基于低复杂度多项式乘法器的智能电能表椭圆曲线加密系统的设计

孙艳玲; 刑宇; 董贤光; 翟晓卉; 孙艳凤; 张宏生

孙艳玲,刑宇,董贤光,翟晓卉,孙艳凤,张宏生.基于低复杂度多项式乘法器的智能电能表椭圆曲线加密系统的设计[J].电测与仪表,2022,59(5):88-93.
sun yan lin,xing yu,Dong xian guang,Zhai xiao hui,Sun yan feng,Zhang hongsheng.Design of elliptic curve encryption system for smart meter based on low-complexity polynomial multiplication[J].Electrical Measurement & Instrumentation,2022,59(5):88-93.

基于低复杂度多项式乘法器的智能电能表椭圆曲线加密系统的设计

Design of elliptic curve encryption system for smart meter based on low-complexity polynomial multiplication

DOI：10.19753/j.issn1001-1390.2022.05.011

中文关键词: 新型可编程逻辑器件椭圆曲线加密器资源占用率低智能电能表

英文关键词:novel, field-programmable gate array (FPGA), elliptic curve cryptosystem, low resource usage, smart meters

基金项目:国家自然科学基金资助项目（5729264）；国网山东省电力公司科技项目（2021A-088）

作者中文名	作者英文名	单位
孙艳玲	sun yan lin	国网山东省电力公司营销服务中心（计量中心）
刑宇	xing yu	国网山东省电力公司营销服务中心（计量中心）
董贤光	Dong xian guang	国网山东省电力公司营销服务中心（计量中心）
翟晓卉	Zhai xiao hui	国网山东省电力公司营销服务中心（计量中心）
孙艳凤	Sun yan feng	国网天津市电力公司蓟州供电分公司
张宏生	Zhang hongsheng	国网安徽省电力公司营销服务中心

摘要点击次数: 2011

中文摘要:

智能电能表作为智能电网终端一环，其与电网内其它设备的通信连接面临着越来越多的安全性挑战。文章从智能电能表的实际应用情况出发，提出了一种应用于智能电能表的椭圆曲线加密系统的新型设计方案。该新型加密系统是基于低复杂度的多项式乘法器而设计的，具有低资源消耗和快速运算等特点。为达到加密系统的最佳运行性能，本文首先对该加密系统的最底层多项式乘法器和加法器的设计进行了结构创新；然后，本文也对最高层的椭圆曲线上的点计算过程进行了次序更新优化；最后，本文也提出了新的椭圆曲线加密系统硬件实现架构。在可编程逻辑器件（field-programmable gate array, FPGA）上的具体实验结果显示，相对于现有文献的实现效果，本文提出的设计具有面积资源占有量小和运算速度快等特点。综合而言，本设计的面积和时间复杂度比现有结果低了至少18.2%。实验结果也验证了该加密系统在智能电能表中的可行性和实用性。本文所提出加密系统适用于智能电网中的智能电能表系统，值得积极推广。

英文摘要:

Smart meters, one of the critical end-components of the smart grid, their related communications with other devices are facing more and more security challenges. Based on the practical application environment of the smart meters, this paper proposes a novel design framework of elliptic curve cryptosystem (ECC) suitable for smart meter applications. This cryptosystem is designed based on the low complexity polynomial multiplication, which has the features such as low resource usage and fast computation. To obtain the best operational performance of the cryptosystem, this paper firstly proposes architectural innovation on the polynomial multiplication and addition at the lowest level. Then, this paper also has optimized and updated the sequence of the point computation process at the highest level of ECC. Finally, this paper also presented a new implementation structure for ECC. The detailed experimental results on the field-programmable gate array (FPGA) device show that, compared with the existing designs, the proposed design has features such as small resource usage and fast computation time. In conclusion, the overall area-time complexity of the proposed design is at least 18.2% smaller than the existing results. The experimental results have also verified the feasibility and practicality of this cryptosystem in the smart meters. The proposed cryptosystem is suitable for smart meter systems in smart grid and it is worthy to popularize the proposed design.

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