arxiv_crypto 95% Match Research Paper Cryptographers,Security researchers,Blockchain developers,Academics in theoretical computer science 1 month ago

Linearly Homomorphic Ring Signature Scheme over Lattices

ai-safety › privacy

📄 Abstract

Abstract: Homomorphic ring signature schemes combine the strong anonymity of ring signatures with the computability of homomorphic signatures, demonstrating significant potential in scenarios requiring both anonymous data provenance and verifiable homomorphic computation (e.g., confidential blockchain transactions and secure multi-party computation). However, no feasible homomorphic ring signature scheme currently exists. In this work, we propose the first lattice-based linearly homomorphic ring signature scheme. Proven secure in the standard model under the small integer solution (SIS) assumption, our scheme achieves strong anonymity under full key exposure and unforgeability against insider corruption attacks. As the first unified framework for ring signatures and linear homomorphic signatures, this construction provides a post-quantum-secure solution for the aforementioned applications, advancing the development of privacy-enhanced homomorphic computation.

Key Contributions

This paper presents the first lattice-based linearly homomorphic ring signature scheme, offering a post-quantum secure solution that combines strong anonymity with verifiable homomorphic computation. It is proven secure in the standard model under the SIS assumption.

Business Value

Enables the development of more private and secure blockchain systems, confidential computing environments, and advanced cryptographic applications resistant to future quantum computing threats.

Paper Metadata

Innovation Type

New Construction

Deployment Feasibility

Low to Moderate, lattice-based cryptography is computationally intensive and less mature than current public-key systems. Requires significant cryptographic expertise for implementation.

Limitations Addressed

Addresses the lack of feasible homomorphic ring signature schemes, which are crucial for applications requiring both anonymous data provenance and verifiable computations, such as confidential blockchain transactions.

Performance Gains

Provides a unified framework for ring signatures and linear homomorphic signatures, offering post-quantum security.

Technical Tags

Homomorphic SignaturesRing SignaturesLattice-based CryptographyPost-quantum cryptographyStandard Model SecuritySmall Integer Solution (SIS) assumptionAnonymityUnforgeabilityConfidential TransactionsSecure Multi-Party Computation

Research Topics

CryptographyPrivacy-Enhancing TechnologiesPost-Quantum SecurityBlockchain TechnologySecure Computation

Methods & Architectures

Lattice-based cryptographyRing signature constructionHomomorphic signature constructionStandard model security proofsSIS assumption

Applications & Tasks

Cryptocurrency Blockchain Secure Multi-Party Computation Digital Signatures Cybersecurity SecurityPrivacyAnonymityVerifiabilityPost-quantum security Creating anonymous and verifiable signaturesEnabling homomorphic computations on signed dataSecuring blockchain transactions with privacyDeveloping post-quantum cryptographic schemes

Related Fields

CryptographyComputer SecurityNumber TheoryTheoretical Computer ScienceBlockchain Technology

Keywords

homomorphic signaturesring signatureslattice-based cryptographypost-quantum cryptographySIS assumptionstandard modelanonymityunforgeabilityblockchainsecure multi-party computationconfidential transactions

Academic Context

#Cryptography#Privacy-Enhancing Technologies#Post-Quantum Security#Blockchain Technology#Secure Computation

Commercial Potential

Potential Products

Privacy-enhancing blockchain protocolsSecure digital identity systemsConfidential computing platforms

Target Industries

TechnologyFinanceCybersecurityGovernment

Use Case Examples

Enabling anonymous yet verifiable transactions on a blockchainSecurely aggregating data from multiple parties without revealing individual contributionsDeveloping cryptographic primitives for future secure communication systems

Competitive Edge

Represents a significant advancement by providing the first feasible homomorphic ring signature scheme, particularly with post-quantum security.

Market Opportunity

Growing interest in post-quantum cryptography and privacy-preserving technologies.

Revenue Models

Licensing of cryptographic IPdevelopment of specialized secure hardware/software.

Resource Requirements

Compute Needs

High, lattice-based cryptography is generally computationally intensive.

Data Requirements

Requires cryptographic keys and parameters generated according to the scheme.

Deployment Constraints

Computational overhead, complexity of implementation, and the need for robust post-quantum cryptographic libraries.

Scalability

Scalability is a concern due to the computational cost associated with lattice-based schemes.

Regulatory Considerations

Cryptography export controlsStandards for post-quantum cryptography

Production Readiness

Maturity Level

Theoretical/Research

Time to Market

5-10 years for practical deployment due to maturity and performance challenges.

Patent Potential

Moderate to High, novel cryptographic constructions are often patentable.

View Full Paper Back to Papers