Paper 2003/131

Homomorphic public-key systems based on subgroup membership problems

Kristian Gjøsteen

Abstract

We describe the group structure underlying several popular homomorphic public-key systems and the problems they are based on. We prove several well-known security results using only the group structure and assumptions about the related problems. Then we provide examples of two new instances of this group structure and analyse their security.

Note: Minor corrections.

Metadata
Available format(s)
PDF PS
Category
Public-key cryptography
Publication info
Published elsewhere. A modified version appears at MyCrypt'05.
Keywords
homomorphic encryptionsubgroup membership problem
Contact author(s)
kristian gjosteen @ math ntnu no
History
2005-10-03: last of 2 revisions
2003-07-07: received
See all versions
Short URL
https://ia.cr/2003/131
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2003/131,
      author = {Kristian Gjøsteen},
      title = {Homomorphic public-key systems based on subgroup membership problems},
      howpublished = {Cryptology ePrint Archive, Paper 2003/131},
      year = {2003},
      note = {\url{https://eprint.iacr.org/2003/131}},
      url = {https://eprint.iacr.org/2003/131}
}
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