Paper Abstract and Keywords |
Presentation |
2019-11-01 14:00
Lattice basis reduction over projected lattices and its application to solving the LWE problem Satoshi Nakamura, Nariaki Tateiwa (Kyushu Univ.), Koha Kinjo (NTT), Yasuhiko Ikematsu, Masaya Yasuda (Kyushu Univ.) ISEC2019-68 SITE2019-62 LOIS2019-27 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
The security of modern lattice-based schemes is based on the computational hardness of solving the learning with errors (LWE) problem. On the other hand, lattice basis reduction algorithms such as LLL and BKZ are mandatory for solving the LWE problem. Recently, “DeepBKZ” reduction algorithm was proposed, in which DeepLLL, a straightforward generalization of LLL, is called as a subroutine in the BKZ framework. In this paper, we develop an algorithm of DeepBKZ over projected lattices. We also apply it to solving the LWE challenge problems, which have been in public since 2016, and we report its running time. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
LWE problems / lattice basis reduction / DeepBKZ / projected lattices / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 119, no. 257, ISEC2019-68, pp. 41-48, Nov. 2019. |
Paper # |
ISEC2019-68 |
Date of Issue |
2019-10-25 (ISEC, SITE, LOIS) |
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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ISEC2019-68 SITE2019-62 LOIS2019-27 |
Conference Information |
Committee |
ISEC SITE LOIS |
Conference Date |
2019-11-01 - 2019-11-02 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Osaka Univ. |
Topics (in Japanese) |
(See Japanese page) |
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Paper Information |
Registration To |
ISEC |
Conference Code |
2019-11-ISEC-SITE-LOIS |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Lattice basis reduction over projected lattices and its application to solving the LWE problem |
Sub Title (in English) |
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Keyword(1) |
LWE problems |
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lattice basis reduction |
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DeepBKZ |
Keyword(4) |
projected lattices |
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1st Author's Name |
Satoshi Nakamura |
1st Author's Affiliation |
Kyushu University (Kyushu Univ.) |
2nd Author's Name |
Nariaki Tateiwa |
2nd Author's Affiliation |
Kyushu University (Kyushu Univ.) |
3rd Author's Name |
Koha Kinjo |
3rd Author's Affiliation |
NTT Secure Platform Laboratories (NTT) |
4th Author's Name |
Yasuhiko Ikematsu |
4th Author's Affiliation |
Kyushu University (Kyushu Univ.) |
5th Author's Name |
Masaya Yasuda |
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Kyushu University (Kyushu Univ.) |
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Speaker |
Author-1 |
Date Time |
2019-11-01 14:00:00 |
Presentation Time |
25 minutes |
Registration for |
ISEC |
Paper # |
ISEC2019-68, SITE2019-62, LOIS2019-27 |
Volume (vol) |
vol.119 |
Number (no) |
no.257(ISEC), no.258(SITE), no.259(LOIS) |
Page |
pp.41-48 |
#Pages |
8 |
Date of Issue |
2019-10-25 (ISEC, SITE, LOIS) |
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