Title : 
A Generalization of the Family of 
 
 -ary Decimated Sequences With Low Correlation
 
         
        
            Author : 
Kim, Dae San ; Chae, Hi-Joon ; Song, Hong-Yeop
         
        
            Author_Institution : 
Dept. of Math., Sogang Univ., Seoul, South Korea
         
        
        
        
        
        
        
            Abstract : 
Let p be a prime and n a positive integer. Let e|pn-1 and N=pn-1/ε . In this paper, we construct a family S of e2N p -ary sequences, each member of S has period N and the magnitudes of correlations of members of S are upper bounded by 2√(pn)=2√(eN+1).
         
        
            Keywords : 
code division multiple access; correlation methods; m-sequences; correlation magnitude; family construction generalization; low correlation p-ary decimated sequence; positive integer; upper bound; Polynomials; Sequences; Spread spectrum communication; CDMA signature sequences; Weil bound on Kloosterman sum; correlation bound; linear complexity; m-sequences;
         
        
        
            Journal_Title : 
Information Theory, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TIT.2011.2159576