首页|一种应用于椭圆曲线密码的双域模加减运算的优化设计

一种应用于椭圆曲线密码的双域模加减运算的优化设计

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椭圆曲线密码算法由于其安全特性被广泛应用于各种领域,当前支持多协议和多域的ECC算法成为研究的热点.围绕素数域和二元域下的ECC算法展开研究,对双域模加减运算进行了优化设计.针对素数域模加减运算中加法器计算延时较大的问题,设计素数域的模加和模减运算使用同一个运算通路,使用进位保留加法器和加法器组合对电路结构进行优化,缩短素数域模加减运算时间.
An Optimal Design of Dual-Field Modular Addition/Subtraction Calculation Applied to Elliptic Curve Cryptography
The elliptic curve cryptography(ECC)algorithm is widely used in various fields due to its security features.Nowadays the ECC algorithm supporting multi-protocol and multi-field has become a research hotspot.This paper focuses on the ECC algorithm over the prime field and the binary field,optimizes the dual-field modular addition/subtraction calcu-lation.Aiming at the problem that the calculation delay of the adder is relatively large in the modular addition/subtraction over the prime field,the modular addition/subtraction over the prime field is designed to use the same operation path,the combination of the carry saved adder(CSA)and the adder is used to optimize the circuit structure and shorten the modular addition/subtraction running time over the prime field.

elliptic curve cryptographydual-field modular addition/subtraction calculationhardware implementation

沈涵、付鹏

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上海市隧道工程轨道交通设计研究院,上海 200070

椭圆曲线密码 双域模加减运算 硬件实现

2024

工业控制计算机
中国计算机学会工业控制计算机专业委员会 江苏省计算技术研究所有限责任公司

工业控制计算机

影响因子:0.258
ISSN:1001-182X
年,卷(期):2024.37(2)
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