| 一类推广的二元Legendre-Sidelnikov序列的自相关分布 |
| |
| 引用本文： | 柯品惠, 叶智钒, 常祖领. 一类推广的二元Legendre-Sidelnikov序列的自相关分布[J]. 电子与信息学报, 2016, 38(2): 303-309. doi: 10.11999/JEIT150687 |
| |
| 作者姓名： | 柯品惠 叶智钒 常祖领 |
| |
| 作者单位： | 1.(福建省网络安全与密码技术重点实验室 福州 350117) ②(郑州大学数学与统计学院 郑州 450001) |
| |
| 基金项目： | 福建师范大学网络与信息安全关键理论和技术校创新团队(IRTL1207)，福建省自然科学基金(2015J01237)，国家自然科学基金联合基金(U1304604) |
| |
| 摘 要： | 推广的Legendre-Sidelnikov序列较之原序列有更好的平衡性质，但是关于该序列的周期自相关函数，迄今仅知道一些特殊移位的情形。该文利用有限域上特征和的相关性质，给出了推广的二元Legendre-Sidelnikov序列的自相关函数的完整分布。结果表明当p3(mod 4)且qp 时，推广的Legendre-Sidelnikov序列较之原序列有更好的周期自相关函数的分布。
|
| 关 键 词： | Legendre序列 Sidelnikov序列 平衡性 周期自相关 乘法特征 |
| 收稿时间： | 2015-06-08 |
| 修稿时间： | 2015-09-11 |
Autocorrelation Distribution of Binary Generalized Legendre-Sidelnikov Sequences |
| |
| KE Pinhui, YE Zhifan, CHANG Zuling. Autocorrelation Distribution of Binary Generalized Legendre-Sidelnikov Sequences[J]. Journal of Electronics & Information Technology, 2016, 38(2): 303-309. doi: 10.11999/JEIT150687 |
| |
| Authors: | KE Pinhui YE Zhifan CHANG Zuling |
| |
| Affiliation: | 1. (Fujian Provincial Key Laboratory of Network Security and Cryptology, Fuzhou 350117, China);;2. (School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China) |
| |
| Abstract: | Compared with the original Legendre-Sidelnikov sequence, the generalized Legendre-Sidelnikov sequence has a better balanced property. For its autocorrelation distribution, however, only some special cases are known. In this paper, using the character sums, the autocorrelation distribution of the generalized binary Legendre-Sidelnikov sequence is determined completely. The result shows that the generalized Legendre-Sidelnikov sequence possesses a better autocorrelation distribution if p3 (mod 4) andqp . |
| |
| Keywords: | Legendre sequence Sidelnikov sequence Balance Periodic autocorrelation Multiplicative character |
|
| 点击此处可从《电子与信息学报》浏览原始摘要信息 |
|
点击此处可从《电子与信息学报》下载全文 |
