Finite Fields

  • Sebastià Xambó-Descamps
Part of the Universitext book series (UTX)


This chapter is devoted to the presentation of some of the basic ideas and results of the theory of finite fields that are used in the theory of error-correcting codes. It is a self-contained exposition, up to a few elementary ideas on rings and polynomials (for the convenience of the reader, the latter are summarized below). On the computational side, we include a good deal of details and examples of how finite fields and related objects can be constructed and used.


Prime Number Nonzero Element Finite Field Commutative Ring Prime Ring 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Sebastià Xambó-Descamps
    • 1
  1. 1.Universitat Politecnica de CatalunyaBarcelonaSpain

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