| 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 |
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| 引用本文： | 丘维声,蔡凯.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[J].北京大学学报(自然科学版),2005,41(1):27-35. |
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| 作者姓名： | 丘维声 蔡凯 |
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| 作者单位： | 北京大学数学科学学院，北京，100871 |
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| 基金项目： | 国家自然科学基金;19831070; |
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| 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。
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| 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 |
| 收稿时间： | 2003-11-07 |
Construction and Enumeration for Periodic Quasi-Perfect Sequences and Multiplier Groups of Cyclic Hadamard Difference Sets of Type(II) |
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| QIU Weisheng,CAI Kai.Construction and Enumeration for Periodic Quasi-Perfect Sequences and Multiplier Groups of Cyclic Hadamard Difference Sets of Type(II)[J].Acta Scientiarum Naturalium Universitatis Pekinensis,2005,41(1):27-35. |
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| Authors: | QIU Weisheng CAI Kai |
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| Institution: | School of Mathematical Sciences, Peking University, Beijing, 100871 |
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| Abstract: | 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. |
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| Keywords: | periodic quasi-perfect sequences cyclic Hadamard difference sets of type(Ⅱ) multiplier groups CDMA mobile communications stream cryptography |
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