Hi all, i'm new here and i need help, i'm working with the package GaloisField and over field GF[2^m] with m>1. What i really need is to know wich x, y in GF[8], for example, satisfies the equation x^2+xy^ay^2=b, where a and b are choosen elements of the field. Or i need to solve at least the equation x^2+cx+a=b, with c,a,b in the field.. I was able to solve x^2+a=b and ax+c=b, but when i put the equation x^2+cx+a=b it doesn't work.. anyone can help me please? Thanks
In[55]:= Solve[x^2 + F8[2] == F8[4], x]
Out[55]= {{x -> F8[5]}, {x -> F8[5]}}
In[56]:= Solve[x*F8[2] + F8[3] == F8[5], x]
Out[56]= {{x -> F8[3]}}
In[57]:= Solve[x^2 + x*F8[2] + F8[4] == F8[7], x]
Out[57]= {{x -> 0}, {x -> 0}}