Fast Exponentiation Using Data Compression

  • Authors:
  • Yacov Yacobi

  • Affiliations:
  • -

  • Venue:
  • SIAM Journal on Computing
  • Year:
  • 1999

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Abstract

We present the first exponentiation algorithm that uses the entropy of the source of the exponent to improve on existing exponentiation algorithms when the entropy is smaller than $(1+w(S)/l(S))^{-1}$, where $w(S)$ is the Hamming weight of the exponent, and $l(S)$ is its length. For entropy 1 it is comparable to the best-known general purpose exponentiation algorithms.