SOME RESULTS ON GENERALIZED DIFFERENCE SETS

作     者：Xiwang CAO School of Mathematical Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China State Key Lab. of Information Security, Beijing 100049, China. 

作者机构：School of Mathematical Science Nanjing University of Aeronautics Astronautics Nanjing 210016 China State Key Lab. of Information Security Beijing 100049 China 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2008年第21卷第1期

页      面：76-84页

核心收录：

学科分类：080904[工学-电磁场与微波技术] 0810[工学-信息与通信工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 080402[工学-测试计量技术及仪器] 0804[工学-仪器科学与技术] 081001[工学-通信与信息系统] 

基　　金：National Natural Science Foundation of China under Grant No.10771100 

主　　题：Correlation functions diophantine equations generalized difference sets. 

摘      要：Sequences with ideal correlation functions have important applications in communications such as CDMA, FDMA, etc. It has been shown that difference sets can be used to construct such sequences. The author extends Pott and Bradley＇s method to a much broader case by proposing the concept of generalized difference sets. Some necessary conditions for the existence of generalized difference sets are established by means of some Diophantine equations. The author also provides an algorithm to determine the existence of generalized difference sets in the cyclic group Zv. Some examples are presented to illustrate that our method works.