Paper Abstract and Keywords |
Presentation |
2023-05-17 14:45
BDD enumeration for Module-LWE using lattice rotation structure Togo Sakurai, Atsushi Takayasu (The Univ. of Tokyo) ISEC2023-10 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Module-LWE is the analog of LWE that includes algebraic structures. In July 2022, two cryptographic schemes based on Module-LWE were selected as standard post-quantum cryptographic algorithms, making it an important problem that has been actively analyzed in recent years. Similar to LWE, one approach for solving Module-LWE is to reduce Module-LWE to BDD on lattice and solve it using enumeration algorithm. In this paper, we propose a more efficient method for enumeration algorithm by using lattice rotation structure specific to Module-LWE. For a certain parameter, it is estimated that our algorithm can speed up the existing enumeration algorithm by about 700 times. Furthermore, we show that our proposed method achieves a success rate of over 70% in 20 trials within about 500 second, while the existing method fails to succeed even once in 20 trials within almost same execution time for a parameter of Module-LWE. That is, our results reverse the conventional understanding that the enumeration method for Module-LWE is less efficient than the embedding method. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Module-LWE / vector rotation / BKZ / BDD / enumeration algorithm / / / |
Reference Info. |
IEICE Tech. Rep., vol. 123, no. 26, ISEC2023-10, pp. 54-61, May 2023. |
Paper # |
ISEC2023-10 |
Date of Issue |
2023-05-10 (ISEC) |
ISSN |
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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ISEC2023-10 |
Conference Information |
Committee |
ISEC |
Conference Date |
2023-05-17 - 2023-05-17 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kikai-Shinko-Kaikan Bldg. |
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(See Japanese page) |
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Paper Information |
Registration To |
ISEC |
Conference Code |
2023-05-ISEC |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
BDD enumeration for Module-LWE using lattice rotation structure |
Sub Title (in English) |
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Module-LWE |
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vector rotation |
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BKZ |
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BDD |
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enumeration algorithm |
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1st Author's Name |
Togo Sakurai |
1st Author's Affiliation |
The University of Tokyo (The Univ. of Tokyo) |
2nd Author's Name |
Atsushi Takayasu |
2nd Author's Affiliation |
The University of Tokyo (The Univ. of Tokyo) |
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Speaker |
Author-1 |
Date Time |
2023-05-17 14:45:00 |
Presentation Time |
25 minutes |
Registration for |
ISEC |
Paper # |
ISEC2023-10 |
Volume (vol) |
vol.123 |
Number (no) |
no.26 |
Page |
pp.54-61 |
#Pages |
8 |
Date of Issue |
2023-05-10 (ISEC) |
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