Definition:Galois Field

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Definition

A Galois field $\struct {F, +, \circ}$ is a field such that $F$ is a finite set.


The symbol conventionally used to denote a Galois field is $\F$.


Also known as

Some sources do not mention Galois, but merely refer to a finite field.

Some sources use the notation $\map {\operatorname {GF} } n$ to denote a Galois field of order $n$.


Also see

  • Results about Galois fields can be found here.


Source of Name

This entry was named for Évariste Galois.


Technical Note

The $\LaTeX$ code for \(\F\) is \F  or \FF.


Sources