Irreducible Trinomials of Higher Degree over F2
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Graphical Abstract
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Abstract
In this paper, by constructing explicitly a class of irreducible trinomials of high degree over F2, we give an affirmative answer to the following question; "Do there exist irreducible polynomials whose degree are greater than or equal to any given integer?" By using a number theoretic function we also propose three classes of reducible trinomials of high degree over F2.
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