[Resource Topic] 2009/566: New Cryptosystems From CSP-Based Self-Distributive Systems

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Title:
New Cryptosystems From CSP-Based Self-Distributive Systems

Authors: Licheng Wang, Lihua Wang, Zhenfu Cao, Eiji Okamoto, Jun Shao

Abstract:

We propose new cryptosystems based on self-distributive systems that are defined by conjugator searching problems (CSP) in noncommutative groups. Under the newly developed cryptographic assumptions, our basic construction is proven IND-CPA secure in the standard model. Then, we describe two extensions: The first is proven IND-CCA secure in the random oracle model, while the second achieves the IND-CCA security in the standard model. Moreover, our proposal is instantiated with braid groups, and leads to a new braid-based encryption scheme and its security is directly rooted in the intractability assumption of CSP in braid groups.

ePrint: https://eprint.iacr.org/2009/566

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