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Perturbed Hidden Matrix Cryptosystems

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Computational Science and Its Applications – ICCSA 2005 (ICCSA 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3481))

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Abstract

We apply internal perturbation [3] to the matrix-type cryptosystems [C n ] and HM constructed in [9]. Using small instances of these variants, we investigate the existence of linearization equations and degree 2 equations that could be used in a XL attack. Our results indicate that these new variants may be suitable for use in practical implementations. We propose a specific instance for practical implementation, and estimate its performance and security.

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References

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Author information

Authors and Affiliations

  1. State Key Laboratory of Information Security, Graduate School of Chinese Academy of Sciences, 100039-08, Beijing, China

    Zhiping Wu & Dingfeng Ye

  2. Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221-0025, USA

    Jintai Ding & Jason E. Gower

Authors
  1. Zhiping Wu
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  2. Jintai Ding
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  3. Jason E. Gower
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  4. Dingfeng Ye
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science, University of Perugia, via Vanvitelli, 1, I-06123, Perugia, Italy

    Osvaldo Gervasi

  2. Department of Computer Science, University of Calgary, 2500 University Drive N.W., T2N 1N4, Calgary, AB, Canada

    Marina L. Gavrilova

  3. William Norris Professor, Head of the Computer Science and Engineering Department, University of Minnesota, USA

    Vipin Kumar

  4. Department of Chemistry, University of Perugia, Via Elce di Sotto, 8, P.O. Box, I-06123, Perugia, Italy

    Antonio Laganà

  5. Institute of High Performance Computing, IHCP, 1 Science Park Road, 01-01 The Capricorn, Singapore Science Park II, 117528, Singapore

    Heow Pueh Lee

  6. School of Computing, Soongsil University, Seoul, Korea

    Youngsong Mun

  7. Clayton School of IT, Monash University, 3800, Clayton, Australia

    David Taniar

  8. OptimaNumerics Ltd, P.O. Box, Belfast, United Kingdom

    Chih Jeng Kenneth Tan

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© 2005 Springer-Verlag Berlin Heidelberg

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Wu, Z., Ding, J., Gower, J.E., Ye, D. (2005). Perturbed Hidden Matrix Cryptosystems. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2005. ICCSA 2005. Lecture Notes in Computer Science, vol 3481. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11424826_63

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  • DOI: https://doi.org/10.1007/11424826_63

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25861-2

  • Online ISBN: 978-3-540-32044-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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