Yayınlanmış 1 Ocak 2012
| Sürüm v1
Dergi makalesi
Açık
Planarity of products of two linearized polynomials
Oluşturanlar
- 1. Univ Magdeburg, Dept Math, D-39106 Magdeburg, Germany
Açıklama
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.
Dosyalar
bib-47872901-5add-4534-847b-955e74738b74.txt
Dosyalar
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