GF(q)上一类新型的广义自缩序列  

A special generalized self-shrinking sequence on GF(q)

作　　者：王锦玲[1] 兰娟丽[1] 

机构地区：[1]郑州大学数学系,河南郑州450001

出　　处：《山东大学学报（理学版）》2009年第10期91-96,共6页Journal of Shandong University(Natural Science)

基　　金：河南省教育厅自然科学指导性基金资助项目(200510459003)

摘　　要：设计了GF(q)上一类新型的广义自缩生成器。GF(q)上的广义自缩序列族B(a)具有群结构和线性结构,这些序列之间具有良好的互相关性和均衡性。当n≥2时,族B(a)中不少于(q-1)/q的序列具有最小周期2×qn-1,最后给出了各种情况下线性复杂度的上界。A new sequence generator on GF（q） is presented.The novel generalized self-shrinking sequence family B（a） on GF（q） has a group and linear structure.Any two sequences of the family have a perfect cross-correlation feature,and all sequences in the family are balanced except several special sequences.If n≥2,no less than（q-1）q of the family B（a） have their least periods 2×q^n-1.Finally,the upper bounds of linear complexity in every case are given.

关 键 词：广义自缩序列 最小周期 互相关性 线性复杂度 

分 类 号：TN918.4[电子电信—通信与信息系统]