Design of Hyper Elliptic Curve System Digital Signature in Identity
Authentication Li-feng Wei · 2017
ABSTRACT Aiming at characteristics of rigorous identity authentication for both two trading parties in network transactions and based on analysis and study on Hyper Elliptic Curve (HEC) an d ElGamal based on discrete logarithm problem, these two approaches were combined organically to design a digital signa ture system based on HEC-ElGamal. It was applied in the identity authentication to provide bipolar signature verification. The security performance of this approach was also analyzed. This system of digital signature inherits security t echnology of two systems, so th at it can reach high security index. It provides guarantee for integrity check and identity authentication. Keywords: hyper elliptic curve; ElGamal; identity authentication; digital signature 1. INTRODUCTION With the development of information technologies and network technologies, network communication has been all over the production and living areas. A variety of traditional business was moved to the Internet, such as information dissemination, online bidding, online negotiations and electronic commerce, these businesses have high requirements on network security, in addition to ensuring the confidentiality of communication data, it should also effectively prevent counterfeiting and tampering, which will use identity authentication [1, 2]. Identity authentication can not only verify identity of signer, it can but also indicate the authority of sendi ng file, test file integrity an d has not been altered. Aimin g at characteristics of rigorous identity authentication for both two trading parties in network transactions and based on analysis and study on Hyper Elliptic Curve (HEC) and ElGama l based on discrete logarithm problem [3, 4], these two approaches were combined organically to design a digital signature system based on HEC-ElGamal. It was applied in the identity authentication to provide bipolar signature verification. The security performance of this approach was also analyzed. This system of digital signature inherits security t echnology of two systems, so th at it can reach high security index. It provides guarantee for integrity check and identity authentication. The specific arrangement of the paper is as follows: Section 2 introduces Hyper Elliptic Curve (HEC) cryptosystem and ElGamal signature system; Section 3 proposes digital signature method based on HEC-ElGamal system and the security performance analysis is also provided; Section 4 concludes our work.