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 Yan | 1 | 8 | 4.07 |
Xiaoni Du | 2 | 182 | 16.46 |
Shuqing Li | 3 | 20 | 4.13 |
GuoZhen Xiao | 4 | 239 | 28.18 |