Resource requirements for the application of addition chains in modulo exponentiation

  • Authors:
  • Jörg Sauerbrey;Andreas Dietel

  • Affiliations:
  • Lehrstuhl für Datenverarbeitung, Technische Universität München, München, Germany;Lehrstuhl für Datenverarbeitung, Technische Universität München, München, Germany

  • Venue:
  • EUROCRYPT'92 Proceedings of the 11th annual international conference on Theory and application of cryptographic techniques
  • Year:
  • 1992

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Abstract

Addition chains or sequences can be usecd to reduce the amount of multiplications to accomplish an exponentiation at the cost of more memory required. We examine known methods of exponentiations based on addition sequences and derive the parameters determining operation count and number of required registers for storing intermediate results. As a result an improved method is proposed to choose window distributions as a basis for using known addition sequence heuristics.