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.
KeywordsPrime Number Nonzero Element Finite Field Commutative Ring Prime Ring
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