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The Research and Implementation of Digital Signature Based on Elliptic Curve

Author: MaZhe
Tutor: CaiGuangXing
School: Hubei University of Technology
Course: Applied Computer Technology
Keywords: Digital Signature Elliptic Curve ECDSA Java Development
CLC: TN918.1
Type: Master's thesis
Year: 2012
Downloads: 107
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Abstract


With the rapid development of computer network technology and informationtechnology’s self-update, it makes the increasingly high degree of attention toinformation security. Digital signature technology has been achieved through thenetwork environment, with a high degree of safety. It also has the function to ensureinformation’s integrity and authentication of the sender identity. What’s more, it canavoid the repudiation and denial of the transaction. The elliptic curve cryptosystem(ECC) is a Multivariate Public Key Cryptosystems which is based on the computationalintractability of the Elliptic Curve Discrete Logarithm Problem (ECDLP). EllipticCurve Digital Signature Algorithm (ECDSA) is the signing algorithm which isimplemented with the form of a high degree of safety and high efficiency in the ellipticcurve cryptosystem. So Elliptic Curve Digital Signature Algorithm (ECDSA) iscurrently very popular.Firstly, the article focuses on the research and introduction on the basic knowledgeof mathematics of cryptography; then in-depth study of the principle of the digitalsignature as well as specific process to chieve. Still is analyzed its security; It focuses onthe basic theory of elliptic curves over finite fields and makes the focus of the ellipticcurve on point addition and point multiplication; Elliptic curve cryptosystem (ECC) hasa high degree of security, key length is shorter, and consume fewer resources and otherfeatures, but the elliptic curve calculation theory is more complicated so that bringssome difficulties to ECDSA signature software. This article studies deeply the analysisof elliptic curve algorithms to ensure the efficient implementation of this signaturesoftware.This article uses the MyEclipse development tools on the Java platform optimizedwhich is based on the SHA-512digital signature software.Through the system to run thetest, the software efficiently and safely achieve a document signing process and theverification process, and with a higher degree of safety and higher operatingefficiency than the previous ECDSA signature software.

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CLC: > Industrial Technology > Radio electronics, telecommunications technology > Communicate > Confidentiality of communications and communications security > Theory
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