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Algebraic analysis of small Scale LEX-BES

Z'aba, Muhammad Reza, Wong, Kenneth Koon-Ho, Dawson, Edward Pyle, & Simpson, Leonie Ruth (2010) Algebraic analysis of small Scale LEX-BES. International Journal of Cryptology Research, 2(1), pp. 51-62.

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    Abstract

    This work 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 article, experiments were conducted to find solutions of equation systems 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 authors know, 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: 38899
    Item Type: Journal Article
    Keywords: Algebraic analysis, Block cipher, Stream ciphers, AES, Cryptanalysis
    ISSN: 1985-5753
    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
    Deposited On: 29 Nov 2010 14:58
    Last Modified: 29 Nov 2010 15:10

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