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Algebraic Side-Channel Attacks

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Information Security and Cryptology (Inscrypt 2009)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 6151))

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Abstract

In 2002, algebraic attacks using overdefined systems of equations have been proposed as a potentially very powerful cryptanalysis technique against block ciphers. However, although a number of convincing experiments have been performed against certain reduced algorithms, it is not clear whether these attacks can be successfully applied in general and to a large class of ciphers. In this paper, we show that algebraic techniques can be combined with side-channel attacks in a very effective and natural fashion. As an illustration, we apply them to the block cipher PRESENT that is a stimulating first target, due to its simple algebraic structure. The proposed attacks have a number of interesting features: (1) they exploit the information leakages of all the cipher rounds, (2) in common implementation contexts (e.g. assuming a Hamming weight leakage model), they recover the block cipher keys after the observation of a single encryption, (3) these attacks can succeed in an unknown-plaintext/ciphertext adversarial scenario and (4) they directly defeat countermeasures such as boolean masking. Eventually, we argue that algebraic side-channel attacks can take advantage of any kind of physical leakage, leading to a new tradeoff between the robustness and informativeness of the side-channel information extraction.

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Author information

Authors and Affiliations

  1. UCL Crypto Group, Université catholique de Louvain, B-1348, Louvain-la-Neuve, Belgium

    Mathieu Renauld & François-Xavier Standaert

Authors
  1. Mathieu Renauld
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  2. François-Xavier Standaert
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Editor information

Editors and Affiliations

  1. Institute for Infocomm Research, Singapore

    Feng Bao

  2. Google Inc. and Computer Science Department, Columbia University, Room 464, S.W. Mudd Building, 10027, New York, NY, USA

    Moti Yung

  3. Institute of Software, SKLOIS, Chinese Academy of Sciences, 100190, Beijing, China

    Dongdai Lin

  4. SKLOIS, Graduate University of Chinese Academy of Sciences, 19A Yuquan Road, 100049, Beijing, China

    Jiwu Jing

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Renauld, M., Standaert, FX. (2010). Algebraic Side-Channel Attacks. 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_29

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  • DOI: https://doi.org/10.1007/978-3-642-16342-5_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16341-8

  • Online ISBN: 978-3-642-16342-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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