Title
Optimization For The Algebraic Method And Its Application To An Attack Of Misty1
Abstract
In this paper, we describe a technique for optimizing the algebraic method that is applied to higher order differential attack. The higher order differential attack is a well-known attack on block ciphers, in which we derive an attack equation to determine a round key from a property of a higher order differential of a target block cipher. The algebraic method is a linearization of the attack equation and determines the true key by a method such as Gaussian elimination. Our technique is based on linear dependency and can reduce the complexity of that method. We also describe a technique that allows the algebraic method to be used as an attack equation that holds probabilistically. We demonstrate this method by attacking a five-round MISTY1 and show that it needs 2(21.6) chosen plaintexts and 2(28.0) encryption times. The computer simulation took about two minutes to complete.
Year
Venue
Keywords
2004
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
MISTY1, higher order differential attack, algebraic method, linear dependency, probabilistic attack equation
Field
DocType
Volume
Linear dependency,Discrete mathematics,MISTY1,Algebraic method,Theoretical computer science,Mathematics
Journal
E87A
Issue
ISSN
Citations 
1
1745-1337
8
PageRank 
References 
Authors
0.69
1
3
Name
Order
Citations
PageRank
Yasuo Hatano1846.65
Hidema Tanaka29820.35
Toshinobu Kaneko320232.86