The Diffie---Hellman Problem in Lie Algebras

  • Authors:
  • Beata Rafalska

  • Affiliations:
  • University of Warmia and Mazury, Olsztyn, Poland

  • Venue:
  • RSEISP '07 Proceedings of the international conference on Rough Sets and Intelligent Systems Paradigms
  • Year:
  • 2007

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Abstract

Cryptography in its present state relies increasingly on complex mathematical theories, e.g., elliptic curves, group theory, etc. We address in this article the problem of proxy signatures and we set this problem in the framework of Lie algebras. We show how to use a chosen maximal set of differentiable automorphisms in order to carry out the task of proxy signing. We also show possible attacks and the way to protect against them.