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Wuhan University Journal of Natural Sciences

, Volume 11, Issue 6, pp 1862–1864 | Cite as

Walsh spectrum properties of rotation symmetric boolean function

  • Wang Yongjuan
  • Han Wenbao
  • Li Shiqu
Applications of Information Security
  • 65 Downloads

Abstract

Rotation symmetric function was presented by Pieprzyk. The algebraic configuration of rotation symmetric(RotS) function is special. For a RotSn variables functionf(x 1,x2,···,xn) we havef(π n k (x1,x2,···,xn)=f(x 1,x2,···,xn) fork=0,1,…n−1. In this paper, useing probability method we find that when the parameters of RotS function is under circular translation of indices, its walsh spectrum is invariant. And we prove the result is both sufficient and necessary.

Key words

rotation symmetric function rotation shift Walsh spectra 

CLC number

TN 918 

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Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Institute of Information EngineeringInformation Engineering UniversityZhengzhou, HenanChina

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