Paper 2021/1626

A Successful Subfield Lattice Attack on a Fully Homomorphic Encryption Scheme

Martha Norberg Hovd

Abstract

We present the application of a known subfield lattice attack on a fully homomorphic encryption scheme based on NTRU. We show that the scheme is vulnerable to the attack due to a particular parameter having to satisfy a derived lower bound. We also show that, due to the structure of the scheme, the attack is successful in all practical instantiations of the scheme.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Published elsewhere. MINOR revision.Norwegian Information Security Conference
Keywords
Fully homomorphic encryptionlatticesNTRU
Contact author(s)
martha @ simula no
History
2021-12-17: received
Short URL
https://ia.cr/2021/1626
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2021/1626,
      author = {Martha Norberg Hovd},
      title = {A Successful Subfield Lattice Attack on a Fully Homomorphic Encryption Scheme},
      howpublished = {Cryptology ePrint Archive, Paper 2021/1626},
      year = {2021},
      note = {\url{https://eprint.iacr.org/2021/1626}},
      url = {https://eprint.iacr.org/2021/1626}
}
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