Abstract
Differential-linear cryptanalysis was introduced by Langford et al in 1994. After that, Biham et al proposed an enhanced differential-linear cryptanalysis in 2002. In this paper, we present an extension to the enhanced differential-linear cryptanalysis, called differential-multiple linear cryptanalysis, in which a differential characteristic can be concatenated with multiple linear characteristics to derive a differential-multiple linear distinguisher. Furthermore, we introduce a technique about how to find a differential-multiple linear distinguisher based on a differential-linear distinguisher for Feistel and SPN block ciphers. For illustration, this extension is applied to describe a differential-multiple linear distinguisher for 7-round DES, and then the best-known key recovery attack on 9-round DES is presented based on the differential-multiple linear distinguisher. As a matter of fact, our work is a new attempt to concatenate a differential characteristic with multiple linear characteristics to derive a new cryptanalytic tool which may be helpful to analyze a variety of block ciphers including Feistel and SPN schemes.
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Liu, Z., Gu, D., Zhang, J., Li, W. (2010). Differential-Multiple Linear Cryptanalysis. In: Bao, F., Yung, M., Lin, D., Jing, J. (eds) Information Security and Cryptology. Inscrypt 2009. Lecture Notes in Computer Science, vol 6151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16342-5_3
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DOI: https://doi.org/10.1007/978-3-642-16342-5_3
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