| Paper Abstract and Keywords |
| Presentation |
2012-09-21 13:50
[Invited Talk]
Public Key Compression and Modulus Switching for Fully Homomorphic Encryption over the Integers Jean-Sebastien Coron (Univ. of Luxembourg), David Naccache (ENS), Mehdi Tibouchi (NTT) ISEC2012-50 |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
We describe a compression technique that reduces the public key size of van Dijk, Gentry, Halevi and Vaikuntanathan's (DGHV) fully homomorphic scheme over the integers from O(lambda^7) to O(lambda^5). Our variant remains semantically secure, but in the random oracle model. We obtain an implementation of the full scheme
with a 10 MB public key instead of 800 MB previously.
Additionally we show how to extend the quadratic encryption technique of Coron et al. (CRYPTO 2011) to higher degrees, to obtain a shorter public-key for the basic scheme, and we describe a new modulus switching technique for the DGHV scheme that enables to use the new FHE-without-bootstrapping framework of Brakerski et al.
Finally we describe an improved attack against the Approximate GCD Problem on which the DGHV scheme is based, with complexity O(2^rho) instead of O(2^{3rho/2}). |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
Fully homomorphic encryption / DGHV scheme / Public key compression / Modulus switching / Approximate common divisor problem / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 112, no. 211, ISEC2012-50, pp. 37-37, Sept. 2012. |
| Paper # |
ISEC2012-50 |
| Date of Issue |
2012-09-14 (ISEC) |
| ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
| Download PDF |
ISEC2012-50 |
| Conference Information |
| Committee |
ISEC |
| Conference Date |
2012-09-21 - 2012-09-21 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Kikai-Shinko-Kaikan Bldg. |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
|
| Paper Information |
| Registration To |
ISEC |
| Conference Code |
2012-09-ISEC |
| Language |
English (Japanese title is available) |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Public Key Compression and Modulus Switching for Fully Homomorphic Encryption over the Integers |
| Sub Title (in English) |
|
| Keyword(1) |
Fully homomorphic encryption |
| Keyword(2) |
DGHV scheme |
| Keyword(3) |
Public key compression |
| Keyword(4) |
Modulus switching |
| Keyword(5) |
Approximate common divisor problem |
| Keyword(6) |
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| Keyword(7) |
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| Keyword(8) |
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| 1st Author's Name |
Jean-Sebastien Coron |
| 1st Author's Affiliation |
University of Luxembourg (Univ. of Luxembourg) |
| 2nd Author's Name |
David Naccache |
| 2nd Author's Affiliation |
Ecole normale superieure (ENS) |
| 3rd Author's Name |
Mehdi Tibouchi |
| 3rd Author's Affiliation |
NTT Secure Platform Laboratories (NTT) |
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| Speaker |
Author-3 |
| Date Time |
2012-09-21 13:50:00 |
| Presentation Time |
30 minutes |
| Registration for |
ISEC |
| Paper # |
ISEC2012-50 |
| Volume (vol) |
vol.112 |
| Number (no) |
no.211 |
| Page |
p.37 |
| #Pages |
1 |
| Date of Issue |
2012-09-14 (ISEC) |