Faster Homomorphic Function Evaluation Using Non-integral Base Encoding View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2017-08-25

AUTHORS

Charlotte Bonte , Carl Bootland , Joppe W. Bos , Wouter Castryck , Ilia Iliashenko , Frederik Vercauteren

ABSTRACT

In this paper we present an encoding method for real numbers tailored for homomorphic function evaluation. The choice of the degree of the polynomial modulus used in all popular somewhat homomorphic encryption schemes is dominated by security considerations, while with the current encoding techniques the correctness requirement allows for much smaller values. We introduce a generic encoding method using expansions with respect to a non-integral base, which exploits this large degree at the benefit of reducing the growth of the coefficients when performing homomorphic operations. This allows one to choose a smaller plaintext coefficient modulus which results in a significant reduction of the running time. We illustrate our approach by applying this encoding in the setting of homomorphic electricity load forecasting for the smart grid which results in a speed-up by a factor 13 compared to previous work, where encoding was done using balanced ternary expansions. More... »

PAGES

579-600

Book

TITLE

Cryptographic Hardware and Embedded Systems – CHES 2017

ISBN

978-3-319-66786-7
978-3-319-66787-4

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-319-66787-4_28

DOI

http://dx.doi.org/10.1007/978-3-319-66787-4_28

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1091344121


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