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Security Analysis and Key Modification for ZHFE

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Post-Quantum Cryptography (PQCrypto 2016)

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Abstract

ZHFE, designed by Porras et al., is one of the few promising candidates for a multivariate public-key encryption algorithm. In this article we extend and expound upon the existing security analysis on this scheme. We prove security against differential adversaries, complementing a more accurate and robust discussion of resistance to rank and algebraic attacks. We further suggest a modification, \(ZHFE^-\), a multivariate encryption scheme which retains the security and performance properties of ZHFE while optimizing key size in this theoretical framework.

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Author information

Authors and Affiliations

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

    Ray Perlner & Daniel Smith-Tone

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

    Daniel Smith-Tone

Authors
  1. Ray Perlner
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  2. Daniel Smith-Tone
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Correspondence to Daniel Smith-Tone .

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Editors and Affiliations

  1. Kyushu University, Fukuoka, Japan

    Tsuyoshi Takagi

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Perlner, R., Smith-Tone, D. (2016). Security Analysis and Key Modification for ZHFE. In: Takagi, T. (eds) Post-Quantum Cryptography. PQCrypto 2016. Lecture Notes in Computer Science(), vol 9606. Springer, Cham. https://doi.org/10.1007/978-3-319-29360-8_13

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  • DOI: https://doi.org/10.1007/978-3-319-29360-8_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-29359-2

  • Online ISBN: 978-3-319-29360-8

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