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math.NT2012★ 4 cited
Sequences of irreducible polynomials without prescribed coefficients over odd prime fields
Simone Ugolini
In this paper we construct infinite sequences of monic irreducible polynomials with coefficients in odd prime fields by means of a transformation introduced by Cohen in 1992. We ma…
math.DS2012★ 6 cited
Sequences of binary irreducible polynomials
Simone Ugolini
In this paper we construct an infinite sequence of binary irreducible polynomials starting from any irreducible polynomial $f_0 \in \F_2 [x]$. If is of degree $n = 2^l \cdot…