Paper Abstract and Keywords |
Presentation |
2015-03-02 14:05
On the Limit of Security Proof for Homomorphic Encryption Daiki Takahashi, Shingo Hasegawa, Shuji Isobe, Eisuke Koizumi, Hiroki Shizuya (Tohoku Univ.) IT2014-67 ISEC2014-80 WBS2014-59 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In this paper, we explore on the limitation of security proofs for homomorphic encryptions.
We consider the computational complexity for verifying the validity of the plaintext-ciphertext pairs, that is, on any given pair $(b,c)$, to determine whether or not $c$ is a ciphertext of the plaintext $b$.
We show that for any homomorphic encryption scheme, if the complexity of its verification problem is characterized by the classes in the low hierarchy within $mathbf{NP}$, then the scheme cannot be proven to be secure beyond the low hierarchy classes via reduction proofs.
We also discuss the case where the complexity of the verification problem is characterized by $SZK$, the class of languages that have statistical zero-knowledge proofs, and show that the limitation of the security proofs is characterized by some intermediate class between $SZK$ and $AMcapcoAM$. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
homomorphic encryption / security proof / low hierarchy / statistical zero-knowledge / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 114, no. 471, ISEC2014-80, pp. 33-38, March 2015. |
Paper # |
ISEC2014-80 |
Date of Issue |
2015-02-23 (IT, ISEC, WBS) |
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) |
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IT2014-67 ISEC2014-80 WBS2014-59 |
Conference Information |
Committee |
ISEC IT WBS |
Conference Date |
2015-03-02 - 2015-03-03 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
The University of Kitakyushu |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
joint meeting of IT, ISEC, and WBS |
Paper Information |
Registration To |
ISEC |
Conference Code |
2015-03-ISEC-IT-WBS |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
On the Limit of Security Proof for Homomorphic Encryption |
Sub Title (in English) |
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Keyword(1) |
homomorphic encryption |
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security proof |
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low hierarchy |
Keyword(4) |
statistical zero-knowledge |
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1st Author's Name |
Daiki Takahashi |
1st Author's Affiliation |
Tohoku University (Tohoku Univ.) |
2nd Author's Name |
Shingo Hasegawa |
2nd Author's Affiliation |
Tohoku University (Tohoku Univ.) |
3rd Author's Name |
Shuji Isobe |
3rd Author's Affiliation |
Tohoku University (Tohoku Univ.) |
4th Author's Name |
Eisuke Koizumi |
4th Author's Affiliation |
Tohoku University (Tohoku Univ.) |
5th Author's Name |
Hiroki Shizuya |
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Tohoku University (Tohoku Univ.) |
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Speaker |
Author-1 |
Date Time |
2015-03-02 14:05:00 |
Presentation Time |
25 minutes |
Registration for |
ISEC |
Paper # |
IT2014-67, ISEC2014-80, WBS2014-59 |
Volume (vol) |
vol.114 |
Number (no) |
no.470(IT), no.471(ISEC), no.472(WBS) |
Page |
pp.33-38 |
#Pages |
6 |
Date of Issue |
2015-02-23 (IT, ISEC, WBS) |
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