周期拟完美序列的构造和计数与循环Hadamard(Ⅱ)型差集的乘子群  

Construction and Enumeration for Periodic Quasi-Perfect Sequences and Multiplier Groups of Cyclic Hadamard Difference Sets of Type(Ⅱ)

作　　者：丘维声[1] 蔡凯[1] 

机构地区：[1]北京大学数学科学学院,北京100871

出　　处：《北京大学学报（自然科学版）》2005年第1期27-35,共9页Acta Scientiarum Naturalium Universitatis Pekinensis

基　　金：国家自然科学基金 (198310 70 );2002年度福建省教育厅B类科研基金 (ZB0 2 2 16);龙岩师专自然科学研究基金 (ZR8)资助项目

摘　　要：揭示了周期拟完美序列与循环Hadamard(Ⅱ )型差集的深刻对应关系 ,进而建立了周期拟完美序列的计数公式 ;并且通过决定循环Hadamard(Ⅱ )型差集的乘子群 ,分别求出了各族循环Hadamard(Ⅱ )型差集对应的本质不同的拟完美序列的个数。Periodic quasi-perfect sequences are very important in CDMA mobile communication and in stream ciphers.The relation between periodic quasi-perfect sequences and cyclic Hadamard difference sets of type (Ⅱ) is studied,the enumerating formula for periodic quasi-perfect sequences is given,the multiplier groups of some cyclic Hadamard difference sets of type (Ⅱ) are determined,and the numbers of some periodic quasi-perfect sequences corresponding to cyclic Hadamard difference sets of type (Ⅱ) are obtained.

关 键 词：周期拟完美序列 循环Hadamard(Ⅱ)型差集 乘子群 CDMA移动通信 流密码 

分 类 号：O157[理学—数学] O152[理学—基础数学]