GF(q)上一类新型的广义自缩序列

J4 ›› 2009, Vol. 44 ›› Issue (10): 91-96.

• 论文 • 上一篇

GF(q)上一类新型的广义自缩序列

王锦玲兰娟丽

郑州大学数学系, 河南郑州 450001

收稿日期:2008-09-15 出版日期:2009-10-16 发布日期:2009-12-07
通讯作者: 兰娟丽(1983),女,硕士研究生,研究方向为代数与密码.
作者简介:王锦玲(1963),女,副教授,硕士生导师,研究方向为代数与密码.Email:wang63227@sohu.com
基金资助:
河南省教育厅自然科学指导性基金资助项目(200510459003)

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

WANG Jin-Ling, LAN Juan-Li

Department of Mathematics Zhengzhou University, Zhengzhou 450001, Henan, China

Received:2008-09-15 Online:2009-10-16 Published:2009-12-07

摘要/Abstract

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×q^n-1,最后给出了各种情况下线性复杂度的上界。

关键词: 广义自缩序列;最小周期;互相关性;线性复杂度

Abstract:

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.

Key words: generalized self-shrinking sequence; the least period; cross correlation feature; linear complexity

中图分类号:

TN918.4

王锦玲兰娟丽. GF(q)上一类新型的广义自缩序列[J]. J4, 2009, 44(10): 91-96.

WANG Jin-Ling, LAN Juan-Li. A special generalized self-shrinking sequence on GF(q)[J]. J4, 2009, 44(10): 91-96.

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GF(q)上一类新型的广义自缩序列

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

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