Some Results Concerning Generalized Bent Functions

Pantelimon Stanica; Sugata Gangopadhyay; Brajesh Kumar Singh

Paper 2011/290

Some Results Concerning Generalized Bent Functions

Pantelimon Stanica, Sugata Gangopadhyay, and 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 $q \geq 2$ 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.

Metadata

Available format(s): PDF
Publication info: Published elsewhere. Unknown where it was published
Contact author(s): gsugata @ gmail com
History: 2011-06-03: received
Short URL: https://ia.cr/2011/290
License: CC BY

BibTeX

@misc{cryptoeprint:2011/290,
      author = {Pantelimon Stanica and Sugata Gangopadhyay and Brajesh Kumar Singh},
      title = {Some Results Concerning Generalized Bent Functions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2011/290},
      year = {2011},
      url = {https://eprint.iacr.org/2011/290}
}