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Extreme Pipelining Towards the Best Area-Performance Trade-Off in Hardware

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Progress in Cryptology – AFRICACRYPT 2016 (AFRICACRYPT 2016)

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Abstract

This paper presents a novel framework for the automatic pipelining of AES S-boxes using composite field representations. The framework is capable of finding positions to insert flip-flops in an almost optimal way, resulting in S-boxes with an almost optimal critical path. Our novel method is using memetic algorithms and is shown to be fast, reliable and successful. We demonstrate our framework for composite field S-boxes using a polynomial and a normal basis, respectively. Our results prove that this method should be consulted when an optimal solution is of interest. Besides experimental results with the new memetic algorithms, we also discuss the ideal model of a circuit, which can be used when assessing the quality of the obtained solutions. We emphasize that this method can be used for any circuit of interest and not only for AES S-boxes.

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Acknowledgments

This work has been supported in part by the Croatian Science Foundation under the project IP-2014-09-4882. In addition, this work was supported in part by the Research Council KU Leuven (C16/15/058) and IOF project EDA-DSE (HB/13/020). D. Sijacic is supported by the Marie Curie-Sklodowska research fellowship, within the ECRYPT-NET framework.

Author information

Authors and Affiliations

  1. KU Leuven ESAT/COSIC and IMinds, Kasteelpark Arenberg 10, 3001, Leuven-Heverlee, Belgium

    Stjepan Picek, Bohan Yang, Danilo Sijacic & Nele Mentens

  2. Faculty of Electrical Engineering and Computing, University of Zagreb, Zagreb, Croatia

    Dominik Sisejkovic & Domagoj Jakobovic

  3. Digital Security Group, ICIS, Radboud University Nijmegen, Nijmegen, The Netherlands

    Lejla Batina

Authors
  1. Stjepan Picek
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  2. Dominik Sisejkovic
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  3. Domagoj Jakobovic
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  4. Lejla Batina
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  5. Bohan Yang
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  6. Danilo Sijacic
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  7. Nele Mentens
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Corresponding author

Correspondence to Stjepan Picek .

Editor information

Editors and Affiliations

  1. Ecole Normale Supérieure, Paris, France

    David Pointcheval

  2. University of Caen, Caen, France

    Abderrahmane Nitaj

  3. Al Akhawayn University in Ifrane, Ifrane, Morocco

    Tajjeeddine Rachidi

A Appendix

A Appendix

Here, we give an example of the results for our statistical tool for a circuit of interest.

1.1 AES S-box Polynomial Basis

figure e

In Fig. 3, we give a graphical representation of the AES S-box in polynomial basis. Blue lines depict internal nodes and red lines direct inputs.

Fig. 3.
figure 3

Graphical representation of the S-box in polynomial basis(Color figure online).

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Picek, S. et al. (2016). Extreme Pipelining Towards the Best Area-Performance Trade-Off in Hardware. In: Pointcheval, D., Nitaj, A., Rachidi, T. (eds) Progress in Cryptology – AFRICACRYPT 2016. AFRICACRYPT 2016. Lecture Notes in Computer Science(), vol 9646. Springer, Cham. https://doi.org/10.1007/978-3-319-31517-1_8

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  • DOI: https://doi.org/10.1007/978-3-319-31517-1_8

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