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An Algebraic Characterization of Security of Cryptographic Protocols

2008/02/22 by Manas K. Patra, Manas K Patra, Yan Zhang +2
Computer Science · #Advanced Authentication Protocols Security #Cryptography and Data Security #Cryptography and Security (cs.CR) #FOS: Computer and information sciences #User Authentication and Security Systems #cs.CR

paper · pdf · doi:10.48550/arxiv.0802.3328

arxiv created 2008/02/22 · openalex publication_date 2008/02/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Several of the basic cryptographic constructs have associated algebraic structures. Formal models proposed by Dolev and Yao to study the (unconditional) security of public key protocols form a group. The security of some types of protocols can be neatly formulated in this algebraic setting. We investigate classes of two-party protocols. We then consider extension of the formal algebraic framework to private-key protocols. We also discuss concrete realization of the formal models. In this case, we propose a definition in terms of pseudo-free groups.

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