Paper 2018/532 Original: eprint.iacr.org/2018/532 ↗

Ring packing and amortized FHEW bootstrapping

Daniele Micciancio
Jessica Sorrell
Abstract

The FHEW fully homomorphic encryption scheme (Ducas and Micciancio, Eurocrypt 2015) offers very fast homomorphic NAND-gate computations (on encrypted data) and a relatively fast refreshing procedure that allows to homomorphically evaluate arbitrary NAND boolean circuits. Unfortunately, the refreshing procedure needs to be executed after every single NAND computation, and each refreshing operates on a single encrypted bit, greatly decreasing the overall throughput of the scheme. We give a new refreshing procedure that simultaneously refreshes $n$ FHEW ciphertexts, at a cost comparable to a single-bit FHEW refreshing operation. As a result, the cost of each refreshing is amortized over $n$ encrypted bits, improving the throughput for the homomorphic evaluation of boolean circuits roughly by a factor $n$.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2019-10-06: last updated
2018-06-04: published
Short URL
https://ia.cr/2018/532
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2018/532,
      author = {Daniele Micciancio and Jessica Sorrell},
      title = {Ring packing and amortized FHEW bootstrapping},
      howpublished = {Cryptology {ePrint} Archive, Paper 2018/532},
      year = {2018},
      url = {https://eprint.iacr.org/2018/532}
}
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