Traceable Signatures from Lattices

2025-10-28

AI Summary

Existing traceable signature schemes rely on number-theoretic or pairing-based assumptions, rendering them vulnerable to quantum attacks. Method: This paper constructs the first lattice-based traceable signature scheme, founded on the Short Integer Solution (SIS) problem. It provides rigorous security proofs in the Quantum Random Oracle Model (QROM) for correctness, anonymity, unforgeability, and traceability. To reconcile user anonymity with regulated identity tracing, the scheme integrates an efficient zero-knowledge proof protocol. Contribution/Results: This work presents the first provably secure lattice-based traceable signature construction. It advances traceable signatures from classical cryptographic paradigms to quantum-resistant foundations, thereby establishing both theoretical guarantees and practical building blocks for post-quantum anonymous authentication systems.

Technology Category

• Machine Learning: Quantum Machine Learning
• Data Mining & Knowledge Management: Representing, Reasoning, and Using Provenance, Trust
• Search and Optimization: Learning to Search

Application Category

• Security and Privacy: Data transparency and provenance
• Search and Retrieval-Augmented AI: Web learning to rank, online learning, and counterfactual learning for ranking
• Graph Algorithms and Modeling for the Web: Algorithms and analysis for heterogeneous, signed, attributed, multi-relational, temporal, higher-order, and annotated Web-related graphs

Abstract

Traceable signatures (Kiayas et al., EUROCRYPT 2004) is an anonymous digital signature system that extends the tracing power of the opening authority in group signatures. There are many known constructions of traceable signatures, but all are based on number-theoretic/pairing assumptions. For such reason, they may not be secure in the presence of quantum computers. This work revisits the notion of traceable signatures and presents a lattice-based construction provably secure in the quantum random oracle model (QROM).

Problem

• Constructing traceable signatures resistant to quantum attacks
• Developing lattice-based traceable signatures with provable security
• Extending group signature tracing capabilities using lattice assumptions

Innovation

• Lattice-based traceable signatures construction
• Quantum random oracle model security proof
• Post-quantum security for anonymous digital signatures