Matrix operations over finite fields?

Question:Matrix operations over finite fields?

Posted: Alasdair 98 Product: Maple

October 16 2006

If the finite field is Zp (p a prime) then it's easy. But what if the field is say, GF(2,3,x^3+x+1)? Suppose, for example, I entered:


r:=rand(8):
G:=GF(2,3,x^3+x+1):
M:=Matrix(3,3,(i,j)->G[ConvertIn](x^r()));

How would I invert M (over the field G); multiply M by another matrix, and so on? Can I do this with the Domains package? Thanks, Alasdair

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