J4 ›› 2012, Vol. 39 ›› Issue (5): 30-34+41.doi: 10.3969/j.issn.1001-2400.2012.05.006

• Original Articles • Previous Articles     Next Articles

Properties of cross-correlation between two P-ary m-sequences of different periods

SUN Yuhua1;LI Hui1;YAN Tongjiang2,3   

  1. (1. Key Lab. of Computer Networks and Information Security of Ministry of Education, Xidian Univ., Xi'an  710071, China;
    2. State Key Lab of Information Security, Institute of Software, Chinese Academy of Sciences, Beijing  100049, China;
    3. China School of Sciences, China University of Petroleum, Qingdao  266555, China)
  • Received:2011-05-27 Online:2012-10-20 Published:2012-12-13
  • Contact: SUN Yuhua E-mail:sunyuhua_1@163.com

Abstract:

Recently, Ness and Helleseth initiated studies on the cross-correlation between two binary m-sequences of different periods. Based on their results, we analyse the properties of the cross-correlation between two p-ary m-sequences of different periods, and give the equations for the cross-correlation values to be met. Finally, for p=3, it is proved that the cross-correlation values takes on at least three different values.

Key words: autocorrelation, cross-correlation, m-sequence, Kasami sequence

CLC Number: 

  • TN918