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Improved Software Implementation for Montgomery elliptic curve cryptosystem

Computers, Materials & Continua 2022年第3期70卷 4847-4865页

作者： Mohammad Al-Khatib Wafaa Saif Computer Science Department College of Computer and Information SciencesImam Mohammad Ibn Saud Islamic University(IMSIU)RiyadhSaudi Arabia

The last decade witnessed rapid increase in multimedia and other applications that require transmitting and protecting huge amount of data streams *** such applications,a high-performance cryptosystem is compulsory to provide necessary security *** curve cryptosystem(ECC)has been introduced as a considerable ***,the usual sequential implementation of ECC and the standard elliptic curve(EC)form cannot achieve required performance ***,the widely used Hardware implementation of ECC is costly option and may be not *** research aims to develop a high-performance parallel software implementation for *** achieve this,many experiments were performed to examine several factors affecting ECC performance including the projective coordinates,the scalar multiplication algorithm,the elliptic curve(EC)form,and the parallel *** ECC performance was analyzed using the different factors to tune-up them and select the best choices to increase the speed of the *** results illustrated that parallel Montgomery ECC implementation using homogenous projection achieves the highest performance level,since it scored the shortest time delay for ECC *** addition,results showed thatNAF algorithm consumes less time to perform encryption and scalar multiplication operations in comparison withMontgomery ladder and *** multi-threading technique was adopted to implement ECC computations in *** proposed multithreaded Montgomery ECC implementation significantly improves the performance level compared to previously presented parallel and sequential implementations.

关键词： elliptic curve cryptosystem parallel software implementation multi-threading scalar multiplication algorithms modular arithmetic

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Efficient Dynamic Threshold Group Signature Scheme Based on elliptic curve cryptosystem

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Journal of Southwest Jiaotong University(English Edition) 2008年第1期16卷 18-23页

作者：夏祥胜洪帆耿永军崔国华 School of Computer Science and Technology Huazhong University of Science and Technology

The short secret key characteristic of elliptic curve cryptosystem （ECC） are integrated with the （ t, n ） threshold method to create a practical threshold group signature scheme characterized by simultaneous signing. The scheme not only meets the requirements of anonymity and traceability of group signature but also can withstand Tseng and Wang＇s conspiracy attack. It allows the group manager to add new members and delete old members according to actual application, while the system parameters have a little change. Cryptanalysis result shows that the scheme is efficient and secure.

关键词： elliptic curve cryptosystem Group signature Threshold scheme Dynamic threshold group signature

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Secure and Efficient Digital Rights Management Mechanisms with Privacy Protection

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Journal of Shanghai Jiaotong university(Science) 2014年第4期19卷 443-447页

作者：黄政嘉卢佩君庄文胜范俊逸林政扬林俊宏 Department of Computer Science and Engineering National Sun Yat-sen University Department of Information Management National Kaohsiung First University of Science and Technology

In the Internet or cloud computing environments, service providers provide more and more content services. Users can use these convenient content services in daily life. The major data of the user are maintained by the service providers except that some personal privacy data are stored at the client device. An attacker may try to invade the systems, and it will cause the damage of users and service providers. Also, users may lose their mobile devices and then it may cause the data disclosure problem. As a result, the data and privacy protection of users become an important issue in these environments. Besides, since many mobile devices are used in these environments, secure authentication and data protection methods must be efficient in these low resource environments. In this paper, we propose an efficient and privacy protection digital rights management(DRM)scheme that users can verify the valid service servers and the service servers can ensure the legal users. Since the key delegation center of the third party has the robust security protection, our proposed scheme stores the encrypted secret keys in the key delegation center. This approach not only can reduce the storage space of the user devices, but also can recover the encrypted secret keys in the key delegation center when a user loses her/his devices for solving the device losing problem.

关键词： identity authentication elliptic curve cryptosystem privacy protection digital rights management(DRM)

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Efficient Scalar Multiplication for elliptic curves over Binary Fields

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Wuhan University Journal of Natural Sciences 2008年第6期13卷 717-720页

作者： GU Haihua GU Dawu LIU Ya School of Electronic lnforamation and Electrical Engineering Shanghai Jiao Tong University Shanghai 200240 China

Scalar multiplication [n]P is the kernel and the most time-consuming operation in elliptic curve cryptosystems. In order to improve scalar multiplication, in this paper, we propose a tripling algorithm using Lopez and Dahab projective coordinates, in which there are 3 field multiplications and 3 field squarings less than that in the Jacobian projective tripling algorithm. Furthermore, we map P to（φε^-1（P）, and compute [n]（φε^-1（P） on elliptic curve Eε, which is faster than computing [n]P on E, where φε is an isomorphism. Finally we calculate （φε（[n]φε^-1（P）） = [n]P. Combined with our efficient point tripling formula, this method leads scalar multiplication using double bases to achieve about 23% improvement, compared with Jacobian projective coordinates.

关键词： elliptic curve cryptosystem scalar multiplication double-base number system projective coordinates

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A New Forward-Secure Signature Scheme

A New Forward-Secure Signature Scheme

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第二十七届中国控制会议

作者： Liu Yali 1,2,Yin Xinchun 1,Song Chunlai 1,Zhang Hailing 1 1.Yangzhou University,College of information and engineering,Yangzhou,225009,P.R.China 2.Xuzhou Normal University,College of computer science and technology,Xuzhou,221116,P.R.China

elliptic curve cryptosystem is an efficient public key *** the bilinear pairing such as the Weil pairing or the Tate pairing on elliptic curves and elliptic curves have been found various applications in *** security makes sure of the validity of signature for former phases if the private key in the signature is leaked out at some period of *** the application of forward security,the paper proposes a new forward-secure signature scheme based on elliptic curve cryptosystem by using the bilinear property of Weil Pairing defined on elliptic *** security of the proposed scheme is based on the elliptic curve discrete logarithm problem of non-supersingular elliptic curve over finite field which has no efficient attack method up to now.

关键词： elliptic curve cryptosystem Bilinear pairings Forward-secure elliptic curve discrete logarithm

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