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Planarity of products of two linearized polynomials
Date
2012-11-01
Author
KYUREGHYAN, Gohar
Özbudak, Ferruh
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Let L-1(x) and L-2(x) be linearized polynomials over F-qn. We give conditions when the product L-1(x) . L-2(x) defines a planar mapping on F-qn. For a polynomial L over F-qn, let M(L) = {alpha is an element of F-qn: L(x) + alpha . x is bijective on F-qn}. We show that the planarity of the product L-1(x) . L-2(x) is linked with the set M(L) of a suitable linearized polynomial L. We use this relation to describe families of such planar mappings as well as to obtain nonexistence results. (c) 2012 Elsevier Inc. All rights reserved.
Subject Keywords
Planar mapping
,
Quadratic mapping
,
Dembowski-Ostrom polynomial
,
Linearized polynomial
,
Directions defined by linear functions
,
Cubic irreducible polynomials
URI
https://hdl.handle.net/11511/49008
Journal
FINITE FIELDS AND THEIR APPLICATIONS
DOI
https://doi.org/10.1016/j.ffa.2012.08.008
Collections
Department of Mathematics, Article
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G. KYUREGHYAN and F. Özbudak, “Planarity of products of two linearized polynomials,”
FINITE FIELDS AND THEIR APPLICATIONS
, pp. 1076–1088, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/49008.