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

作者：Gangopadhyay Sugata^*; Joshi Anand; Leander Gregor; Sharma Rajendra Kumar

来源：Designs, Codes and Cryptography, 2013, 66(1-3): 243-256.

DOI：10.1007/s10623-012-9687-1

• Boolean functions
• Z-bent functions
• Fourier transform

Dobbertin has embedded the problem of construction of bent functions in a recursive framework by using a generalization of bent functions called -bent functions. Following his ideas, we generalize the construction of partial spreads bent functions to partial spreads -bent functions of arbitrary level. Furthermore, we show how these partial spreads -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.

• 出版日期2013-1