Factoring polynomials over global fields I

  • Authors:
  • Michael E. Pohst

  • Affiliations:
  • Technische Universität Berlin, Institut für Mathematik-MA 8-1, Straβe des 17. Juni 136, 10623 Berlin, Germany

  • Venue:
  • Journal of Symbolic Computation
  • Year:
  • 2005

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Abstract

In this paper we present a generic algorithm for factoring polynomials over global fields F. As efficient implementations of that algorithm for number fields and function fields differ substantially, these cases will be treated separately. Complexity issues and implementations will be discussed in part II which also contains illustrative examples.