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Algebraic analysis of small scale LEX-BES

Z'aba, Muhammad Reza, Wong, Kenneth, Dawson, Edward, & Simpson, Leonie (2010) Algebraic analysis of small scale LEX-BES. In Proceeding of the 2nd International Cryptology Conference 2010, Penerbit Universiti, Universiti Teknikal Malaysia Melaka, Melaka, Malaysia, pp. 77-82.

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Abstract

This paper examines the algebraic cryptanalysis of small scale variants of the LEX-BES. LEX-BES is a stream cipher based on the Advanced Encryption Standard (AES) block cipher. LEX is a generic method proposed for constructing a stream cipher from a block cipher, initially introduced by Biryukov at eSTREAM, the ECRYPT Stream Cipher project in 2005. The Big Encryption System (BES) is a block cipher introduced at CRYPTO 2002 which facilitates the algebraic analysis of the AES block cipher. In this paper, experiments were conducted to find solution of the equation system describing small scale LEX-BES using Gröbner Basis computations. This follows a similar approach to the work by Cid, Murphy and Robshaw at FSE 2005 that investigated algebraic cryptanalysis on small scale variants of the BES. The difference between LEX-BES and BES is that due to the way the keystream is extracted, the number of unknowns in LEX-BES equations is fewer than the number in BES. As far as the author knows, this attempt is the first at creating solvable equation systems for stream ciphers based on the LEX method using Gröbner Basis computations.

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ID Code: 34200
Item Type: Conference Paper
Keywords: Algebraic Analysis, Block Cipher, Stream Cipher, AES, Cryptanalysis, Grobner Basis
ISBN: 9789832948780
Subjects: Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > DATA FORMAT (080400) > Data Encryption (080402)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Past > Institutes > Information Security Institute
Copyright Owner: Copyright 2010 Please consult the authors.
Deposited On: 24 Aug 2010 09:23
Last Modified: 01 Mar 2012 00:18

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