Paper Abstract and Keywords |
Presentation |
2017-05-12 16:30
[Invited Talk]
Partitioning via Non-linear Polynomial Functions: More Compact IBEs from Ideal Lattices and Bilinear Maps Shuichi Katsumata (Univ. of Tokyo), Shota Yamada (AIST) ISEC2017-11 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In this paper, we present new adaptively secure identity-based encryption (IBE) schemes. One of the distinguishing properties of the schemes is that it achieves shorter public parameters than previous schemes. Both of our schemes follow the general framework presented in the recent IBE scheme of Yamada (Eurocrypt 2016), employed with novel techniques tailored to meet the underlying algebraic structure to overcome the difficulties arising in our specific setting. Specifically, we obtain the following:
- Our first scheme is proven secure under the ring learning with errors (RLWE) assumption and achieves the best asymptotic space efficiency among existing schemes from the same assumption.
The main technical contribution is in our new security proof that exploits the ring structure in a crucial way. Our technique allows us to greatly weaken the underlying hardness assumption (e.g., we assume the hardness of RLWE with a fixed polynomial approximation factor whereas Yamada's scheme requires a super-polynomial approximation factor) while improving the overall efficiency.
- Our second IBE scheme is constructed on bilinear maps and is secure under the $3$-computational bilinear Diffie-Hellman exponent assumption. This is the first IBE scheme based on the hardness of a computational/search problem, rather than a decisional problem such as DDH and DLIN on bilinear maps with sub-linear public parameter size. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
identity-based encryption / LWE / ideal lattice / bilinear map / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 117, no. 25, ISEC2017-11, pp. 61-61, May 2017. |
Paper # |
ISEC2017-11 |
Date of Issue |
2017-05-05 (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) |
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ISEC2017-11 |
Conference Information |
Committee |
ISEC |
Conference Date |
2017-05-12 - 2017-05-12 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kikai-Shinko-Kaikan Bldg. |
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Paper Information |
Registration To |
ISEC |
Conference Code |
2017-05-ISEC |
Language |
English (Japanese title is available) |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Partitioning via Non-linear Polynomial Functions: More Compact IBEs from Ideal Lattices and Bilinear Maps |
Sub Title (in English) |
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identity-based encryption |
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LWE |
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ideal lattice |
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bilinear map |
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1st Author's Name |
Shuichi Katsumata |
1st Author's Affiliation |
The University of Tokyo (Univ. of Tokyo) |
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Shota Yamada |
2nd Author's Affiliation |
National Institute of Advanced Industrial Science and Technology (AIST) |
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Speaker |
Author-1 |
Date Time |
2017-05-12 16:30:00 |
Presentation Time |
30 minutes |
Registration for |
ISEC |
Paper # |
ISEC2017-11 |
Volume (vol) |
vol.117 |
Number (no) |
no.25 |
Page |
p.61 |
#Pages |
1 |
Date of Issue |
2017-05-05 (ISEC) |
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