Paper 2009/566 Original: eprint.iacr.org/2009/566 ↗

New Cryptosystems From CSP-Based Self-Distributive Systems

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.

Metadata
Available format(s)
PDF
Publication info
Preprint.
History
2010-04-16: last updated
2009-11-23: published
Short URL
https://ia.cr/2009/566
License
https://creativecommons.org/licenses/by/4.0/

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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