Title
Trace Representations and Multi-rate Constructions of Two Classes of Generalized Cyclotomic Sequences
Abstract
In this paper, two classes of generalized cyclotomic sequences of period pq are reconstructed by means of multi-rate parallel combinations of binary Legen- dre sequences which are clocked at different rates. Then these generalized cyclotomic sequences can be generated by combinations of short and cheap LFSR's. From the multi-rate constructions and the trace representation of binary Legendre sequences, we present trace representations of these generalized cyclotomic sequences, which is important to the investigation of cryptographic properties of these sequences.
Year
Venue
Keywords
2008
I. J. Network Security
stream cipher,linear complexity,minimal poly- nomial,cyclotomic sequence,minimal polynomial,stream
Field
DocType
Volume
Discrete mathematics,Linear feedback shift register,Computer science,Cryptography,Computer network,Legendre polynomials,Complementary sequences,Binary number
Journal
7
Issue
ISSN
Citations 
2
18163548
2
PageRank 
References 
Authors
0.41
4
4
Name
Order
Citations
PageRank
Tongjiang Yan184.07
Xiaoni Du218216.46
Shuqing Li3204.13
GuoZhen Xiao423928.18