周期pq的二阶广义分圆序列自相关值  

Autocorrelation value of generalized cyclotomic sequences with period pq

作　　者：胡丽琴[1] 岳勤[2] 朱小萌[2] 

机构地区：[1]杭州电子科技大学通信工程学院,浙江杭州310018 [2]南京航空航天大学理学院,江苏南京210016

出　　处：《南京理工大学学报》2015年第5期550-555,共6页Journal of Nanjing University of Science and Technology

基　　金：国家自然科学基金(11171150);信息保障技术重点实验室开放基金(KJ-13-001);江苏省普通高校研究生科研创新计划(CXLX13-127);南京航空航天大学博士学位论文创新与创优基金(BCXJ13-17)

摘　　要：具有好的伪随机特性的序列在码分多址系统、流密码学等领域具有重要作用。在某些应用环境中,通常需要序列具有良好的相关特性,例如在码分多址系统中,多个用户共享同一信道,每个用户分配不同的扩频序列。为了区分彼此,减少由于同时使用同一信道而产生的竞争和干扰,需要采用相关性较低的序列。令p,q为满足gcd(p-1,q-1)=2的两个不同素数。该文给出了一类周期为N=pq的二元Whiteman广义分圆序列,并利用广义分圆数等理论给出了该序列的自相关值。Pseudorandom sequences with good properties are important for many practical applications,such as code division multiple access（ CDMA） communication systems and cryptography. The sequences with good autocorrelation are needed in some well-known applications. In CDMA systems,several users share the same bandwidth,and each user is assigned a distinct spreading sequence. In order to distinguish each other and minimize interference due to competing and simultaneous traffic across the same channel,the employed sequences are required to have low correlation. Let p,q be distinct primes with gcd（ p-1,q-1） = 2. In this paper,a class of Whiteman generalized cyclotomic binary sequence with period N = pq is constructed,and the autocorrelation value of the sequence is given.

关 键 词：分圆序列 广义分圆 自相关值 

分 类 号：O157.4[理学—数学]