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Define function in GF(q)


First of all I say that these are my first steps in SAGE. I want to define a function f(x,y), where x,y in GF(q), q=2^3 and next check all possible values of this function (for all x,y in GF(q)). If it will be necessary I'll write more details about function f.

Could you give me some advices how can I do it in SAGE? Any help will be highly appreciated.

I wish you a very happy Easter!

Best regards,