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广义二元Bent序列的性质

Analysis of Generalized Binary Bent Sequences

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【作者】 常祖领柯品惠张劼温巧燕

【Author】 CHANG Zu-ling1,2, KE Pin-hui1,2, ZHANG Jie1,2, WEN Qiao-yan1(1. School of Sciences, Beijing University of Posts and Telecommunications, Beijing 100876, China;2. State Key Laboratory of Information Security, Chinese Academy of Sciences, Beijing 100039, China)

【机构】 北京邮电大学理学院

【摘要】 二元Bent序列是一类重要的序列,因为它们具有最优相关性和平衡性,所以可以应用于许多通信领域中.广义二元Bent序列是根据广义Bent函数推出的,也具有最优相关性和平衡性.利用迹变换的性质讨论广义Bent函数与广义二元Bent序列的性质,找到广义二元Bent序列和一般的二元Bent序列之间的关系,并得到广义二元Bent序列更多的构造方法.

【Abstract】 Binary Bent sequence is one of the class important sequences, because it has optimal correlation and balanced property, so it’s also a good candidate for many communication systems. Generalized binary Bent sequences are constructed according to generalized Bent functions, and they also have optimal correlation and balanced property. The properties of generalized Bent functions and generalized binary Bent sequences corresponding to the properties of trace transform were discussed. The relations between the conventional binary Bent sequences and the generalized binary Bent sequences were found, and more methods to construct the generalized binary Bent sequences were provided.

【基金】 国家自然科学基金项目(60373059);教育部博士点基金项目(20040013007);中科院信息安全重点实验室开放基金项目
  • 【会议录名称】 2005年信息与通信领域博士后学术会议论文集
  • 【会议名称】2005年信息与通信领域博士后学术会议
  • 【会议时间】2005-10
  • 【会议地点】中国北京
  • 【分类号】TN918
  • 【主办单位】北京邮电大学学报
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