RSA shortcuts

  • Authors:
  • Adi Shamir

  • Affiliations:
  • Applied Math Department, The Weizmann Institute of Science, Rehovot, Israel

  • Venue:
  • CT-RSA'03 Proceedings of the 2003 RSA conference on The cryptographers' track
  • Year:
  • 2003

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Abstract

We introduce a technique for traversal of Merkle trees, and propose an efficient algorithm that generates a sequence of leaves along with their associated authentication paths. For one choice of parameters, and a total of N leaves, our technique requires a worst-case computational effort of 2 logN / loglog N hash function evaluations per output, and a total storage capacity of less than 1.5 log2N/loglogN hash values. This is a simultaneous improvement both in space and time complexity over any previously published algorithm.