一簇新的低相关二元序列  

A new family of binary sequences with low correlation

作　　者：何业锋[1] 

机构地区：[1]西安邮电学院通信与信息工程学院,陕西西安710121

出　　处：《西安石油大学学报（自然科学版）》2012年第3期108-110,2,共3页Journal of Xi’an Shiyou University（Natural Science Edition）

基　　金：国家自然科学基金(编号:61072140);陕西省教育厅专项科研计划项目(编号:2010JK825);校青年教师科研基金项目(编号:ZL2010-16)

摘　　要：低相关二元序列的应用领域非常广泛,在扩频通信、码分多址通信、全球定位系统和密码学中都有重要应用.应用m序列和其采样序列,构造了周期为2n-1的一簇新的二元序列,其中n为偶数.新的二元序列集的最大相关值为-1+2n/2+2n/2+1,并且它包含的二元序列的个数为2n/2+23n+2.该序列集包含了2个具有最优相关性的序列子集,其中之一为小集合的Kasami序列.提出的具有较多序列数目的低相关二元序列集可以用于码分多址通信系统.Binary sequences with low correlation have important applications in spread spectrum communication systems,code division multiple access(CDMA) communication systems,global positioning systems(GPS) and stream ciphers.A new family of binary sequences of period(is an even) is constructed by combining the maximal length binary sequences with their decimations.The new binary sequence family has maximum correlation of and the size of the family is.It includes two subfamilies of binary sequences with optimal correlation,one of which is the small set of Kasami sequences.The proposed sequence family of low correlation and large family size can be used in code-division multiple-access communication systems.

关 键 词：低相关二元序列 序列数目 Kasami序列 

分 类 号：TN918.1[电子电信—通信与信息系统]