[Resource Topic] 2023/872: Conjunctive Searchable Symmetric Encryption from Hard Lattices

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Title:
Conjunctive Searchable Symmetric Encryption from Hard Lattices

Authors: Debadrita Talapatra, Sikhar Patranabis, Debdeep Mukhopadhyay

Abstract:

Searchable Symmetric Encryption (SSE) supports efficient keyword searches over encrypted outsourced document collections while minimizing information leakage. All practically efficient SSE schemes supporting conjunctive queries rely crucially on quantum-broken cryptographic assumptions (such as discrete-log hard groups) to achieve compact storage and fast query processing. On the other hand, quantum-safe SSE schemes based on purely symmetric-key crypto-primitives either do not support conjunctive searches, or are practically inefficient. In particular, there exists no quantum-safe yet practically efficient conjunctive SSE scheme from lattice-based hardness assumptions.
We solve this open question by proposing Oblivious Post-Quantum Secure Cross Tags (OQXT) – the first lattice-based practically efficient and highly scalable conjunctive SSE scheme. The technical centerpiece of OQXT is a novel oblivious cross-tag generation protocol with provable security guarantees derived from lattice-based hardness assumptions. We prove the post-quantum simulation security of OQXT with respect to a rigorously defined and thoroughly analyzed leakage profile. We then present a prototype implementation of OQXT and experimentally validate its practical efficiency and scalability over extremely large real-world databases. Our experiments show that OQXT has competitive end-to-end search latency when compared with the best (quantum-broken) conjunctive SSE schemes.

ePrint: https://eprint.iacr.org/2023/872

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