Dembowski-Ostrom polynomials and Dickson polynomials
نویسندگان
چکیده
<p style='text-indent:20px;'>We give a complete classification of Dembowski-Ostrom polynomials from the composition Dickson arbitrary kind and monomials over finite fields. Moreover, by using variant Weil bound for number points affine algebraic curves fields, we discuss planarity obtained polynomials.</p>
منابع مشابه
Dembowski-Ostrom polynomials from Dickson polynomials
Motivated by several recent results, we determine precisely when Fk(X , a)− Fk(0, a) is a Dembowski-Ostrom polynomial, where Fk(X, a) is a Dickson polynomial of the first or second kind. As a consequence, we obtain a classification of all such polynomials which are also planar; all examples found are equivalent to previously known examples.
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ژورنال
عنوان ژورنال: Advances in Mathematics of Communications
سال: 2022
ISSN: ['1930-5346', '1930-5338']
DOI: https://doi.org/10.3934/amc.2022068