Certificateless security signature method based on SM2 algorithm

Abstract

A certificateless security signature method based on an SM2 algorithm belongs to the application field of public key cryptography. The method is used to solve the problem on how to generate private keys of N (N>=2) users in a certificateless public key cryptography system without bilinear pairing operation on an elliptic curve and complete SM2 signature of one message through the N users. In the invention, each user cannot acquire the private key information of other users, a user subset containing less than N users cannot generate a complete digital signature, and the security of signature is fully ensured. Attackers cannot forge a valid signature without stealing all the N private keys. The security signature process is simple. The computation efficiency is high. The signature result accords with the standard of the national cipher SM2 signature algorithm.

Description

technical field [0001] The invention belongs to the field of public key cryptography, and in particular relates to a secure signature method of a certificateless authentication system based on the national secret SM2 algorithm. Background technique [0002] Public key cryptography has been widely used in today's highly developed computer technology and network technology. Digital signature technology and public key encryption technology have penetrated into people's daily life. In order to ensure the uniqueness of the digital signature and the security of the signature private key, usually the private key owner saves the signature private key in the cryptographic device, and the signature operation is also executed in the cryptographic device. The cryptographic device used is usually a cryptographic machine on the server side, and a USBKEY with a CPU and an IC card on the client side. In environments such as cloud computing and mobile terminals, it is inconvenient to use t...

AI Technical Summary

Problems solved by technology

For the national secret SM2 signature algorithm, due to the particularity of its algorithm, it is difficult to realize key sharing and joint signature

In addition, for a certificateless public key cryptosystem with unequal pair operation (see patent application number 201410772127.5), it is more difficult for multiple parties to jointly complete the signature based on the SM2 algorithm, and no method to solve this application requirement has been found yet

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