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A public-key cryptosystem and a digital signature system based on the Lucas function analogue to discrete logarithms

  • Peter Smith
  • Christopher Skinner
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 917)

Abstract

Since 1975 many new cryptosystems have been based on elementary number theory, but until now it has not been recognised that they have been just as much grounded in the process of exponentiation. Lucas functions can be used to replace exponentiation to produce alternative cryptosystems that are not susceptible to attacks which rely on the fact that multiplication is closed under exponentiation, since Lucas functions do not exhibit this closure.

Keywords

Elliptic Curf Discrete Logarithm Message Block Elementary Number Theory High Order Linear 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Peter Smith
    • 1
  • Christopher Skinner
    • 2
  1. 1.LUC Encryption Technology, LtdHerne BayNew Zealand
  2. 2.LUC Encryption Technology, LtdWoollahraAustralia

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