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A Classification of Differential Invariants for Multivariate Post-quantum Cryptosystems

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Post-Quantum Cryptography (PQCrypto 2013)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 7932))

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Abstract

Multivariate Public Key Cryptography(MPKC) has become one of a few options for security in the quantum model of computing. Though a few multivariate systems have resisted years of effort from the cryptanalytic community, many such systems have fallen to a surprisingly small pool of techniques. There have been several recent attempts at formalizing more robust security arguments in this venue with varying degrees of applicability. We present an extension of one such recent measure of security against a differential adversary which has the benefit of being immediately applicable in a general setting on unmodified multivariate schemes.

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Author information

Authors and Affiliations

  1. National Institute of Standards and Technology, Gaithersburg, Maryland, USA

    Ray Perlner & Daniel Smith-Tone

  2. Department of Mathematics, University of Louisville, Louisville, Kentucky, USA

    Daniel Smith-Tone

Authors
  1. Ray Perlner
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  2. Daniel Smith-Tone
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Editor information

Editors and Affiliations

  1. XLIM Laboratory, Department DMI, Université de Limoges, 123, Avenue Albert Thomas, 87000, Limoges, France

    Philippe Gaborit

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Perlner, R., Smith-Tone, D. (2013). A Classification of Differential Invariants for Multivariate Post-quantum Cryptosystems. In: Gaborit, P. (eds) Post-Quantum Cryptography. PQCrypto 2013. Lecture Notes in Computer Science, vol 7932. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38616-9_11

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  • DOI: https://doi.org/10.1007/978-3-642-38616-9_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38615-2

  • Online ISBN: 978-3-642-38616-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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