Paper Abstract and Keywords |
Presentation |
2018-07-25 15:50
Extended Partial Key Exposure Attacks on RSA Kaichi Suzuki, Atsushi Takayasu, Noboru Kunihiro (Univ. of Tokyo) ISEC2018-29 SITE2018-21 HWS2018-26 ICSS2018-32 EMM2018-28 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Thus far, emph{partial key exposure attacks} on RSA, i.e., attackers are given the most significant bits (MSBs) emph{or} the least significant bits (LSBs) of $d$, have been actively studied.
The best known attacks are Ernst et al.'s attack~(Eurocrypt'05) and Takayasu-Kunihiro's attack~(SAC'14), where the latter attack is better than the former for $d<N^{(9-sqrt{21})/12}$.
In the same work, Ernst et al. extended their proposed attack to another attack scenario when attackers are given the MSBs emph{and} the LSBs of $d$.
The attack is the best known one in the scenario.
In this paper, we proposed an improved partial key exposure attack with the MSBs emph{and} the LSBs of $d$.
In particular, our attack is better than Ernst al.'s attack for $d<N^{(9-sqrt{21})/12}$.
We obtain the attack by extending Takayasu-Kunihiro's attacks.
Since complex variable transformations which depend on positions of known bits are core technique of Takayasu-Kunihiro's attack, we develop a general variable transformation which covers previous ones and obtain our attack. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
RSA / partial key exposure / Coppersmith's method / lattice / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 118, no. 151, ISEC2018-29, pp. 155-162, July 2018. |
Paper # |
ISEC2018-29 |
Date of Issue |
2018-07-18 (ISEC, SITE, HWS, ICSS, EMM) |
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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ISEC2018-29 SITE2018-21 HWS2018-26 ICSS2018-32 EMM2018-28 |
Conference Information |
Committee |
HWS ISEC SITE ICSS EMM IPSJ-CSEC IPSJ-SPT |
Conference Date |
2018-07-25 - 2018-07-26 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Sapporo Convention Center |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Security, etc. |
Paper Information |
Registration To |
ISEC |
Conference Code |
2018-07-HWS-ISEC-SITE-ICSS-EMM-CSEC-SPT |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Extended Partial Key Exposure Attacks on RSA |
Sub Title (in English) |
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Keyword(1) |
RSA |
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partial key exposure |
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Coppersmith's method |
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lattice |
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1st Author's Name |
Kaichi Suzuki |
1st Author's Affiliation |
University of Tokyo (Univ. of Tokyo) |
2nd Author's Name |
Atsushi Takayasu |
2nd Author's Affiliation |
University of Tokyo (Univ. of Tokyo) |
3rd Author's Name |
Noboru Kunihiro |
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University of Tokyo (Univ. of Tokyo) |
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Speaker |
Author-1 |
Date Time |
2018-07-25 15:50:00 |
Presentation Time |
25 minutes |
Registration for |
ISEC |
Paper # |
ISEC2018-29, SITE2018-21, HWS2018-26, ICSS2018-32, EMM2018-28 |
Volume (vol) |
vol.118 |
Number (no) |
no.151(ISEC), no.152(SITE), no.153(HWS), no.154(ICSS), no.155(EMM) |
Page |
pp.155-162 |
#Pages |
8 |
Date of Issue |
2018-07-18 (ISEC, SITE, HWS, ICSS, EMM) |
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