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Paper Abstract and Keywords
Presentation 2021-03-04 11:20
An Attack on Search Ring-LWE Problem for Even Relative Degree
Yasuhisa Okumura, Shinya Okumura, Atsuko Miyaji (Osaka Univ) IT2020-122 ISEC2020-52 WBS2020-41
Abstract (in Japanese) (See Japanese page) 
(in English) The Ring-LWE problem is used to construct homomorphic encryption and has attracted much attention because of its quantum security.
Chen et al. proposed a search attack by converting the Ring-LWE problem on the ring of integers of an algebraic number field into a problem on a small finite field, which reduces the search range.
They also improved the attack in the case where the relative degree of the modulus prime in the algebraic field is 2.
Okumura et al. extend Chen et al.'s improvement to the case where the relative degree is even, and propose a efficient decision attack using trace map and appropriate sample selection.
In this paper, we propose an extension of the decision attack proposed by Okumura et al. to a search attack.
We also propose a more efficient search attack using coefficients under different conditions.
Furthermore, we attack the extension of the cyclotomic field, which is vulnerable to these attacks.
Keyword (in Japanese) (See Japanese page) 
(in English) Ring-LWE / attack / / / / / /  
Reference Info. IEICE Tech. Rep., vol. 120, no. 411, ISEC2020-52, pp. 66-72, March 2021.
Paper # ISEC2020-52 
Date of Issue 2021-02-25 (IT, ISEC, WBS) 
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)
Download PDF IT2020-122 ISEC2020-52 WBS2020-41

Conference Information
Committee WBS IT ISEC  
Conference Date 2021-03-04 - 2021-03-05 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Joint Meeting of WBS, IT, and ISEC 
Paper Information
Registration To ISEC 
Conference Code 2021-03-WBS-IT-ISEC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) An Attack on Search Ring-LWE Problem for Even Relative Degree 
Sub Title (in English)  
Keyword(1) Ring-LWE  
Keyword(2) attack  
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1st Author's Name Yasuhisa Okumura  
1st Author's Affiliation Osaka University (Osaka Univ)
2nd Author's Name Shinya Okumura  
2nd Author's Affiliation Osaka University (Osaka Univ)
3rd Author's Name Atsuko Miyaji  
3rd Author's Affiliation Osaka University (Osaka Univ)
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Speaker Author-1 
Date Time 2021-03-04 11:20:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # IT2020-122, ISEC2020-52, WBS2020-41 
Volume (vol) vol.120 
Number (no) no.410(IT), no.411(ISEC), no.412(WBS) 
Page pp.66-72 
#Pages 7 
Date of Issue 2021-02-25 (IT, ISEC, WBS) 

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