tier signatures KKS scheme Full Text Additional Declarations The authors declare no competing interests. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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