CN113708927B - General assignment verifier signature proving system based on SM2 digital signature - Google Patents
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/08—Key distribution or management, e.g. generation, sharing or updating, of cryptographic keys or passwords
- H04L9/0816—Key establishment, i.e. cryptographic processes or cryptographic protocols whereby a shared secret becomes available to two or more parties, for subsequent use
- H04L9/0819—Key transport or distribution, i.e. key establishment techniques where one party creates or otherwise obtains a secret value, and securely transfers it to the other(s)
- H04L9/0825—Key transport or distribution, i.e. key establishment techniques where one party creates or otherwise obtains a secret value, and securely transfers it to the other(s) using asymmetric-key encryption or public key infrastructure [PKI], e.g. key signature or public key certificates
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/32—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials
- H04L9/3236—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials using cryptographic hash functions
- H04L9/3239—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials using cryptographic hash functions involving non-keyed hash functions, e.g. modification detection codes [MDCs], MD5, SHA or RIPEMD
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- H—ELECTRICITY
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- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/32—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials
- H04L9/3247—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials involving digital signatures
- H04L9/3252—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols including means for verifying the identity or authority of a user of the system or for message authentication, e.g. authorization, entity authentication, data integrity or data verification, non-repudiation, key authentication or verification of credentials involving digital signatures using DSA or related signature schemes, e.g. elliptic based signatures, ElGamal or Schnorr schemes
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/50—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols using hash chains, e.g. blockchains or hash trees
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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- Y02D—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
- Y02D30/00—Reducing energy consumption in communication networks
- Y02D30/50—Reducing energy consumption in communication networks in wire-line communication networks, e.g. low power modes or reduced link rate
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Abstract
The invention relates to a general assignment verifier signature certification system based on SM2 digital signature, which comprises four units of an administrator, a signer, a signature owner and an assignment verifier; the system administrator is used for calling an initialization Setup algorithm to determine system parameters and sharing the system parameters to other units; the signer is used for calling the KGen algorithm to generate a public key and a private key, and calling the Sign algorithm by using the private key to calculate the signature of the message; the signature owner for obtaining a message from a signer
Signature
Firstly, calling verification algorithm Verf to verify message
Signature
And then the conversion algorithm Tran is called to obtain the conversion signature
Conversion key
The method comprises the steps of carrying out a first treatment on the surface of the The specified verifier is used for executing IVerf protocol. The invention can meet the security of self-adaptive selective attack non-counterfeitability (UF-CMA) and anti-impersonation attack (R-IM), and effectively improve the computing efficiency of UDVSP.
Description
Technical Field
The invention belongs to the technical field of information security, and particularly relates to a signature proving system of a general assignment verifier based on SM2 digital signature.
Background
The UDVSP is widely used for privacy protection in the fields of medical data, electronic voting, anonymous certificates, electronic revenue summarization, etc., taking the medical field as an example, it is assumed that the signature owner (patient Alice) obtains a new electronic medical record from the signer (doctor D1), alice can let the designated verifier (doctor D2) trust the content of the electronic medical record without providing the signature of the electronic medical record, and doctor D2 cannot let others trust the content of the electronic medical record.
Disclosure of Invention
In view of the above, the present invention aims to provide a general-purpose verifier signature proving system based on SM2 digital signature, which solves the problem that the existing UDVSP schemes based on BLS signature and BBS signature involve high-time-consuming calculation of a global hash function of bilinear pair operation, resulting in lower efficiency of the schemes.
In order to achieve the above purpose, the invention adopts the following technical scheme:
a general assignment verifier signature certification system based on SM2 digital signature, comprising four units of an administrator, a signer, a signature owner and an assignment verifier;
the system administrator is used for calling an initialization Setup algorithm to determine system parameters and sharing the system parameters to other units;
the signer is used for calling the KGen algorithm to generate a public key and a private key, and calling the Sign algorithm by using the private key to calculate the signature of the message
The signature owner is used for obtaining the message m and the signature sigma from the signer, firstly invoking a verification algorithm Verf to verify the validity of the message m and the signature sigma, and then invoking a conversion algorithm Tran to obtain a conversion signature
And a conversion key tk;
the specified verifier is used for executing IVerf protocol.
Further, the initialization Setup algorithm specifically includes: the algorithm inputs the safety parameter lambda, randomly selects large prime numbers q, and determines a nonsingular elliptic curve E:y 2 ＝x 3 +ax+b (mod q), wherein,
selecting a prime number n-order cyclic group from E all points including an infinity point)
Generating meta->
Selecting a secure hash function
Algorithm output system parameters
Further, the KGen algorithm specifically includes: the algorithm inputs the system parameter pp, randomly selects
Calculating p=dg, algorithm outputThe private key sk=d and the public key pk=p of the user.
Further, the Sign algorithm specifically includes: the algorithm inputs the system parameter pp, the user private key sk=d and the message m. Randomly select
Calculate k=kp= (x K ，y K )、
And r= (e+x) K ) (mod n); if r=0 or r+k=n, then re-choose k for recalculation, otherwise calculate s= (1+d) -1 (k-rd) (mod n). If s+.0, then the message m and signature σ= (r, s) are output.
