The Design and Implementation of Digital Signature System Based on Elliptic Curve
The elliptic curve cryptosystems are paid more and more attention because its key string is shorter and its security is better than other public cryptosystems. The digital signature system based on elliptic curve is one of the main stream digital signatur
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The Design and Implementation of Digital Signature System Based on Elliptic Curve Bin Chen, Wenliang Wu, and Yao Zhang
Abstract The elliptic curve cryptosystems are paid more and more attention because its key string is shorter and its security is better than other public cryptosystems. The digital signature system based on elliptic curve is one of the main stream digital signature systems. The digital signature protocols based on elliptic curve discrete logarithm problem come mainly from the transmutation of signature equation and when the protocol has been optimized for implementing, the whole system will get better performance. In this paper, we present an improved digital signature scheme based on Elliptic Curve Algorithm and this scheme has features of low computational complexity and fast operating speed. Keywords Elliptic curve cryptosystems • Digital signature • Discrete logarithm
260.1
Introduction
With the rapid development of information technology and extensive application of information equipment, information security has become the key of dominating nation and society [1]. Digital signature is one of the techniques that ensure information safety. It plays an important factor in protecting integrality, unforgeability, undesirability and verifiability of the information. Meanwhile, safe and high-efficient cryptosystem is the base of information security [2]. Elliptic Curve Cryptosystem, compared with other public key cryptosystems such as RSA,
B. Chen (*) Maths Department, Zhaotong Teachers’ College, Zhaotong, China e-mail: [email protected] W. Wu • Y. Zhang Physics Department, Zhaotong Teachers’ College, Zhaotong, China e-mail: [email protected]; [email protected] S. Zhong (ed.), Proceedings of the 2012 International Conference on Cybernetics 2041 and Informatics, Lecture Notes in Electrical Engineering 163, DOI 10.1007/978-1-4614-3872-4_260, # Springer Science+Business Media New York 2013
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DSA, in attrition to its higher security, also has many other advantages, such as the less computation overheads, shorter key size, considerable bandwidth savings and so on [3]. Elliptic curve cryptography is a public key cryptosystem, which based on the intractability of discrete logarithm problem in elliptic curve point group. Elliptic curve cryptographic algorithm is a efficient and safe signature algorithm, which realize DSA by way of elliptic curve cryptography, and provides the highest encryption strength for per-bit data. In this paper, the Elliptic Curve Digital Signature Algorithm is described firstly, and then we present an improved digital signature scheme based on Elliptic Curve Algorithm and this scheme has features of low computational complexity and fast operating speed [4].
260.2
Elliptic Curve Cryptography
Elliptic Curve Cryptography (ECC) is a public key cryptography. In public key cryptography each user or the device taking part in the communication generally have a pair of keys, a public key and a private key, and a set of operations associated with the keys to do the c
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