REAL

A Carlitz type result for linearized polynomials

Csajbók, Bence and Marino, Giuseppe and Polverino, Olga (2019) A Carlitz type result for linearized polynomials. Ars Mathematica Contemporanea. ISSN 1855-3966

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Abstract

For an arbitrary q-polynomial f over GF(q^n) we study the problem of finding those q-polynomials g over GF(q^n) for which the image sets of f(x)/x and g(x)/x coincide. For n < 6 we provide sufficient and necessary conditions and then apply our result to study maximum scattered linear sets of PG(1,q^5).

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra
Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria
Depositing User: Bence Csajbók
Date Deposited: 24 Sep 2019 04:16
Last Modified: 03 Apr 2023 06:33
URI: http://real.mtak.hu/id/eprint/100762

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