Skip to main content
main-content

Tipp

Weitere Artikel dieser Ausgabe durch Wischen aufrufen

08.10.2016 | Ausgabe 1/2017

Designs, Codes and Cryptography 1/2017

Partial spread and vectorial generalized bent functions

Zeitschrift:
Designs, Codes and Cryptography > Ausgabe 1/2017
Autoren:
Thor Martinsen, Wilfried Meidl, Pantelimon Stănică
Wichtige Hinweise
Communicated by J. D. Key.

Abstract

In this paper we generalize the partial spread class and completely describe it for generalized Boolean functions from \({\mathbb {F}}_2^n\) to \({\mathbb {Z}}_{2^t}\). Explicitly, we describe gbent functions from \({\mathbb {F}}_2^n\) to \({\mathbb {Z}}_{2^t}\), which can be seen as a gbent version of Dillon’s \(PS_{ap}\) class. For the first time, we also introduce the concept of a vectorial gbent function from \({\mathbb {F}}_2^n\) to \({\mathbb {Z}}_q^m\), and determine the maximal value which m can attain for the case \(q=2^t\). Finally we point to a relation between vectorial gbent functions and relative difference sets.

Bitte loggen Sie sich ein, um Zugang zu diesem Inhalt zu erhalten

Literatur
Über diesen Artikel

Weitere Artikel der Ausgabe 1/2017

Designs, Codes and Cryptography 1/2017 Zur Ausgabe

Premium Partner

    Bildnachweise