Name
Title | ||
|---|---|---|
Autocorrelation Values of New Generalized Cyclotomic Sequences of Order Two and Length pq |
Abstract | ||
|---|---|---|
Pseudo-random sequences are used extensively for their high speed and security level and less errors. As a branch, the cyclotomic
sequences and the generalized ones are studied widely because of their simple mathematical structures and excellent pseudo-random
properties. In 1998, Ding and Helleseth introduced a new generalized cyclotomy which includes the classical cyclotomy as a
special case. In this paper, based on the generalized cyclotomy, new generalized cyclotomic sequences with order two and length
pq are constructed. An equivalent definition of the sequences is deduced so that the autocorrelation values of these sequences
can be determined conveniently. The construction contributes to the understanding of the periodic autocorrelation structure
of cyclotomically-constructed binary sequences, and the autocorrelation function takes on only a few values. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1007/s11390-007-9099-2 | J. Comput. Sci. Technol. |
Keywords | Field | DocType |
cryptography,antocorrelation value,cyclotomy,sequences | Discrete mathematics,Autocorrelation technique,Mathematical structure,Computer science,Autocorrelation matrix,Complementary sequences,Statistics,Periodic graph (geometry),Binary number,Distributed computing,Special case,Autocorrelation | Journal |
Volume | Issue | ISSN |
22 | 6 | 1860-4749 |
Citations | PageRank | References |
7 | 0.62 | 4 |
Authors | ||
8 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shengqiang Li | 1 | 47 | 5.67 |
| Zhixiong Chen | 2 | 148 | 28.47 |
| Xiao-Tong Fu | 3 | 10 | 3.46 |
| GuoZhen Xiao | 4 | 239 | 28.18 |
| 李胜强 | 5 | 14 | 1.20 |
| 陈志雄 | 6 | 7 | 0.62 |
| 傅晓彤 | 7 | 13 | 1.05 |
| 肖国镇 | 8 | 7 | 0.62 |