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First Implementation of Cryptographic Protocols Based on Algebraic Number Fields

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Information Security and Privacy (ACISP 2001)

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Abstract

We show for the first time how to implement cryptographic protocols based on class groups of algebraic number fields of degree > 2. We describe how the involved objects can be represented and how the arithmetic in class groups can be realized efficiently. To speed up the arithmetic we present our new method for multiplication of ideals. Furthermore we show how to generate cryptographically suitable algebraic number fields. Besides, we give a numerical example and analyse our run times.

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Author information

Authors and Affiliations

  1. Darmstadt University of Technology, Alexanderstr. 10, D-64283, Darmstadt, Germany

    Andreas Meyer, Stefan Neis & Thomas Pfahler

Authors
  1. Andreas Meyer
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  2. Stefan Neis
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  3. Thomas Pfahler
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Editor information

Editors and Affiliations

  1. Department of Computing, Macquarie University, North Ryde, NSW, 2109, Australia

    Vijay Varadharajan  & Yi Mu  & 

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Meyer, A., Neis, S., Pfahler, T. (2001). First Implementation of Cryptographic Protocols Based on Algebraic Number Fields. In: Varadharajan, V., Mu, Y. (eds) Information Security and Privacy. ACISP 2001. Lecture Notes in Computer Science, vol 2119. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47719-5_9

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  • DOI: https://doi.org/10.1007/3-540-47719-5_9

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