Computation of approximate L-th roots modulo n and application to cryptography

  • Authors:
  • M. Girault;P. Toffin;B. Vallée

  • Affiliations:
  • -;-;-

  • Venue:
  • CRYPTO '88 Proceedings on Advances in cryptology
  • Year:
  • 1990

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Abstract

The goal of this paper is to give a unified view of various known results (apparently unrelated) about numbers arising in crypto schemes as RSA, by considering them as variants of the computation of approximate L-th roots modulo n. Here one may be interested in a number whose L-th power is "close" to a given number, or in finding a number that is "close" to its exact L-th root. The paper collects numerous algorithms which solve problems of this type.