Paper 2023/1402

Fully Homomorphic Encryption: A Mathematical Introduction

Sara Logsdon, University of Georgia
Abstract

This paper offers a mathematical introduction to fully homomorphic encryption, a concept that enables computation on encrypted data. We trace the historical development of FHE, describe Fully Homomorphic Encryption over the Torus (TFHE) and how it performs certain mathematical operations, and explore bootstrapping and the possibility for adjusting computational depth. This paper equips readers with a brief understanding of FHE's evolution and the essential mechanisms facilitating practical implementation.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
Keywords
Fully Homomorphic EncryptionTFHEBootstrappingComputational Depth
Contact author(s)
sara logsdon @ uga edu
History
2023-09-24: approved
2023-09-18: received
See all versions
Short URL
https://ia.cr/2023/1402
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2023/1402,
      author = {Sara Logsdon},
      title = {Fully Homomorphic Encryption: A Mathematical Introduction},
      howpublished = {Cryptology {ePrint} Archive, Paper 2023/1402},
      year = {2023},
      url = {https://eprint.iacr.org/2023/1402}
}
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