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DOI: 10.4230/LIPIcs.ICALP.2018.100

Ring Packing and Amortized FHEW Bootstrapping

Authors: Daniele Miccianco and Jessica Sorrell

Published in: LIPIcs, Volume 107, 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018)

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)

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@InProceedings{miccianco_et_al:LIPIcs.ICALP.2018.100,
  author =	{Miccianco, Daniele and Sorrell, Jessica},
  title =	{{Ring Packing and Amortized FHEW Bootstrapping}},
  booktitle =	{45th International Colloquium on Automata, Languages, and Programming (ICALP 2018)},
  pages =	{100:1--100:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-076-7},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{107},
  editor =	{Chatzigiannakis, Ioannis and Kaklamanis, Christos and Marx, D\'{a}niel and Sannella, Donald},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2018.100},
  URN =		{urn:nbn:de:0030-drops-91047},
  doi =		{10.4230/LIPIcs.ICALP.2018.100},
  annote =	{Keywords: homomorphic encryption, bootstrapping, lattice-based cryptography}
}

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Ring Packing and Amortized FHEW Bootstrapping

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