The Hidden Root Problem

  • Authors:
  • Frederik Vercauteren

  • Affiliations:
  • Department of Electrical Engineering, University of Leuven, Leuven-Heverlee, Belgium B-3001

  • Venue:
  • Pairing '08 Proceedings of the 2nd international conference on Pairing-Based Cryptography
  • Year:
  • 2008

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Abstract

In this paper we study a novel computational problem called the Hidden Root Problem, which appears naturally when considering fault attacks on pairing based cryptosystems. Furthermore, a variant of this problem is one of the main obstacles for efficient pairing inversion. We present an algorithm to solve this problem over extension fields and investigate for which parameters the algorithm becomes practical.