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finite fields info


Hello, everyone!

I would like to compute the function f(x)=Trace(x^(15)) defined on an 
extension of degree 8 of a field of char=2, i.e. Z_2. The field of degree 8
could be defined by the polynomial x^8+x^6+x^5+x^4+1 over Z_2.
I would like to write the function as a string of 0,1. Can anyone help?
I would appreciate any input.
P. Stanica

-- 
anon



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