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GaloisField -- the class of all Galois fields

The type GaloisField is a member of the class Type. Each object of class GaloisField is called a Galois field. Each Galois field is also a member of class EngineRing.

Making a Galois field :

  • GF Ring -- make a finite field from a ring
  • GF ZZ -- make a finite field of a given order
  • GF(ZZ,ZZ) -- make a finite field of a given prime power order
  • Methods for using a Galois field :

  • ambient GaloisField
  • coefficientRing GaloisField
  • dim GaloisField
  • isField GaloisField
  • random GaloisField

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