Abstract
In this paper, we revisit the construction given by Pang et al. in Advances in Mathematics of Communications, 2021, 15(4): 757–775. We simplify the original construction as a product of a Boolean function with a linear function. The relationship between the Walsh transform values of the original Boolean function and those of the resulted Boolean function is established. The virtue of our proposed construction is that it can be generalized to the case of the product of a Boolean function with two linear functions. By using the bent function satisfying property <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\mathbf{P}_{\tau}$</tex> with a fixed defining set, which was first introduced by Tang et al. in 2017, Boolean functions with five or seven Walsh transform values can be derived.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
