Publication:
Partial spread and vectorial generalized bent functions

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Authors
Martinsen, Thor
Meidl, Wilfried
Stănică, Pantelimon
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Advisors
Date of Issue
2015-11-05
Date
Publisher
Springer
Language
Abstract
In this paper we generalize the partial spread class and completely describe it for generalized Boolean functions from F(n/2) to Z(2t). Explicitly, we describe gbent function from F(n/2) to Z(2t), which can be seen as a gbent versio of Dillon's PS(ap) class. For the first time, we also introduce the concept of a vectorial gbent function from F(n/2) to Z(m/q), and determine the maximal value which m can attain for the q =2(t). Finally we point to a relation between vectorial gbent function and relative difference sets.
Type
Article
Description
The article of record as published may be found at http://dx.doi.org/10.1007/s10623-016-0283-7
Series/Report No
Department
Applied Mathematics
Organization
Naval Postgraduate School (U.S.)
Naval Postgraduate School (U.S.)
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Format
13 p.
Citation
Martinsen, Thor, Wilfried Meidl, and Pantelimon Stănică. "Partial spread and vectorial generalized bent functions." Designs, Codes and Cryptography 85.1 (2017): 1-13.
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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