SM2 digital signature method supporting batch verification and medium
A technology for digital signature and signature verification, applied in the field of information security, can solve the problem of not supporting batch verification SM2 digital signature scheme
Inactive Publication Date: 2021-03-12
WUHAN UNIV
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[0003] With the continuous development of digital signatures, the State Cryptography Administration released the SM2 elliptic curve digital signature algorithm on December 17, 2010. It has the advantages of high security, small storage space and fast signature speed, and is widely used in various fields. , but currently there is no SM2 digital signature scheme that supports batch verification
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[0064] 1. First, the symbols and definitions involved in the present invention are introduced.
[0065] n: n is a prime number and n>2 256 .
[0066] mod n: modulo n operation.
[0067] A collection of integers consisting of integers 1,2,...,n-1.
[0068] A i : The signer is the i-th user.
[0069] V: Verifier.
[0070] x i : private key of user i, and
[0071] E: An elliptic curve defined by elements a and b over a finite field.
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Abstract
The invention belongs to the technical field of information security, and particularly relates to an SM2 digital signature method supporting batch verification and a medium. Batch verification is a special digital signature algorithm verification method, allows a verifier to verify a plurality of signatures at a time, can effectively improve the verification efficiency of digital signatures, and is widely applied to the fields of Internet of Vehicles, intelligent medical systems and the like. An SM2 digital signature algorithm is high in security, small in storage space and high in signature speed, but no SM2 digital signature scheme supporting batch verification exists at present. Ri needs to be recovered in the verification process of an original SM2 digital signature algorithm, Ri serves as a part of signatures, the calculated amount of batch verification is effectively reduced, and the method has the advantages of being high in safety, easy to implement and efficient in verification.
Description
technical field [0001] The invention belongs to the technical field of information security, and in particular relates to an SM2 digital signature method and medium supporting batch verification. Background technique [0002] Digital signature is one of the cryptographic technologies to ensure network security, which can guarantee the integrity, authenticity and non-repudiation of data. In order to realize efficient verification of digital signatures, Naccache et al. proposed the concept of batch verification. Batch verification can verify multiple signatures at one time under the premise of ensuring a high accuracy rate, which greatly improves the verification efficiency. The principle is to use the isomorphism of the group to find the same item and simplify the operation, thereby reducing the time required for verification. Due to its safety and efficiency, batch verification has been widely used in the fields of Internet of Vehicles and intelligent medical systems, and ...
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IPC IPC(8): H04L9/32H04L9/30
CPCH04L9/3066H04L9/3252
Inventor 何德彪杨伊张韵茹李莉罗敏
Owner WUHAN UNIV
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