Some results concerning generalized bent functions

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Authors
Stănică, Pantelimon
Gaangopadhyay, Sugata
Singh, Brajesh Kumar
Subjects
generalized Boolean functions
generalized bent functions
spreads
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2012
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Abstract
In this paper we investigate the properties of generalized bent functions defined on Zn/2 with values in Zq wherre q>2 is any positive integer. We characterize the class of generalized bent functions symmetric with respect to two variables, provide an analogue of Maiorana-McFarland type bent functions in the generalized set up. A class of bent functions called generalized spreads type is introduced and it is demonstrated that recently introduced Dillon type generalized bent functions and Maiorana-McFarland type generalized bent functions can be described as generalized spreads type functions. Thus unification of two different types of generalized bent functions is achieved.
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Article
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https://hdl.handle.net/10945/40280
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Applied Mathematics
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Naval Postgraduate School (U.S.)
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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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