Galois fields

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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 Zp
  • The polynomials with coefficients modulo a prime number p having operations modulo with an irreducible n-degree polynomial r(x), represented by Fp^n

A Galois field with q=p^n elements is typically denoted by GFq or Fq.