Paper 2019/717 Original: eprint.iacr.org/2019/717 ↗

Homomorphism learning problems and its applications to public-key cryptography

Christopher Leonardi
Luis Ruiz-Lopez
Abstract

We present a framework for the study of a learning problem over abstract groups, and introduce a new technique which allows for public-key encryption using generic groups. We proved, however, that in order to obtain a quantum resistant encryption scheme, commutative groups cannot be used to instantiate this protocol.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2019-06-18: last updated
2019-06-18: published
Short URL
https://ia.cr/2019/717
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2019/717,
      author = {Christopher Leonardi and Luis Ruiz-Lopez},
      title = {Homomorphism learning problems and its applications to public-key cryptography},
      howpublished = {Cryptology {ePrint} Archive, Paper 2019/717},
      year = {2019},
      url = {https://eprint.iacr.org/2019/717}
}
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