Journal of University of Chinese Academy of Sciences >
Received date: 2009-06-13
Revised date: 2009-11-06
Online published: 2010-03-15
Bent functions are important in cryptography, and one must know how to judge whether a Boolean function is bent. We obtain a sufficient and necessary condition by analyzing the power in functions of Gold case. This sufficient and necessary condition is a partial generalization of the theorem in Leanders reference. Our result makes the judgement of bentness of Gold case much easier. We also discuss a sufficient and necessary condition for that the sum of a few trace functions is bent.
Key words： Boolean function; bent function; trace function; Walsh spectrum
Two notes on Bent functions of Gold case SUN Guang-Hong , WU Chuan-Kun . [J]. Journal of University of Chinese Academy of Sciences, 2010 , 27(2) : 257 -262 . DOI: 10.7523/j.issn.2095-6134.2010.2.017
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