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On the existence of primitive normal elements of rational form over finite fields of even characteristic

On the existence of primitive normal elements of rational form over finite fields of even characteristic

Let [Formula: see text] be an even prime power and [Formula: see text] an integer. By [Formula: see text], we denote the finite field of order [Formula: see text] and by [Formula: see text] its extension of degree [Formula: see text]. In this paper, we investigate the existence of a …