Journal on Communications ›› 2013, Vol. 34 ›› Issue (3): 171-174.doi: 10.3969/j.issn.1000-436x.2013.03.022

• Academic communication • Previous Articles     Next Articles

Two open problems about the liner structure of rotation symmetric Boolean functions

Ya-qun ZHAO1,2,Xu LI1   

  1. 1 The Fourth Institute, Information Engineering University, Zhengzhou 450002, China
    2 State Key Laboratory of Mathematical Engineering and Advanced Computing, Information Engineering University, Zhengzhou 450002, China
  • Online:2013-03-25 Published:2017-07-20
  • Supported by:
    The National Natural Science Foundation of China

Abstract:

One open problem that the balanced rotation symmetric Boolean functions with degree n? 1 on even number of variables have no non-zero linear structure was proved. A sufficient and a necessary condition were respectively given when another open problem that the rotation symmetric ean functions with degree n? 2 on odd number of va-riables have no non-zero linear structure succeed or not.

Key words: Boolean functions, rotation symmetric, linear structure, algebraic degree

No Suggested Reading articles found!