Treffer: Several New Infinite Families of Bent Functions and Their Duals
Title:
Several New Infinite Families of Bent Functions and Their Duals
Authors:
Source:
IEEE transactions on information theory. 60(7):4397-4407
Publisher Information:
New York, NY: Institute of Electrical and Electronics Engineers, 2014.
Publication Year:
2014
Physical Description:
print, 34 ref
Original Material:
INIST-CNRS
Subject Terms:
Telecommunications, Télécommunications, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Telecommunications et theorie de l'information, Telecommunications and information theory, Théorie de l'information, du signal et des communications, Information, signal and communications theory, Théorie de l'information, Information theory, Fonction booléenne, Boolean function, Función booliana, Méthode combinatoire, Combinatorial method, Método combinatorio, Transformation Hadamard, Hadamard transformation, Transformación Hadamard, Boolean functions, Maiorana-McFarland class, Niho exponents, Walsh-Hadamard transformation, bent functions, derivative, dual
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Laboratoire Analyse, Géométrie et Applications, French National Centre for Scientific Research, University of Paris XIII, Villetaneuse 93430, France
Department of Mathematics, University of Paris VIII, Saint-Denis 93200, France
Department of Mathematics, University of Paris VIII, Saint-Denis 93200, France
ISSN:
0018-9448
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Telecommunications and information theory
Accession Number:
edscal.28603584
Database:
PASCAL Archive
Weitere Informationen
Bent functions are optimal combinatorial objects. Since their introduction, substantial efforts have been directed toward their study in the last three decades. A complete classification of bent functions is elusive and looks hopeless today, therefore, not only their characterization, but also their generation are challenging problems. This paper is devoted to the construction of bent functions. First, we provide several new effective constructions of bent functions, self-dual bent functions, and antiself-dual bent functions. Second, we provide seven new infinite families of bent functions by explicitly calculating their dual.