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Explicit Hard Instances of the Shortest Vector Problem

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Post-Quantum Cryptography (PQCrypto 2008)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 5299))

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Abstract

Building upon a famous result due to Ajtai, we propose a sequence of lattice bases with growing dimension, which can be expected to be hard instances of the shortest vector problem (SVP) and which can therefore be used to benchmark lattice reduction algorithms.

The SVP is the basis of security for potentially post-quantum cryptosystems. We use our sequence of lattice bases to create a challenge, which may be helpful in determining appropriate parameters for these schemes.

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Authors and Affiliations

  1. Department of Computer Science, Technische Universität Darmstadt, Hochschulstraße 10, 64289, Darmstadt, Germany

    Johannes Buchmann, Richard Lindner & Markus Rückert

Authors
  1. Johannes Buchmann
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  2. Richard Lindner
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  3. Markus Rückert
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Editors and Affiliations

  1. Department of Computer Science, Technische Universität Darmstadt, Hochschulstraße 10, 64289, Darmstadt, Germany

    Johannes Buchmann

  2. University of Cincinnati, USA

    Jintai Ding

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Buchmann, J., Lindner, R., Rückert, M. (2008). Explicit Hard Instances of the Shortest Vector Problem. In: Buchmann, J., Ding, J. (eds) Post-Quantum Cryptography. PQCrypto 2008. Lecture Notes in Computer Science, vol 5299. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88403-3_6

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  • DOI: https://doi.org/10.1007/978-3-540-88403-3_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88402-6

  • Online ISBN: 978-3-540-88403-3

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