On the Largest Linear Span of Binary Sequences with Period p^2 from Interleaved Construction

作     者：LI Shenghua ZENG Xiangyong HU Lei 

作者机构：Faculty of Mathematics and Computer Science Hubei University Wuhan 430062 Hubei China State Key Laboratory of Information Security/Graduate University of Chinese Academy of Sciences Beijing 100049 China 

出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)

年 卷 期：2008年第13卷第6期

页      面：707-711页

学科分类：0810[工学-信息与通信工程] 0839[工学-网络空间安全] 08[工学] 081001[工学-通信与信息系统] 081201[工学-计算机系统结构] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Supported by the National Natural Science Foundation ofChina (60573053 , 60603012) the Specialized Research Fund for the Doctoral Program of Higher Education of China (20050512002) 

主　　题：pseudorandom sequence low correlation interleaved constructions linear span 

摘      要：Let S be a family of binary sequences constructed from interleaved construction. The linear spans of binary sequences in S are studied in this paper. In order to achieve the largest linear span, a criterion is presented for the base sequences with periodp, where p is a prime and 2 is a primitive root modulop2. It is shown that any sequence in S has the largest linear span under the criterion. Moreover, such base sequences can be chosen easily.