Hi all,
I have a question how to solve system in GF(4) using Grobner basis and
elimination (I want to find just one solution).
The system (which is already in reduced form) is:

x^3+x+z
y+z

If we put z=1 then first equation x^3+x+1 has no root in GF(4). If z=0 we
have solution y=0, x=0.
Is there an algorithm that can determine right values of z instead of trying
all values?
Thanks,

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