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Compact Implementations of Multi-Sbox Designs

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Smart Card Research and Advanced Applications (CARDIS 2015)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 9514))

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Abstract

Implementations of cryptographic algorithms using several different Sboxes by design are typically considered burdensome. The first reason is that unlike single-Sbox designs, serialized implementations of such cryptographic algorithms require instantiations of all Sboxes which prohibits the desired reduction of area. The second reason is that applying countermeasures such as masking causes an undesired increase in area due to the amount of different nonlinear blocks in the algorithm. In this paper, we propose a novel method to implement multi-Sbox designs using as few nonlinear blocks as possible. We exemplify our finding on DES algorithm of which the Triple-DES variant is still widely used in practice. With this method, it is possible to implement the DES substitution layer, which is composed of eight \(6 \times 4\) Sboxes, using only three 4-bit nonlinear and several affine 4-bit permutations. Our investigation shows that such an implementation requires less area than the state-of-the-art. Moreover, it opens up the possibilities for compact implementations with countermeasures.

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Acknowledgments

This work has been supported in part by the Research Council of KU Leuven (OT/13/071) and by GOA (tense). B. Bilgin was partially supported by the FWO project G0B4213N and she is a Postdoctoral Fellow of the Research Foundation - Flanders (FWO).

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Authors and Affiliations

  1. ESAT-COSIC and iMinds, KU Leuven, Leuven, Belgium

    Begül Bilgin & Svetla Nikova

  2. NXP Semiconductors, Leuven, Belgium

    Miroslav Knežević & Ventzislav Nikov

Authors
  1. Begül Bilgin
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  2. Miroslav Knežević
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  3. Ventzislav Nikov
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  4. Svetla Nikova
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Corresponding author

Correspondence to Begül Bilgin .

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Editors and Affiliations

  1. Tohoku University, Sendai, Japan

    Naofumi Homma

  2. NXP Semiconductors, Gratkorn, Austria

    Marcel Medwed

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Bilgin, B., Knežević, M., Nikov, V., Nikova, S. (2016). Compact Implementations of Multi-Sbox Designs. In: Homma, N., Medwed, M. (eds) Smart Card Research and Advanced Applications. CARDIS 2015. Lecture Notes in Computer Science(), vol 9514. Springer, Cham. https://doi.org/10.1007/978-3-319-31271-2_17

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  • DOI: https://doi.org/10.1007/978-3-319-31271-2_17

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  • Publisher Name: Springer, Cham

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