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In [[mathematics]] a Galois Field is a field having a finite number of elements.

Galois fields are one of two types:

*The integers modulo a prime number ''p'', represented by Z<sub>p</sub>
*The polynomials with coefficients modulo a prime number ''p'' having operations modulo with an irreducible n-degree polynomial r(x), represented by F<sub>p^n</sub>

A Galois field with q=pn elements is typically denoted by GF<sub>q</sub> or F<sub>q</sub>.
[[category:mathematics]]
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