高安全G函数算法研究

doi:10.11959/j.issn.2096-3750.2019.00100

物联网学报 ›› 2019, Vol. 3 ›› Issue (2): 72-79.doi: 10.11959/j.issn.2096-3750.2019.00100

高安全G函数算法研究

陈芮¹,李赞^1,²,石嘉¹,关磊¹

¹ 西安电子科技大学综合业务网理论及关键技术国家重点实验室，陕西西安 710071
² 西安中电科西电科大雷达技术协同创新研究院有限公司，陕西西安 710071

修回日期:2018-10-29 出版日期:2019-06-30 发布日期:2019-07-17
作者简介:陈芮（1988- ），男，湖北宜昌人，西安电子科技大学博士生，主要研究方向为跳频序列设计、物理层安全。|李赞（1975- ），女，陕西西安人，西安电子科技大学教授、博士生导师，教育部“长江学者特聘教授”，主要研究方向为突发通信、数字信号处理、无线通信系统等。|石嘉（1987- ），男，陕西西安人，西安电子科技大学副教授，主要研究方向为无线系统资源分配、多载波通信、毫米波通信、隐蔽通信、物理层安全、认知无线电等。|关磊（1986- ），男，陕西渭南人，西安电子科技大学讲师，主要研究方向为跳频序列设计、跳频通信、频谱感知网络等。
基金资助:
国家自然科学基金资助项目(61631015);陕西省重点科技创新团队计划(2016KCT-01)

Research on high security G function algorithm

Rui CHEN¹,Zan LI^1,²,Jia SHI¹,Lei GUAN¹

¹ State Key Laboratory of Integrated Services Networks,Xidian University,Xi’an 710071,China
² Collaborative Innovation Center of Information Sensing and Understanding,Xi’an 710071,China

Revised:2018-10-29 Online:2019-06-30 Published:2019-07-17
Supported by:
The National Natural Science Foundation of China(61631015);The Key Scientific and Technological In-novation Team Plan of Shaanxi Province(2016KCT-01)

摘要/Abstract

摘要：

差分跳频技术克服了传统跳频抗跟踪干扰能力较弱的问题。G函数算法决定了差分跳频序列的性能，也直接影响差分跳频系统的性能。然而随着无线系统的复杂化，如大容量的差分跳频系统，传统序列的应用受到严重挑战。因此，为了提升系统的安全性，提出了一种基于混合加密算法的 G 函数构造，证明了加密算法和 G 函数的等价性并分析了混合算法的安全性。仿真结果表明，新的G函数生成的序列性能优异，可以大幅度提升系统性能。

关键词: 差分跳频序列, 密码算法, 安全性, 随机性, 复杂度

Abstract:

The differential frequency hopping (DFH) overcomes the limitation of frequency hopping and improves the ability to resist tracking interference.The G function determines the DFH sequence and directly affects the performance of DFH communication systems.However,with the complication of wireless communication system such as large capacity DFH network,which poses huge challenges to the use of the number theory based and chaos theory assisted sequence.As a result,in order to improve the security of the system,the novel G function construction was proposed with the aid of hybrid encryption algorithm and the security of hybrid algorithm was analyzed.Moreover,the equivalence principle of G function algorithm and the encryption algorithm was proved.The simulation results show that the DFH sequence generated by the new G function has excellent performance and the performance of the DFH systems is improved greatly.

Key words: differential frequency-hopping sequence, cryptographic algorithm, security, randomness, complexity

中图分类号:

TN925

陈芮,李赞,石嘉,关磊. 高安全G函数算法研究[J]. 物联网学报, 2019, 3(2): 72-79.

Rui CHEN,Zan LI,Jia SHI,Lei GUAN. Research on high security G function algorithm[J]. Chinese Journal on Internet of Things, 2019, 3(2): 72-79.

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真实情况		结论
真实情况	接受H0		接受H1
H0为真	正确		Ⅰ类错误
H1为真	Ⅱ类错误		正确

	仿射变换/s	可逆散列/s	混合加密/s
B= 1	0.974	8.949	1 333.842
B= 2	0.963	8.332	1 330.200
B= 4	0.981	8.526	1 332.970

高安全G函数算法研究

Research on high security G function algorithm

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