Cryptology ePrint Archive: Report 2011/290

Some Results Concerning Generalized Bent Functions

Pantelimon Stanica, Sugata Gangopadhyay, Brajesh Kumar Singh

Abstract: In this paper we investigate the properties of generalized bent functions defined on $\BBZ_2^n$ with values in $\BBZ_q$ where $q \ge 2$ 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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Date: received 1 Jun 2011

Contact author: gsugata at gmail com

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Version: 20110603:150745 (All versions of this report)

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