On Apr 6, 2012, at 06:54 , ArturZ wrote:

> First of all I say that these are my first steps in SAGE. 

Welcome to Sage.  Enjoy the ride!

> 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)). Details 
> about the function in attachment.
> Could you give me some advices how can I do it in SAGE?
> Any help will be highly appreciated.

You can treat the finite field GF(q) as an "iterator" (a python construct), so 
this should work for you:

F=GF(q)
for e in F:
    for g in F:
        print f(e,g)

HTH

Justin

--
Justin C. Walker, Curmudgeon at Large
Institute for the Absorption of Federal Funds
--
Democracy is two wolves and a lamb
   voting on what to have for lunch.
Liberty is a well-armed lamb contesting
   the vote.


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