有限域F_2上多序列的广义导数  

The Generalized Derivatives of Multisequences on the Finite Field F2

作　　者：朱士信[1] 张道福[1] 

机构地区：[1]合肥工业大学数学学院,安徽合肥230009

出　　处：《南开大学学报（自然科学版）》2010年第2期73-77,共5页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：国家自然科学基金(60973125);高校博士点基金(20080359003)

摘　　要：多序列在伪随机向量的生成和保密学等领域中有着重要的应用价值.定义了有限域F_2上多序列的广义导数和多序列的周期,研究了周期多序列的周期和构成该多序列的单序列的周期之间的关系、周期多序列的广义导数序列的周期性,并给出了两类特殊条件下的二元周期多序列的k阶广义导数序列的结构.Multisequences play crucial role in many areas such as pseudorandom vector generation and cryptology et al.The generalized derivatives and the period of a multisequence on the finite field F2 are defined,the connection between the period of a periodic multisequence and the periods of the sequences that constitute the multisequence is established.And the structures of two special types of periodic multisequences on the finite field F2 is given.

关 键 词：有限域 多序列 导数 广义导数 周期 

分 类 号：TN911[电子电信—通信与信息系统]