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Paper Abstract and Keywords
Presentation 2020-07-20 13:50
Side Channel Attack on CRT-RSA Using Sliding Window with Exponent Blinding
Soki Osawa, Rei Ueno, Naofumi Homma (Tohoku Univ.) ISEC2020-20 SITE2020-17 BioX2020-23 HWS2020-13 ICSS2020-7 EMM2020-17
Abstract (in Japanese) (See Japanese page) 
(in English) This paper presents a side-channel attack on CRT-RSA. Some open-source cryptographic libraries (e.g.,
Libgcrypt) employ the sliding window exponentiation algorithm with exponent blinding to counter side-channel attacks.
The proposed attack first recovers some partial bits of blinded exponent (i.e., a secret key) of sliding window
exponentiation via side-channel leak, and then apply a new partial key exposure attack newly presented in this
paper. Our partial key exposure attack first estimates the upper bits of blinded exponent by a continued fraction
expansion, and then recovers the secret keys by Heninger-Shacham algorithm extended to blinded exponent. In
addition, in this paper, we also improve a cache-timing attack to accurately retrieve the bits of a blinded exponent.
We experimentally show that the proposed attack can successfully recover the secret keys of CRT-RSA with a 16-bit
exponent blinding from the side-channel leak acquired by the improved cache-timing attack
Keyword (in Japanese) (See Japanese page) 
(in English) CRT-RSA / Exponent blinding / Sliding window exponentiation / RSA partial key exposure attack / Cache attack / Side-channel attack / /  
Reference Info. IEICE Tech. Rep., vol. 120, no. 112, ISEC2020-20, pp. 39-45, July 2020.
Paper # ISEC2020-20 
Date of Issue 2020-07-13 (ISEC, SITE, BioX, HWS, ICSS, EMM) 
ISSN Online edition: ISSN 2432-6380
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Download PDF ISEC2020-20 SITE2020-17 BioX2020-23 HWS2020-13 ICSS2020-7 EMM2020-17

Conference Information
Committee SITE ISEC HWS EMM BioX IPSJ-CSEC IPSJ-SPT ICSS 
Conference Date 2020-07-20 - 2020-07-21 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Security, etc. 
Paper Information
Registration To ISEC 
Conference Code 2020-07-SITE-ISEC-HWS-EMM-BioX-CSEC-SPT-ICSS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Side Channel Attack on CRT-RSA Using Sliding Window with Exponent Blinding 
Sub Title (in English)  
Keyword(1) CRT-RSA  
Keyword(2) Exponent blinding  
Keyword(3) Sliding window exponentiation  
Keyword(4) RSA partial key exposure attack  
Keyword(5) Cache attack  
Keyword(6) Side-channel attack  
Keyword(7)  
Keyword(8)  
1st Author's Name Soki Osawa  
1st Author's Affiliation Tohoku University (Tohoku Univ.)
2nd Author's Name Rei Ueno  
2nd Author's Affiliation Tohoku University (Tohoku Univ.)
3rd Author's Name Naofumi Homma  
3rd Author's Affiliation Tohoku University (Tohoku Univ.)
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Speaker Author-1 
Date Time 2020-07-20 13:50:00 
Presentation Time 25 minutes 
Registration for ISEC 
Paper # ISEC2020-20, SITE2020-17, BioX2020-23, HWS2020-13, ICSS2020-7, EMM2020-17 
Volume (vol) vol.120 
Number (no) no.112(ISEC), no.113(SITE), no.114(BioX), no.115(HWS), no.116(ICSS), no.117(EMM) 
Page pp.39-45 
#Pages
Date of Issue 2020-07-13 (ISEC, SITE, BioX, HWS, ICSS, EMM) 


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