Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2016
  • Volume: 35e
  • Issue: 2

Some New Constructions of Gbent Functions

Department of Mathematics and Statistics, Himachal Pradesh University, Shimla, 171 005, India

*email: plsharma1964@gmail.com-+91-9418003066

Mathematics Subject Classification (2010): 94A60, 06E30, 11T71

Abstract

We derive some constructions of gbent functions over ℤ4 from the linear combinations of Boolean functions with prescribed coefficients. Further, we show that the linear combinations of three Boolean functions is a gbent function under some conditions for the coefficients over ℤq.

Keywords

Boolean functions, Walsh-Hadamard transform, bent functions, gbent functions