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Public-Key Encryption Based on Chebyshev Polynomials

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Abstract

We propose public-key encryption algorithms based on Chebyshev polynomials, which are secure, practical, and can be used for both encryption and digital signature. Software implementation and properties of the algorithms are discussed in detail. We show that our ElGamal-like and RSA-like algorithms (when Chebyshev polynomials are employed) are as secure as the original ElGamal and RSA algorithms.

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Authors and Affiliations

  1. Institute for Nonlinear Science, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0402, USA

    L. Kocarev

  2. Faculty of Electrical Engineering, Karpos II, Skopje, Macedonia

    J. Makraduli

  3. STMicroelectronics, Soft Computing, Si-Optics and Post Silicon Technology, Corporate RandD Via Remo De Feo 1, 80022 Arzano (Napoli), Italy

    P. Amato

Authors
  1. L. Kocarev
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  2. J. Makraduli
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  3. P. Amato
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Corresponding authors

Correspondence to L. Kocarev, J. Makraduli or P. Amato.

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Kocarev, L., Makraduli, J. & Amato, P. Public-Key Encryption Based on Chebyshev Polynomials. Circuits Syst Signal Process 24, 497–517 (2005). https://doi.org/10.1007/s00034-005-2403-x

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  • DOI: https://doi.org/10.1007/s00034-005-2403-x

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