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Nonlinear Piece In Hand Perturbation Vector Method for Enhancing Security of Multivariate Public Key Cryptosystems

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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

The piece in hand (PH) is a general scheme which is applicable to any reasonable type of multivariate public key cryptosystems for the purpose of enhancing their security. In this paper, we propose a new class PH method called NLPHPV (NonLinear Piece in Hand Perturbation Vector) method. Although our NLPHPV uses similar perturbation vectors as are used for the previously known internal perturbation method, this new method can avoid redundant repetitions in decryption process. With properly chosen parameter sizes, NLPHPV achieves an observable gain in security from the original multivariate public key cryptosystem. We demonstrate these by both theoretical analyses and computer simulations against major known attacks and provides the concrete sizes of security parameters, with which we even expect the grater security against potential quantum attacks.

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Author information

Authors and Affiliations

  1. Institute of Information Security, 2–14–1 Tsuruya-cho, Kanagawa-ku, Yokohama-shi, 221–0835, Japan

    Ryou Fujita & Shigeo Tsujii

  2. Research and Development Initiative, Chuo University, 1–13–27 Kasuga, Bunkyo-ku, Tokyo, 112–8551, Japan

    Kohtaro Tadaki

Authors
  1. Ryou Fujita
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  2. Kohtaro Tadaki
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  3. Shigeo Tsujii
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Editor information

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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Fujita, R., Tadaki, K., Tsujii, S. (2008). Nonlinear Piece In Hand Perturbation Vector Method for Enhancing Security of Multivariate Public Key Cryptosystems . 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_11

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  • DOI: https://doi.org/10.1007/978-3-540-88403-3_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88402-6

  • Online ISBN: 978-3-540-88403-3

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