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International Workshop on Post-Quantum Cryptography

PQCrypto 2014: Post-Quantum Cryptography pp 229–245Cite as

ZHFE, a New Multivariate Public Key Encryption Scheme

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Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 8772))

Abstract

In this paper we propose a new multivariate public key encryption scheme named ZHFE. The public key is constructed using as core map two high rank HFE polynomials. The inversion of the public key is performed using a low degree polynomial of Hamming weight three. This low degree polynomial is obtained from the two high rank HFE polynomials, by means of a special reduction method that uses Hamming weight three polynomials produced from the two high rank HFE polynomials. We show that ZHFE is relatively efficient and that it is secure against the main attacks that have threatened the security of HFE. We also propose parameters for a practical implementation of ZHFE.

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Author information

Authors and Affiliations

  1. Universidad Nacional de Colombia, Calle 59A No 63-20, Medellin, Colombia

    Jaiberth Porras & John Baena

  2. University of Cincinnati, 4199 French Hall West, Cincinnati, OH, 45221-0025, USA

    Jintai Ding

  3. Chinese Academy of Sciences, 52 Sanlihe Rd., Beijing, China

    Jintai Ding

Authors
  1. Jaiberth Porras
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  2. John Baena
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  3. Jintai Ding
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Editor information

Editors and Affiliations

  1. Institute for Quantum Computing, University of Waterloo, 200 University Avenue West, N2L 3G1, Waterloo, ON, Canada

    Michele Mosca

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© 2014 Springer International Publishing Switzerland

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Porras, J., Baena, J., Ding, J. (2014). ZHFE, a New Multivariate Public Key Encryption Scheme. In: Mosca, M. (eds) Post-Quantum Cryptography. PQCrypto 2014. Lecture Notes in Computer Science, vol 8772. Springer, Cham. https://doi.org/10.1007/978-3-319-11659-4_14

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  • DOI: https://doi.org/10.1007/978-3-319-11659-4_14

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11658-7

  • Online ISBN: 978-3-319-11659-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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