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Factorization of the numbers of the form m3 + c2m2 + c1m + c0

  • Zhang Mingzhi
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1423)

Abstract

We give an algorithm which can factor integers of the form m 3 + c 2 m 2 + c 1 m + c 0, where the c i are small integers. It is expected that the time required is L δ and the space required is L λ where \(L = \exp (\sqrt {\log {\text{ }}n{\text{ log log }}n} ){\text{ and }}\delta {\text{ = }}r/\sqrt {6(r - 1)} {\text{, }}\lambda = 2/\sqrt {6(r - 1)} ,\), where r is the elimination exponent.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Zhang Mingzhi
    • 1
  1. 1.Sichuan Union UniversityUSA

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