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Ring Packing and Amortized FHEW Bootstrapping

Authors Daniele Miccianco, Jessica Sorrell

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  • Security and privacy → Cryptography
Keywords
  • homomorphic encryption
  • bootstrapping
  • lattice-based cryptography

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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.

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Daniele Miccianco and Jessica Sorrell. Ring Packing and Amortized FHEW Bootstrapping. In 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 107, pp. 100:1-100:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018) https://doi.org/10.4230/LIPIcs.ICALP.2018.100

Author Details

Daniele Miccianco
  • Department of Computer Science and Engineering, University of California - San Diego, CA, USA
Jessica Sorrell
  • Department of Computer Science and Engineering, University of California - San Diego, CA, USA

Funding

Research supported in part by the Defense Advanced Research Project Agency (DARPA) and the U.S. Army Research Office under the SafeWare program, and the National Science Foundation (NSF) under grant CNS-1528068. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect reflect the views, position or policy of the Government.

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