有限域GF(2~(256))上椭圆曲线密码算法的硬件设计
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摘要
椭圆曲线密码体制由于其基于椭圆曲线离散对数难解性,被认为比传统公钥加密系统具有更大的优势。在对椭圆曲线加密算法进行研究的基础上,对有限域GF(2256)加密体制进行硬件设计,并使用Xinlinx ISE进行仿真,有效完成信息加密。
Elliptic curve cryptography( ECC) system is based on the difficulty of solving the elliptic curve discrete logarithm problem( ECDLP). ECC has been regarded as the candidate with the greater advantage in comparison to traditional public-key cryptography. Based on the study of ECC algorithm,this article using hardware design method over GF( 2~(256)),to achieve information encryption effectively.
Elliptic curve cryptography( ECC) system is based on the difficulty of solving the elliptic curve discrete logarithm problem( ECDLP). ECC has been regarded as the candidate with the greater advantage in comparison to traditional public-key cryptography. Based on the study of ECC algorithm,this article using hardware design method over GF( 2~(256)),to achieve information encryption effectively.
引文
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[2]HANKERSON D,VANSTONS S,MENEZES A J.Guide to elliptic curve cryptography[M].New York:Springerverlag New York Inc,2004.
[3]MENTENS N,ORS S B,PRENEEL B.An FPGA implementation of an elliptic curve processor GF(2m)[C].Proceedings of the 14 th ACM Great Lakes symposium on VLSI.ACM,2004.
[4]卢开澄,卢华明.椭圆曲线密码算法导引[M].北京:清华大学出版社,2008.
[5]赵曼,徐和根.基于FPGA的椭圆曲线密码(ECC)算法硬件设计[J].机电一体化,2013(1):85-88.
[6]LEWIAT.Key replacement in a public key cryptosystem:US Patent 5761306[P].1998-06-02.
[7]张星磊.基于椭圆曲线离散对数难题的RFID安全协议设计与分析[D].上海:上海交通大学,2011.
[8]YANG TAO Y,QUAN L,FEN L.A design of certificate authority based on elliptic curve cryptography[C].Distributed Computing and Applications to Business Engineering and Science(DCABES),2010 Ninth International Symposium on IEEE,2010.
[9]国家密码管理局.SM2椭圆曲线公钥密码算法[S].北京:中国标准出版社,2012.
[10]支铭杰.基于二进制域ECC密码算法的研究与硬件实现[D].上海:上海交通大学,2008.