Welcome to Journal of University of Chinese Academy of Sciences,Today is

›› 2010, Vol. 27 ›› Issue (2): 257-262.DOI: 10.7523/j.issn.2095-6134.2010.2.017

• Research Articles • Previous Articles     Next Articles

Two notes on Bent functions of Gold case SUN Guang-Hong1,2, WU Chuan-Kun2   

  1. 1. College of Sciences, Hohai University, Nanjing 210098,China;
    2. State Key Lab of Information Security, Institute of Software, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2009-06-13 Revised:2009-11-06 Online:2010-03-15

Abstract:

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 Leanders 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

CLC Number: