New Minimal Modified Radix-r Representation with Applications to Smart Cards

  • Marc Joye
  • Sung-Ming Yen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2274)

Abstract

This paper considers the problem of finding a minimumweighted representation of an integer under any modified radix-r number system. Contrary to existing methods, the proposed transformation is carried out from the left to the right (i.e., from the most significant position). This feature finds numerous applications and especially in fast arithmetic techniques because it reduces both time and space complexities, which is particularly attractive for small devices like smart cards.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Marc Joye
    • 1
  • Sung-Ming Yen
    • 2
  1. 1.Card Security GroupGemplus Card InternationalGémenos CedexFrance
  2. 2.Laboratory of Cryptography and Information Security (LCIS) Dept of Computer Science and Information EngineeringChung-LiTaiwan, ROC

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