Paper 2009/566

New Cryptosystems From CSP-Based Self-Distributive Systems

Licheng Wang, Lihua Wang, Zhenfu Cao, Eiji Okamoto, and 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.

Metadata
Available format(s)
PDF
Publication info
Published elsewhere. Unknown where it was published
Keywords
Self-distributive systemsconjugator searching problemsbraid groupscryptosystems
Contact author(s)
wanglc cn @ gmail com
History
2010-04-16: last of 4 revisions
2009-11-23: received
See all versions
Short URL
https://ia.cr/2009/566
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2009/566,
      author = {Licheng Wang and Lihua Wang and Zhenfu Cao and Eiji Okamoto and Jun Shao},
      title = {New Cryptosystems From {CSP}-Based Self-Distributive Systems},
      howpublished = {Cryptology {ePrint} Archive, Paper 2009/566},
      year = {2009},
      url = {https://eprint.iacr.org/2009/566}
}
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