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An efficient and secure RSA-like cryptosystem exploiting Rédei rational functions over conics

  • Published:2016-05 Issue: Volume:39 Page:179-194
  • ISSN:1071-5797
  • Container-title:Finite Fields and Their Applications
  • language:en
  • Short-container-title:Finite Fields and Their Applications

Author:

Bellini Emanuele,Murru Nadir

Publisher

Elsevier BV

Subject

Applied Mathematics,General Engineering,Algebra and Number Theory,Theoretical Computer Science

Reference36 articles.

1. Known-plaintext attack to two cryptosystems based on the BB equation;Alvarez;IEEE Trans. Circuits Syst. II, Express Briefs,2008

2. A fast implementation of the RSA algorithm using the GNU MP library;Biswas,2003

3. Generalized Rédei rational functions and rational approximations over conics;Barbero;Int. J. Pure Appl. Math.,2010

4. Solving the Pell equation via Rédei rational functions;Barbero;Fibonacci Q.,2010

5. Low-exponent RSA with related messages;Coppersmith,1996

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1. A privacy preservation data collection and access control using entropy-based conic curve;Journal of Intelligent & Fuzzy Systems;2023-05-04

2. Pell hyperbolas in DLP–based cryptosystems;Finite Fields and Their Applications;2022-12

3. Tangent-chebyshev maps over finite fields: New properties and functional graphs;Cryptography and Communications;2022-02-23

4. Towards a Broadcast Time-Lock Based Token Exchange Protocol;Euro-Par 2021: Parallel Processing Workshops;2022

5. Group law on affine conics and applications to cryptography;Applied Mathematics and Computation;2021-11
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