Математика Этерна
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On the Number of Irreducible Polynomials Over GF(2) with some Prescribed Coefficients

Kübra Afşar, Ernist Tilenbaev, Erdal Güner and Zülfükar Saygı

In this paper we evaluate the number of monic irreducible polynomials in 𝔽2[𝑥] of even degree 𝑛 whose first four coefficients have prescribed values. This problem first studied in [7] and some approximate results are obtained. Our results extends the results given in [7] in some cases.