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2021 | OriginalPaper | Buchkapitel

Efficient Homomorphic Conversion Between (Ring) LWE Ciphertexts

verfasst von : Hao Chen, Wei Dai, Miran Kim, Yongsoo Song

Erschienen in: Applied Cryptography and Network Security

Verlag: Springer International Publishing

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Abstract

In the past few years, significant progress on homomorphic encryption (HE) has been made toward both theory and practice. The most promising HE schemes are based on the hardness of the Learning With Errors (LWE) problem or its ring variant (RLWE). In this work, we present new conversion algorithms that switch between different (R)LWE-based HE schemes to take advantage of them. Specifically, we present and combine three ideas to improve the key-switching procedure between LWE ciphertexts, transformation from LWE to RLWE, as well as packing of multiple LWE ciphertexts in a single RLWE encryption. Finally, we demonstrate an application of building a secure channel between a client and a cloud server with lightweight encryption, low communication cost, and capability of homomorphic computation.

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Vorheriges Kapitel Password Protected Secret Sharing from Lattices

Nur mit Berechtigung zugänglich

\(2^k~\Vert ~i\) if and only if \(2^k~|~i\) and \(2^{k+1}\not \mid i\).

The ciphertext modulus q is usually set to be a product of primes 1 modulo 2N so that we can utilize an efficient Number Theoretic Transformation (NTT) for polynomial arithmetic in \(R_q\).

Currently, our source repository is private to keep the anonymity, but we will make it public in the final version.

These performance benchmarks are taken from Table 10 in [21].

This method is called the prime decomposition which is widely used in the construction of RNS-friendly HE schemes such as [4, 29, 34, 42].

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Titel: Efficient Homomorphic Conversion Between (Ring) LWE Ciphertexts
verfasst von: Hao Chen
Wei Dai
Miran Kim
Yongsoo Song
Verlag: Springer International Publishing
Buch: Applied Cryptography and Network Security
Print ISBN: 978-3-030-78371-6

Electronic ISBN: 978-3-030-78372-3

Copyright-Jahr: 2021
DOI: https://doi.org/10.1007/978-3-030-78372-3_18

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