Further, the Verify algorithm specifically includes: the algorithm inputs the system parameters pp, the user public key pk=p, the message m and the signature to be verified σ= (r, s), if
Then 0 is output, otherwise t=r+s (mod n) is calculated. If t=0, then output 0, otherwise calculate +.>
K′＝sG+tP＝(x′ K ，y′ K ) And r ' = (e ' +x ' K ) (mod n); if r' =r, then output 1 indicates that the signature is valid, otherwise output 0 indicates that it is invalid.
Further, the Tran algorithm specifically includes: the algorithm inputs the system parameters pp, the public key pk=p, the message m and the signature σ= (r, s) and randomly selects
And calculate +.>
Output conversion signature +.>
And a conversion key tk= (a, b).
Further, the IVerf protocol, specifically, the signature owner P performs the following interactions with the specified verifier V:
1) P first k=sg+ (r+s) P is calculated and then randomly selected
Calculating d=r+αg+αp+βp; finally, P sends D to V;
2) V random selection
And returns c to P;
3) P calculation Z K ＝R-cK，z a ＝α-c·a(mod n)，z b =β -c·b (mod n), and will (Z K ，z a ，z b ) Sending to V;
4) V calculation
If D' =d, then output 1 indicates acceptance, otherwise output 0.
Compared with the prior art, the invention has the following beneficial effects:
the invention not only can meet the security of self-adaptive selection attack non-counterfeitability (UF-CMA) and anti-impersonation attack (R-IM), but also avoids the double-linear pair operation and the global hash function calculation with high time consumption, effectively improves the security, reduces the operation time and improves the efficiency.
Drawings
FIG. 1 is a block diagram of a system architecture in an embodiment of the invention.
Detailed Description
The invention will be further described with reference to the accompanying drawings and examples.
Referring to fig. 1, the present invention provides a general assignment verifier signature verification system based on SM2 digital signature, which includes four units of administrator, signer, signature owner and assignment verifier;
the system administrator is used for calling an initialization Setup algorithm to determine system parameters and sharing the system parameters to other units;
the signer is used for calling the KGen algorithm to generate a public key and a private key, and calling the Sign algorithm by using the private key to calculate the signature of the message
The signature owner is used for obtaining the message m and the signature sigma from the signer, firstly invoking a verification algorithm Verf to verify the validity of the message m and the signature sigma, and then invoking a conversion algorithm Tran to obtain a conversion signature
And a conversion key tk;
the specified verifier is used for executing IVerf protocol.
The invention is designed based on SM2 digital signature, so the same system parameters are used with SM2, and specific parameter symbols are defined as follows:
q: a large prime number;
F q : a finite field containing q elements;
a，b：F q elements of (a) defining F q An elliptic curve E on the upper part;
E(F q )：F q a set of all rational points (including infinity point O) of the upper elliptic curve E;
#E(F q )：E(F q ) The number of upper points, called elliptic curve E (F q ) Is a step of (2);
o: a particular point on the elliptic curve, called the infinity point or zero point;
g: group of
Is a generator of (1);
n: the order of the generator G (n is #e (F q ) Element factor of (2)
in an embodiment, the Setup algorithm is initialized, specifically: the algorithm inputs a safety parameter lambda, randomly selects a large prime number q, and determines a nonsingular elliptic curve E: y is 2 ＝x 3 +ax+b (mod q), wherein,
selecting a prime number n-order cyclic group from E all points including an infinity point)
Generating meta->
Selecting a secure hash function
Algorithm output system parameters
In an embodiment, the KGen algorithm is specifically:the algorithm inputs the system parameter pp, randomly selects
Calculating p=dg, the algorithm outputs the private key sk=d and the public key pk=p of the user.
In an embodiment, the Sign algorithm is specifically: the algorithm inputs the system parameter pp, the user private key sk=d and the message m. Randomly select
Calculate k=kp= (x K ，y K )、
And r= (e+x) K ) (mod n); if r=0 or r+k=n, then re-choose k for recalculation, otherwise calculate s= (1+d) -1 (k-rd) (mod n). If s+.0, then the message m and signature σ= (r, s) are output.
In an embodiment, the Verify algorithm is specifically: the algorithm inputs the system parameters pp, the user public key pk=p, the message m and the signature to be verified σ= (r, s), if
Then 0 is output, otherwise t=r+s (mod n) is calculated. If t=0, then output 0, otherwise calculate +.>
K′＝sG+tP＝(x′ K ，y′ K ) And r ' = (e ' +x ' K ) (mod n); if r' =r, then output 1 indicates that the signature is valid, otherwise output 0 indicates that it is invalid.
In an embodiment, the Tran algorithm is specifically: the algorithm inputs the system parameters pp, the public key pk=p, the message m and the signature σ= (r, s) and randomly selects
And calculate +.>
Output conversion signature +.>
And a conversion key tk= (a, b).
