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International Workshop on Applied Reconfigurable Computing

ARC 2009: Reconfigurable Computing: Architectures, Tools and Applications pp 355–361Cite as

A Hardware Analysis of Twisted Edwards Curves for an Elliptic Curve Cryptosystem

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5453))

Abstract

This paper presents implementation results of a reconfigurable elliptic curve processor defined over prime fields GF(p). We use this processor to compare a new algorithm for point addition and point doubling operations on the twisted Edwards curves, against a current standard algorithm in use, namely the Double-and-Add. Power analysis secure versions of both algorithms are also examined and compared. To the authors’ knowledge, this work introduces the first documented FPGA implementation for computations on twisted Edwards curves over fields GF(p).

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References

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Author information

Authors and Affiliations

  1. Claude Shannon Institute for Discrete Mathematics, Coding and Cryptography, Ireland

    Brian Baldwin, Richard Moloney, Gary McGuire & William P. Marnane

  2. Dept. of Electrical & Electronic Engineering, University College Cork, Cork, Ireland

    Brian Baldwin, Andrew Byrne & William P. Marnane

  3. Dept. of Mathematics, University College Dublin, Dublin, Ireland

    Richard Moloney & Gary McGuire

Authors
  1. Brian Baldwin
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  2. Richard Moloney
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  3. Andrew Byrne
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  4. Gary McGuire
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  5. William P. Marnane
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Editor information

Editors and Affiliations

  1. Institut für Technik der Informationsverarbeitung (ITIV), Universität Karlsruhe (TH), 76128, Karlsruhe, Germany

    Jürgen Becker

  2. ECIT Institute, Queen’s University Belfast, Queen’s Road, Queen’s Island, BT3 9DT, Belfast, UK

    Roger Woods

  3. Bradley Department of Electrical and Electronic Engineering, Virginia Tech, 302 Whittemore (0111), 24061, Blacksburg, VA, USA

    Peter Athanas

  4. Department of Electronic Engineering, National University of Ireland, Galway, Ireland

    Fearghal Morgan

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© 2009 Springer-Verlag Berlin Heidelberg

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Baldwin, B., Moloney, R., Byrne, A., McGuire, G., Marnane, W.P. (2009). A Hardware Analysis of Twisted Edwards Curves for an Elliptic Curve Cryptosystem. In: Becker, J., Woods, R., Athanas, P., Morgan, F. (eds) Reconfigurable Computing: Architectures, Tools and Applications. ARC 2009. Lecture Notes in Computer Science, vol 5453. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00641-8_41

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  • DOI: https://doi.org/10.1007/978-3-642-00641-8_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00640-1

  • Online ISBN: 978-3-642-00641-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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