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GF

GF[p,d]

gives the Galois field that is a degree d extension of the prime field of p elements.

GF[q]

gives the Galois field with q elements, for q a prime power.

GF[p,ilist]

represents the Galois field with prime characteristic p and an irreducible polynomial whose coefficient list is given by ilist.

GF[p,ilist][elist]

represents an element of the Galois field GF[p,ilist] whose polynomial representation has coefficient list elist.

FiniteFields`

FiniteFields`

GF

GF[p,d]

gives the Galois field that is a degree d extension of the prime field of p elements.

GF[q]

gives the Galois field with q elements, for q a prime power.

GF[p,ilist]

represents the Galois field with prime characteristic p and an irreducible polynomial whose coefficient list is given by ilist.

GF[p,ilist][elist]

represents an element of the Galois field GF[p,ilist] whose polynomial representation has coefficient list elist.

Details and Options

To use GF, you first need to load the Finite Fields Package using Needs["FiniteFields`"].

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