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F. Ruskey, <a href="http://www.theory.cs.uviccombos.ca/~cos/inf/neckorg/TraceSubtracePoly.htmlTSpoly">Number of irreducible polynomials over GF(2) with given trace and subtrace</a>
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K. Cattell, C. R. Miers, F. Ruskey, J. Sawada and M. Serra, "The Number of Irreducible Polynomials over GF(2) with Given Trace and Subtrace", J. Comb. Math. and Comb. Comp., 47 (2003) 31-64.
K. Cattell, C. R. Miers, F. Ruskey, J. Sawada and M. Serra, <a href="https://www.researchgate.net/publication/2634456_The_Number_of_Irreducible_Polynomials_over_GF2_with_Given_Trace_
a(n) = (1/n) * Sum_{ L(n, k) : n+k = 3 mod 4}, where L(n, k) = Sum_{ mu(d)*{binomial(n/d choose , k/d} ) : d|gcd(n, k)}.
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