Difference between revisions of "Galois fields"
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| − | + | In [[mathematics]] a '''Galois field''' is a [[Field (mathematics)|field]] having a finite number of elements. | |
Galois fields are one of two types: | Galois fields are one of two types: | ||
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A Galois field with q=p^n elements is typically denoted by GF<sub>q</sub> or F<sub>q</sub>. | A Galois field with q=p^n elements is typically denoted by GF<sub>q</sub> or F<sub>q</sub>. | ||
| − | [[ | + | [[Category:Algebra]] |
Latest revision as of 13:16, July 13, 2016
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.