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Paper Abstract and Keywords
Presentation 2022-03-10 14:15
Reconsideration of Attacks on the Search Ring-LWE Problem by Trace Map on Finite Field
Tomoka Takahashi, Shinya Okumura, Atsuko Miyaji (Osaka Univ.) IT2021-105 ISEC2021-70 WBS2021-73 RCC2021-80
Abstract (in Japanese) (See Japanese page) 
(in English) Lattice-based cryptography has attracted a great deal of attention due to the standardization of Post-Quantum Cryptography by NIST. The Ring-Learning with Error (Ring-LWE) problem is one of the mathematical problems in lattice-based cryptosystems.
Chen et al. proposed an attack method by transforming the Ring-LWE problem over $R_q$ to a finite field problem $F_{q^f}$ and then performing statistical tests on $F_{q^f}$. On the other hand, a method to reduce the number of tests by applying cosets, and to reduce the number of samples required for the attack by performing the tests on $F_q$, was proposed separately for the cases where the residue degree $f$ is even, arbitrary, or composite. In this paper, we propose a more efficient attack method by applying the Homomorphism Theorem to the mappings embedded in the test space. Experimental results show that the decoding time can be reduced by up to $94.6%$. Further reduction in decoding time is expected when the residue degree and modulus parameters are large. We compare the scope of the attacks and the samples used by each attack. We also discuss the residue degree to which our attacks are particularly effective.
Keyword (in Japanese) (See Japanese page) 
(in English) post-quantum cryptograph / Ring-LWE / search attack / Trace Map / finite field / / /  
Reference Info. IEICE Tech. Rep., vol. 121, no. 429, ISEC2021-70, pp. 130-137, March 2022.
Paper # ISEC2021-70 
Date of Issue 2022-03-03 (IT, ISEC, WBS, RCC) 
ISSN Online edition: ISSN 2432-6380
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 IT2021-105 ISEC2021-70 WBS2021-73 RCC2021-80

Conference Information
Committee IT ISEC RCC WBS  
Conference Date 2022-03-10 - 2022-03-11 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Joint Meeting of ISEC, IT, RCC, and WBS 
Paper Information
Registration To ISEC 
Conference Code 2022-03-IT-ISEC-RCC-WBS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Reconsideration of Attacks on the Search Ring-LWE Problem by Trace Map on Finite Field 
Sub Title (in English)  
Keyword(1) post-quantum cryptograph  
Keyword(2) Ring-LWE  
Keyword(3) search attack  
Keyword(4) Trace Map  
Keyword(5) finite field  
1st Author's Name Tomoka Takahashi  
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 2022-03-10 14:15:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # IT2021-105, ISEC2021-70, WBS2021-73, RCC2021-80 
Volume (vol) vol.121 
Number (no) no.428(IT), no.429(ISEC), no.430(WBS), no.431(RCC) 
Page pp.130-137 
Date of Issue 2022-03-03 (IT, ISEC, WBS, RCC) 

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