Faster Packed Homomorphic Operations and Efficient Circuit Bootstrapping for TFHE View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2017

AUTHORS

Ilaria Chillotti , Nicolas Gama , Mariya Georgieva , Malika Izabachène

ABSTRACT

In this paper, we present several methods to improve the evaluation of homomorphic functions in TFHE, both for fully and for leveled homomorphic encryption. We propose two methods to manipulate packed data, in order to decrease the ciphertext expansion and optimize the evaluation of look-up tables and arbitrary functions in \({\mathrm {RingGSW}}\) based homomorphic schemes. We also extend the automata logic, introduced in [12, 19], to the efficient leveled evaluation of weighted automata, and present a new homomorphic counter called \(\mathrm {TBSR}\), that supports all the elementary operations that occur in a multiplication. These improvements speed-up the evaluation of most arithmetic functions in a packed leveled mode, with a noise overhead that remains additive. We finally present a new circuit bootstrapping that converts \(\mathsf {LWE}\) into low-noise \({\mathrm {RingGSW}}\) ciphertexts in just 137 ms, which makes the leveled mode of TFHE composable, and which is fast enough to speed-up arithmetic functions, compared to the gate-by-gate bootstrapping given in [12]. Finally, we propose concrete parameter sets and timing comparison for all our constructions. More... »

PAGES

377-408

Book

TITLE

Advances in Cryptology – ASIACRYPT 2017

ISBN

978-3-319-70693-1
978-3-319-70694-8

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-319-70694-8_14

DOI

http://dx.doi.org/10.1007/978-3-319-70694-8_14

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1093076441


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