Congruences and Residue Class Rings

  • Johannes A. Buchmann
Part of the Undergraduate Texts in Mathematics book series (UTM)


In this chapter, we show how to compute in residue class rings and their multiplicative groups. We also discuss algorithms for finite abelian groups. These techniques are of great importance in cryptographic algorithms.


Prime Number Finite Field Commutative Ring Unit Group Multiplicative Group 
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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Johannes A. Buchmann
    • 1
  1. 1.Department of Computer ScienceTechnical UniversityDarmstadtGermany

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