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基于Montgomery曲线改进ECDSA算法的研究
引用本文:王潮,时向勇,牛志华.基于Montgomery曲线改进ECDSA算法的研究[J].通信学报,2010,31(1):9-13.
作者姓名:王潮  时向勇  牛志华
作者单位:1. 上海大学,特种光纤与光接入网省部共建重点实验室,上海,200072
2. 上海大学,计算机学院,上海,200072
基金项目:国家自然科学基金,上海市重点学科和科委重点实验室基金 
摘    要:提出了一种基于Montgomery曲线改进ECDSA算法,并重点改进异步点乘问题.改进的ECDSA具有更快的计算速度并能有效地抵御时间攻击和能量攻击,将验证签名与产生签名时间之比从2倍降低到约1.2倍,减少约40%,算法对提高椭圆曲线密码的实现效率有一定意义.

关 键 词:蒙哥马利  椭圆曲线密码  椭圆曲线数字签名算法  时间攻击  能最攻击

The research of the promotion for ECDSA algorithm based on Montgomery-form ECC
WANG Chao,SHI Xiang-yong,NIU Zhi-hua.The research of the promotion for ECDSA algorithm based on Montgomery-form ECC[J].Journal on Communications,2010,31(1):9-13.
Authors:WANG Chao  SHI Xiang-yong  NIU Zhi-hua
Institution:WANG Chao1,SHI Xiang-yong1,NIU Zhi-hua2 (1. Key Lab of Specialty Fiber Optics , Optical Access Network,Ministry Education,Shanghai University,Shanghai 200072,China,2. School of Computer,China)
Abstract:Montgomery-form ECC was applied to promote ECDSA algorithm, emphases on asynchronous scalar multiplication problem, could effectively resist the timing attack and energy attack. The computation amount of the new Montgomery-form ECDSA algorithm decreases 40%, and the proportion of verifying signature algorithm to generating signature algorithm debase 1.2 times. The new Montgomery-form ECDSA algorithm will make great improvement to the implementation of ECC.
Keywords:Montgomery  ECC  ECDSA  timing attack  energy attack
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