Name
Title | ||
|---|---|---|
Divisible difference sets, relative difference sets and sequences with ideal autocorrelation. |
Abstract | ||
|---|---|---|
In this correspondence, we consider the equivalent condition that a sequence possesses ideal autocorrelation function. As we know, for a binary sequence, the equivalent condition is that the characteristic class of this sequence consists of two cyclic difference sets. This paper proves that, for a p-ary sequence with d-form property, the equivalent condition is that its characteristic class consists of one cyclic divisible difference sets and p−1 relative difference sets. Moreover, a new way to construct cyclic divisible difference sets is presented. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.ins.2013.06.001 | Information Sciences |
Keywords | Field | DocType |
Sequences,Divisible difference sets,Relative difference sets,Ideal autocorrelation sequences | Discrete mathematics,Combinatorics,Pseudorandom binary sequence,Characteristic class,Mathematics,Autocorrelation | Journal |
Volume | Issue | ISSN |
249 | null | 0020-0255 |
Citations | PageRank | References |
1 | 0.35 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tongjiang Yan | 1 | 8 | 4.07 |
| GuoZhen Xiao | 2 | 239 | 28.18 |