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Finite field


 

In abstract algebra, a finite field or Galois field (so named in honor of Evariste Galois) is a field that contains only finitely many elements. Finite fields are important in number theory, algebraic geometry, Galois theory, cryptography, and coding theory. The finite fields are completely known, as will be described below.

Related Topics:
Abstract algebra - Evariste Galois - Field - Number theory - Algebraic geometry - Galois theory - Cryptography - Coding theory

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