In an embodiment, the IVerf protocol, in particular, the signature owner P, performs the following interactions with the specified verifier V:
1) P first k=sg+ (r+s) P is calculated and then randomly selected
Calculating d=r+αg+αp+βp; finally, P sends D to V;
2) V random selection
And returns c to P;
3) P calculation Z K ＝R-cK，z a ＝α-c·a(mod n)，z b =β -c·b (mod n), and will (Z K ，z a ，z b ) Sending to V;
4) V calculation
If D' =d, then output 1 indicates acceptance, otherwise output 0.
It will be appreciated by those skilled in the art that embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems) and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flowchart illustrations and/or block diagrams, and combinations of flows and/or blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
The above description is only a preferred embodiment of the present invention, and is not intended to limit the invention in any way, and any person skilled in the art may make modifications or alterations to the disclosed technical content to the equivalent embodiments. However, any simple modification, equivalent variation and variation of the above embodiments according to the technical substance of the present invention still fall within the protection scope of the technical solution of the present invention.
Claims (1)
1. A general assignment verifier signature certification system based on SM2 digital signature, which is characterized by comprising four units of an administrator, a signer, a signature owner and an assignment verifier;
the system administrator is used for calling an initialization Setup algorithm to determine system parameters and sharing the system parameters to other units;
the signer is used for calling the KGen algorithm to generate a public key and a private key, and calling the Sign algorithm by using the private key to calculate the signature of the message
The signature owner is used for obtaining the message m and the signature sigma from the signer, firstly invoking a verification algorithm Verf to verify the validity of the message m and the signature sigma, and then invoking a conversion algorithm Tran to obtain a conversion signature
And a conversion key tk;
the specified verifier is used for executing IVerf protocol;
the initialization Setup algorithm specifically comprises the following steps: the algorithm inputs the safety parameter lambda, randomly selects large prime numbers q, and determines a nonsingular elliptic curve E:y 2 ＝x 3 +ax+b (mod q), where a,
selecting prime nth order cyclic groups among all points E including infinity points
Generating meta->
Selecting a secure hash function
Algorithm output system parameters
The KGen algorithm specifically comprises the following steps: the algorithm inputs the system parameter pp, randomly selects
Calculating p=dg, and outputting a private key sk=d and a public key pk=p of the user by the algorithm;
the Sign algorithm specifically comprises the following steps: the algorithm inputs a system parameter pp, a user private key sk=d and a message m; randomly select
Calculate k=kp= (x K ,y K )、
And r= (e+x) K ) (mod n); if r=0 or r+k=n, then re-choose k for recalculation, otherwise calculate s= (1+d) -1 (k-rd) (mod n); if s+.0, then output message m and signature σ= (r, s);
the verification algorithm specifically comprises the following steps: the algorithm inputs the system parameters pp, the user public key pk=p, the message m and the signature to be verified σ= (r, s), if r,
then output 0, otherwise calculate t=r+s (modn); if t=0, output 0, otherwise calculate
K′＝sG+tP＝(x' K ,y' K ) And r ' = (e ' +x ' K ) (mod n); if r' =r, then output 1 indicates that the signature is valid, otherwise output 0 indicates that it is invalid;
the Tran algorithm specifically comprises the following steps: algorithm input system parameter pp, public key pk=pMessage m and signature σ= (r, s), randomly choose a,
and calculate +.>
Output conversion signature +.>
And a conversion key tk= (a, b);
the IVerf protocol, specifically, the signature owner Q performs the following interactions with the specified verifier V:
1) Q first calculates k=sg+ (r+s) P, then randomly selects a,
calculating d=r+αg+αp+βp; finally, Q sends D to V;
2) V random selection
And returning c to Q;
3) Q calculation Z K ＝R-c K ,z a ＝α-c·a(mod n),z b =β -c·b (mod n), and will (Z K ,z a ,z b ) Sending to V;
4) V calculation
If D' =d, then output 1 indicates acceptance, otherwise output 0./>
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| CN108809658A (en) * | 2018-07-20 | 2018-11-13 | 武汉大学 | A kind of digital signature method and system of the identity base based on SM2 |
| WO2021120683A1 (en) * | 2019-12-16 | 2021-06-24 | 苏宁云计算有限公司 | Method and apparatus for secure communication based on identity authentication |
| CN113055161A (en) * | 2021-03-09 | 2021-06-29 | 武汉大学 | Mobile terminal authentication method and system based on SM2 and SM9 digital signature algorithms |
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| CN108809658A (en) * | 2018-07-20 | 2018-11-13 | 武汉大学 | A kind of digital signature method and system of the identity base based on SM2 |
| WO2021120683A1 (en) * | 2019-12-16 | 2021-06-24 | 苏宁云计算有限公司 | Method and apparatus for secure communication based on identity authentication |
| CN113055161A (en) * | 2021-03-09 | 2021-06-29 | 武汉大学 | Mobile terminal authentication method and system based on SM2 and SM9 digital signature algorithms |
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