A new construction of bent functions based on Z-bent functions


S. Gangopadhyay, A. Joshi, G. Leander, R. K. Sharma,


        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. We underline the variety given by this construction by showing that all bent function in 6 variables can be constructed in this way.

BibTEX Reference Entry 

	author = {Sugata Gangopadhyay and Anand Joshi and Gregor Leander and Rajendra Kumar Sharma},
	title = "A new construction of bent functions based on Z-bent functions",
	pages = "1-10",
	booktitle = "The Seventh International Workshop on Coding and Cryptography 2011 (WCC 2011)",
	address = {Paris,  France},
	month = Apr,
	year = 2011,
	hsb = hsb999910057808,


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