A CP-ABE Scheme Based on Lattice LWE and Its Security Analysis

Author:

Yao Yunfei1,Chen Huiyan2,Shen Linzhi3,Wang Ke2,Wang Qingnan2ORCID

Affiliation:

1. School of Cyberspace Security, Beijing University of Posts and Telecommunications, Beijing 100876, China

2. Department of Cryptography Science and Technology, Beijing Electronics Science and Technology Institute, Beijing 102627, China

3. School of Sciences, Civil Aviation University of China, Tianjin 300300, China

Abstract

In recent years, the research on ciphertext-policy attribute-based encryption (CP-ABE) scheme design based on learning with errors (LWE) has been a challenging problem, and many researchers have made a lot of attempts at it. At EUROCRYPT 2021, Datta, Komargodski, and Waters proposed the first provably secure direct CP-ABE construction that supports NC1 circuit access structures. Improving on their work, we propose a CP-ABE scheme. Technically, we use the new lattice two-stage sampling technique of Lai, Liu, and Wang (EUROCRYPT 2021) in the key generation phase instead of the extended trapdoor sampling technique. In this way, we obtain a CP-ABE scheme, which is at least as secure as the original scheme under the same conditions, and has a shorter ciphertext; we provide an innovative design idea for designing CP-ABE schemes only based on LWE, although this is only a partial theoretical work.

Funder

First-class Discipline Construction Project of Beijing Electronic Science and Technology Institute

National Natural Science Foundation of China

Publisher

MDPI AG

Subject

Fluid Flow and Transfer Processes,Computer Science Applications,Process Chemistry and Technology,General Engineering,Instrumentation,General Materials Science

Reference25 articles.

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4. Functional encryption for inner product predicates from learning with errors;Lee;Proceedings of the ASIACRYPT 2011. LNCS, Seoul, South Korea, 4–8 December 2011,2011

5. Attribute based encryption (and more) for nondeterministic finite automata from LWE;Boldyreva;Proceedings of the CRYPTO 2019. LNCS, Santa Barbara, CA, USA, 18–22 August 2019,2019

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