A low complexity probabilistic test for integer multiplication

  • Authors:
  • Dima Grigoriev;Gérald Tenenbaum

  • Affiliations:
  • CNRS, Mathématiques, Université de Lille, 59655, Villeneuve d'Ascq, France;Institut ílie Cartan, Université Henri Poincaré-Nancy BP 239 54506 Vanduvre, France

  • Venue:
  • Journal of Complexity
  • Year:
  • 2010

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Abstract

A probabilistic test for equality a=bc for given n-bit integers a,b,c is designed within complexity n(loglogn)exp{O(log^*n)}.