FPGA Implementation of Elliptic-Curve Diffie Hellman Protocol

作     者：Sikandar Zulqarnain Khan Sajjad Shaukat Jamal Asher Sajid Muhammad Rashid 

作者机构：Department of Aeronautical EngineeringEstonian Aviation AcademyTartu61707Estonia Department of MathematicsCollege of ScienceKing Khalid UniversityAbha61413Saudi Arabia Department of Electrical EngineeringBahria UniversityIslamabad44000Pakistan Department of Computer EngineeringUmm Al-Qura UniversityMakkah21955Saudi Arabia 

出 版 物：《Computers, Materials & Continua》 (计算机、材料和连续体（英文）)

年 卷 期：2022年第73卷第10期

页      面：1879-1894页

核心收录：

学科分类：08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：We acknowledge the support of Deanship of Scientific Research at King Khalid University for funding this work under grant number R.G.P.1/399/42 

主　　题：Elliptic curve cryptography point multiplication key-agreement diffie hellman area optimized architecture FPGA 

摘      要：This paper presents an efficient crypto processor architecture for key agreement using ECDH(Elliptic-curve Diffie Hellman)protocol over GF2163.The composition of our key-agreement architecture is expressed in consisting of the following:(i)Elliptic-curve Point Multiplication architecture for public key generation(DESIGN-I)and(ii)integration of DESIGN-I with two additional routing multiplexers and a controller for shared key generation(DESIGN-II).The arithmetic operators used in DESIGN-I and DESIGNII contain an adder,squarer,a multiplier and inversion.A simple shift and add multiplication method is employed to retain lower hardware ***,an essential inversion operation is operated using the Itoh-Tsujii algorithm with similar hardware resources of used squarer and multiplier *** proposed architecture is implemented in a Verilog *** implementation results are given on a Xilinx Virtex-7 FPGA(field-programmable gate array)*** DESIGN-I and DESIGN-II over GF2163,(i)the utilized Slices are 3983 and 4037,(ii)the time to compute one public key and a shared secret is 553.7μs and 1170.7μs and(iii)the consumed power is 29μW and 57μ***,the achieved area optimized and power reduced results show that the proposed ECDH architecture is a suitable alternative(to generate a shared secret)for the applications that require low hardware resources and power consumption.