Affiliations: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667 India. gsugata@gmail.com | Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667 India. singh.brajesho584@gmail.com
Note: [] Address for correspondence: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667 India
Note: [] Research supported by CSIR, India
Abstract: In this paper we study the lower bounds of second-order nonlinearities of bent functions in the class D0 constructed by modifying certain cubic Maiorana-McFarland (MMF) type bent functions. We also obtain improvements on existing results on second-order nonlinearities of some cubic MMF type bent functions having no affine derivative.
Keywords: Second-order nonlinearity, bent functions, Maiorana-McFarland type bents, ${\rm D}_0$ type bents
