Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
On the Planarity of Certain Dembowski-Ostrom Polynomials
View through CrossRef
Planar mappings, defined by Dembowski and Ostrom, are identified as a means to construct projective planes. Then, many important applications of planar mappings appear in different fields such as cryptography and coding theory. In this paper, we provide sufficient and necessary conditions for the planarity of certain Dembowski-Ostrom polynomials over the finite field extension of degree three with odd characteristic. In particular, we completely determine the coefficients of the given Dembowski-Ostrom polynomials to be planar.
Suleyman Demirel Universitesi Fen Edebiyat Fakultesi Fen Dergisi
Title: On the Planarity of Certain Dembowski-Ostrom Polynomials
Description:
Planar mappings, defined by Dembowski and Ostrom, are identified as a means to construct projective planes.
Then, many important applications of planar mappings appear in different fields such as cryptography and coding theory.
In this paper, we provide sufficient and necessary conditions for the planarity of certain Dembowski-Ostrom polynomials over the finite field extension of degree three with odd characteristic.
In particular, we completely determine the coefficients of the given Dembowski-Ostrom polynomials to be planar.
Related Results
El legado de Elinor Ostrom y su influencia en diferentes campos
El legado de Elinor Ostrom y su influencia en diferentes campos
Elinor Ostrom, ganadora del Premio Nobel de Economía en 2009, dejó un legado invaluable al mundo a través de su propuesta en Governing the commons (1990). Aunque son más los recono...
Truncated-Exponential-Based Appell-Type Changhee Polynomials
Truncated-Exponential-Based Appell-Type Changhee Polynomials
The truncated exponential polynomials em(x) (1), their extensions, and certain newly-introduced polynomials which combine the truncated exponential polynomials with other known pol...
Planarity testing of doubly periodic infinite graphs
Planarity testing of doubly periodic infinite graphs
AbstractThis paper describes an efficient way to test the VAP‐free (Vertex Accumulation Point free) planarity of one‐ and two‐dimensional dynamic graphs. Dynamic graphs are infinit...
The Non‐planarity of the Bicyclo[2.2.1]hept‐2‐ene Double bond. Crystal Structures of Bicyclo[2.2.2]oct‐2‐ene, Bicyclo[2.2.1]hept‐2‐ene, and Bicyclo[2.1.1]hex‐2‐ene Systems
The Non‐planarity of the Bicyclo[2.2.1]hept‐2‐ene Double bond. Crystal Structures of Bicyclo[2.2.2]oct‐2‐ene, Bicyclo[2.2.1]hept‐2‐ene, and Bicyclo[2.1.1]hex‐2‐ene Systems
AbstractThe crystal structures of (1R,4R,5S,8S)‐9,10‐dimethylidentricyclo[6.2.1.02,7]undec2(7)‐ene‐4,5‐dicarboxylic anhydride (3), (1R,4R,5S,8S)11‐isopropylidene‐9,10‐dimethylidene...
Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function
Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function
The aim of this paper is to construct generating functions for new families of combinatorial numbers and polynomials. By using these generating functions with their functional and ...
Orthogonality of quasi-orthogonal polynomials
Orthogonality of quasi-orthogonal polynomials
A result of P?lya states that every sequence of quadrature formulas Qn(f)
with n nodes and positive Cotes numbers converges to the integral I(f) of
a continuous function f pr...
Reflections on Vincent Ostrom, Public Administration, and Polycentricity
Reflections on Vincent Ostrom, Public Administration, and Polycentricity
Among Vincent Ostrom's many contributions to the study of public administration, policy, and political science, the concept of polycentricity remains his single most important lega...
Krein–Sobolev Orthogonal Polynomials II
Krein–Sobolev Orthogonal Polynomials II
In a recent paper, Littlejohn and Quintero studied the orthogonal polynomials {Kn}n=0∞—which they named Krein–Sobolev polynomials—that are orthogonal in the classical Sobolev space...