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Paper Abstract and Keywords
Presentation 2007-04-26 13:50
Degree reduction of lattice based attack for RSA
Yoshinori Aono (Tokyo Tech) COMP2007-5
Abstract (in Japanese) (See Japanese page) 
(in English) Boneh and Durfee proposed
a method for attacking the RSA cryptography,
which is based on LLL algorithm
and which we call {\em lattice based attack}.
it was shown that
some algorithm following their lattice based attack
can break an RSA with public key $(e,N)$
when $e\approx N$, factors of $N$ satisfies $p+q<3\sqrt{N}$, and its secret key satisfies $d<N^{0.2928}$.
But unfortunately,
we cannot carry out their attack when $d\approx N^{0.2928}$
because the degree of lattice becomes to large.
In this paper,
we first overview this lattice based attack
and propose our new lattice with which
we may be able to reduce the lattice size used to break a given RSA;
more specifically,
we can reduce the degree of matrix by about 8\% to 15\% compared
with the algorithm of Boneh and Durfee.
Keyword (in Japanese) (See Japanese page) 
(in English) RSA / Lattice based attack / Degree reduction / / / / /  
Reference Info. IEICE Tech. Rep., vol. 107, no. 24, COMP2007-5, pp. 33-40, April 2007.
Paper # COMP2007-5 
Date of Issue 2007-04-19 (COMP) 
ISSN Print edition: ISSN 0913-5685  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. (No. 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee COMP  
Conference Date 2007-04-26 - 2007-04-26 
Place (in Japanese) (See Japanese page) 
Place (in English) Katsura Campus, Kyoto University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2007-04-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Degree reduction of lattice based attack for RSA 
Sub Title (in English)  
Keyword(1) RSA  
Keyword(2) Lattice based attack  
Keyword(3) Degree reduction  
1st Author's Name Yoshinori Aono  
1st Author's Affiliation Tokyo Institute of Technology (Tokyo Tech)
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Date Time 2007-04-26 13:50:00 
Presentation Time 35 
Registration for COMP 
Paper # IEICE-COMP2007-5 
Volume (vol) IEICE-107 
Number (no) no.24 
Page pp.33-40 
#Pages IEICE-8 
Date of Issue IEICE-COMP-2007-04-19 

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