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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/15636
Title: A new construction of bent functions based on ℤ-bent functions
Authors: Gangopadhyay, Sugata
Joshi A.
Leander G.
Sharma R.K.
Published in: Proceedings of Designs, Codes, and Cryptography
Abstract: Dobbertin has embedded the problem of construction of bent functions in a recursive framework by using a generalization of bent functions called ℤ -bent functions. Following his ideas, we generalize the construction of partial spreads bent functions to partial spreads ℤ -bent functions of arbitrary level. Furthermore, we show how these partial spreads ℤ -bent functions give rise to a new construction of (classical) bent functions. Further, we construct a bent function on 8 variables which is inequivalent to all Maiorana-McFarland as well as PS ap type bents. It is also shown that all bent functions on 6 variables, up to equivalence, can be obtained by our construction. © 2012 Springer Science+Business Media, LLC.
Citation: Proceedings of Designs, Codes, and Cryptography, (2013), 243- 256
URI: https://doi.org/10.1007/s10623-012-9687-1
http://repository.iitr.ac.in/handle/123456789/15636
Issue Date: 2013
Keywords: Boolean functions
Fourier transform
{\mathbb{Z} } -bent functions
ISSN: 9251022
Author Scopus IDs: 55999031500
57197060209
10144923200
56377805700
Author Affiliations: Gangopadhyay, S., Indian Statistical Institute, Chennai Centre, Chennai, India
Joshi, A., Department of Mathematics, Indian Institute of Technology, Delhi, India
Leander, G., Department of Mathematics, Technical University of Denmark, Kongens Lyngby, Denmark
Sharma, R.K., Department of Mathematics, Indian Institute of Technology, Delhi, India
Corresponding Author: Gangopadhyay, S.; Indian Statistical Institute, Chennai Centre, Chennai, India; email: gsugata@gmail.com
Appears in Collections:Conference Publications [CS]

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