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Paper Abstract and Keywords
Presentation 2014-06-05 16:40
Higher Order Monomial Attack to FEAL-4
Toshinobu Kaneko (TUS) IA2014-4 ICSS2014-4
Abstract (in Japanese) (See Japanese page) 
(in English) In ARX type cipher, relations between input and output variables are a system of quadratic equations on $GF (2)$, if you regard carries in arithmetic addition as independent variables. In this paper, we show an algorithm to derive equations of higher-order monomial form, focusing on lower bits dependency of the carries. In the equation, component ariables in higher-order monomial are linear sum of round-keys and input-output variables. Values which do not satisfy the equation can be easily btained.
We discuss a new attack algorithm utilizing such properties. To evaluate the attack, we applied it to FEAL-4 data randomization equipment, in known-text attack scenario. Information theoretical analysis says that we need 3 blocks of known-texts to determine secret round-keys. It is estimated that the new algorithm needs only 4 blocks, and that the memory complexity is $2^{25.1}$.
Keyword (in Japanese) (See Japanese page) 
(in English) ARX cipher / known-text attack / higher order monomial attack / system of quadratic equations / FEAL-4 / / /  
Reference Info. IEICE Tech. Rep., vol. 114, no. 71, ICSS2014-4, pp. 15-20, June 2014.
Paper # ICSS2014-4 
Date of Issue 2014-05-29 (IA, ICSS) 
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)
Download PDF IA2014-4 ICSS2014-4

Conference Information
Committee ICSS IA  
Conference Date 2014-06-05 - 2014-06-06 
Place (in Japanese) (See Japanese page) 
Place (in English) Takikawa Memorial Hall, Kobe University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Internet Security, etc. 
Paper Information
Registration To ICSS 
Conference Code 2014-06-ICSS-IA 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Higher Order Monomial Attack to FEAL-4 
Sub Title (in English)  
Keyword(1) ARX cipher  
Keyword(2) known-text attack  
Keyword(3) higher order monomial attack  
Keyword(4) system of quadratic equations  
Keyword(5) FEAL-4  
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1st Author's Name Toshinobu Kaneko  
1st Author's Affiliation Tokyo University of Science (TUS)
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Speaker Author-1 
Date Time 2014-06-05 16:40:00 
Presentation Time 25 minutes 
Registration for ICSS 
Paper # IA2014-4, ICSS2014-4 
Volume (vol) vol.114 
Number (no) no.70(IA), no.71(ICSS) 
Page pp.15-20 
#Pages 6 
Date of Issue 2014-05-29 (IA, ICSS) 

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