Title: A five-round algebraic property of AES and its application to the ALPHA-MAC

Authors: Jianyong Huang, Jennifer Seberry, Willy Susilo

Addresses: Centre for Computer and Information Security Research, School of Computer Science and Software Engineering, University of Wollongong, Australia. ' Centre for Computer and Information Security Research, School of Computer Science and Software Engineering, University of Wollongong, Australia. ' Centre for Computer and Information Security Research, School of Computer Science and Software Engineering, University of Wollongong, Australia

Abstract: We present a five-round algebraic property of the advanced encryption standard (AES), and we show that this algebraic property can be used to analyse the internal structure of ALPHA-MAC whose underlying block cipher is AES. In the proposed property, we modify 20 bytes from five intermediate values at some fixed locations in five consecutive rounds, and we show that after five rounds of operations, such modifications do not change the intermediate result and finally, still produce the same ciphertext. By employing the proposed five-round algebraic property of AES, we provide a method to find second preimages of the ALPHA-MAC based on the assumption that a key or an intermediate value is known. We also show that our idea can also be used to find internal collisions of the ALPHA-MAC under the same assumption.

Keywords: AES; advanced encryption standard; algebraic property; ALPHA-MAC; internal collisions; second preimages; cryptography; security; block cipher.

DOI: 10.1504/IJACT.2009.028027

International Journal of Applied Cryptography, 2009 Vol.1 No.4, pp.264 - 289

Available online: 31 Aug 2009 *

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