namely x^4+x+1 is irreducible in polynomials with integer coefficients mod 2.

i was able to find a field of 16 elements...

{0,1,x,x+1,...., x^3+x^2+x+1}

What is a primitive element for this field?

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- Feb 17th 2009, 04:13 PMmathisthebestpuzzlehow do you know if a polynomial is irreducible
namely x^4+x+1 is irreducible in polynomials with integer coefficients mod 2.

i was able to find a field of 16 elements...

{0,1,x,x+1,...., x^3+x^2+x+1}

What is a primitive element for this field?