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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Volume 05 > No. 1

 
   

Autocorrelation Coefficients of Two Classes of Semi-Bent Functions

PP: 85-97
Author(s)
Xuelian Li, Yupu Hu, Juntao Gao,
Abstract
Low autocorrelation is an important prerequisite of Boolean functions when used as combiners in stream ciphers. In this paper, we investigate the autocorrelation of two classes of semi-bent functions constructed by Charpin et al.. We give all the autocorrelation coefficients of these semi-bent functions and prove that they have not correlation immune. Our results show that, although these semi-bent functions have good nonlinearity, they have high autocorrelations. The cipher constructed by these semi-bent functions can be prone to differential-like cryptanalysis, and they can not resist correlation attacks. These potential weakness have to be considered before we deploy them in applications.

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