This part of GM/T 0003 specifies the digital signature algorithm of public key cryptographic algorithm SM2 based on elliptic curves, including generation and verification algorithm of digital signature, and gives examples of digital signature and verification and their corresponding processes.
This part is applicable to digital signature and verification in commercial cryptographic application and can satisfy security requirements of identity authentication and data integrity & authenticity in multiple cryptographic applications. Meanwhile, this part also can provide standard setting and standardization reference with regard to products and technologies for security product manufacturers, and improve the credibility and interoperability of security products.
2 Normative References
The following referenced documents are indispensable for the application of this document. For dated reference, only the edition cited applies. For undated reference, the latest edition of the referenced document (including any amendments) applies.
GM/T 0003.1-2012 Public Key Cryptographic Algorithm SM2 based on Elliptic Curves - Part 1: General
3 Terms and Definitions
For the purposes of this document, the following terms and definitions apply.
3.1
message
a bit string with any finite length
3.2
signed message
a set of data items consisting of message and its signature part
3.3
signature key
Foreword i 1 Scope 2 Normative References 3 Terms and Definitions 4 Symbols 5 Digital Signature Algorithm 5.1 General 5.2 Elliptic Curve System Parameters 5.3 User Key Pair 5.4 Auxiliary Functions 5.4.1 General 5.4.2 Cryptographic Hash Function 5.4.3 Random Number Generator 5.5 Other Information on the User 6 Generation Algorithm and Process of Digital Signature 6.1 Generation Algorithm of Digital Signature 6.2 Generation Algorithm and Process of Digital Signature 7 Verification Algorithm and Process of Digital Signature 7.1 Verification Algorithm of Digital Signature 7.2 Verification Algorithm and Process of Digital Signature Annex A (Informative) Digital Signature and Verification Example A.1 General Requirements A.2 Digital Signature of Elliptic Curve over FQ A.3 Digital Signature of Elliptic Curve over
Standard
GM/T 0003.2-2012 Public Key Cryptographic Algorithm SM2 Baded on Elliptic Curves - Part 2: Digital Signature Algorithm (English Version)
Standard No.
GM/T 0003.2-2012
Status
valid
Language
English
File Format
PDF
Word Count
8500 words
Price(USD)
140.0
Implemented on
2012-3-21
Delivery
via email in 1 business day
Detail of GM/T 0003.2-2012
Standard No.
GM/T 0003.2-2012
English Name
Public Key Cryptographic Algorithm SM2 Baded on Elliptic Curves - Part 2: Digital Signature Algorithm
1 Scope
This part of GM/T 0003 specifies the digital signature algorithm of public key cryptographic algorithm SM2 based on elliptic curves, including generation and verification algorithm of digital signature, and gives examples of digital signature and verification and their corresponding processes.
This part is applicable to digital signature and verification in commercial cryptographic application and can satisfy security requirements of identity authentication and data integrity & authenticity in multiple cryptographic applications. Meanwhile, this part also can provide standard setting and standardization reference with regard to products and technologies for security product manufacturers, and improve the credibility and interoperability of security products.
2 Normative References
The following referenced documents are indispensable for the application of this document. For dated reference, only the edition cited applies. For undated reference, the latest edition of the referenced document (including any amendments) applies.
GM/T 0003.1-2012 Public Key Cryptographic Algorithm SM2 based on Elliptic Curves - Part 1: General
3 Terms and Definitions
For the purposes of this document, the following terms and definitions apply.
3.1
message
a bit string with any finite length
3.2
signed message
a set of data items consisting of message and its signature part
3.3
signature key
Contents of GM/T 0003.2-2012
Foreword i
1 Scope
2 Normative References
3 Terms and Definitions
4 Symbols
5 Digital Signature Algorithm
5.1 General
5.2 Elliptic Curve System Parameters
5.3 User Key Pair
5.4 Auxiliary Functions
5.4.1 General
5.4.2 Cryptographic Hash Function
5.4.3 Random Number Generator
5.5 Other Information on the User
6 Generation Algorithm and Process of Digital Signature
6.1 Generation Algorithm of Digital Signature
6.2 Generation Algorithm and Process of Digital Signature
7 Verification Algorithm and Process of Digital Signature
7.1 Verification Algorithm of Digital Signature
7.2 Verification Algorithm and Process of Digital Signature
Annex A (Informative) Digital Signature and Verification Example
A.1 General Requirements
A.2 Digital Signature of Elliptic Curve over FQ
A.3 Digital Signature of Elliptic Curve over
