A signature authentication method and system based on elliptic curve

Abstract

The invention belongs to the technical field of body area network node authentication and provides a method and a system for signature authentication based on an elliptical curve. The method comprises the following steps of initializing authentication parameters based on the elliptical curve; at a node A, randomly selecting (formula) as a private key, computing a public key QA=Dap=(QAx, QAy), storing the private key and publishing the public key (G1, G2, H, P, QA); at the node A, randomly selecting two integers m, wherein r belongs to ZP, and computing a signature value sigma' in an offline state; at the node A, recovering state information m and r and computing an online signature value r' of a message M; generating a complete signature sigmaM of the message M according to the signature value sigma' in the offline state and the online signature value r' of the message M which are obtained by computation, and sending the generated complete signature sigmaM of the message M to a node B; and at the node B, carrying out effective authentication of the signature on the complete signature sigmaM sent by the node A. according to the method and the system, the signature authentication based on the elliptical curve is realized, and the calculated quantity for signature and verification is effectively reduced and the signature verification speed is improved.

Description

technical field [0001] The invention relates to the technical field of body area network node authentication, in particular to an elliptic curve-based signature authentication method and system. Background technique [0002] WBAN is a human-centered network composed of sensors placed on the surface of the human body or implanted inside the human body and some mobile terminals. With the in-depth research on wireless body area network, more and more people pay attention to the security of wireless body area network. Identity authentication plays a special role in information security, and in most cases it is combined with methods such as key negotiation. It is proposed as a large overall information protection scheme. Identity authentication is a general term for identification and authentication, and it is used to verify whether the user has the right to use and store the requested resources, that is, the process of verifying and checking the user's identity. The most criti...

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Problems solved by technology

[0007] (2) In the calculation of traditional signature values, there are not only multiplication and addition operations, but also inversion operations. For large integers, inversion is a time-consuming operation, and inversion operations greatly improve the entire signature algorithm. time-consuming

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