GB/T 32918.5-2017Information security technology—Public key cryptographic algorithm SM2 based on elliptic curves—Part 5: Parameter definition (English PDF)
信息安全技术 SM2椭圆曲线公钥密码算法 第5部分：参数定义
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Issued by
SAMR; SAC
Level / Type
National · Recommended
Issue date
May 12, 2017
Implementation date
December 1, 2017
Scope
GB/T 32918.5-2017 is the English-translated version of 信息安全技术 SM2椭圆曲线公钥密码算法 第5部分：参数定义.
GB/T 32918.5-2017 is the Chinese standard "Information security technology—Public key cryptographic algorithm SM2 based on elliptic curves—Part 5: Parameter definition".
Its scope clause reads: This Part of GB/T 32918 specifies the curve parameters of public key cryptographic algorithm SM2 based on elliptic curves. This Part applies to digital signature and verification (SEE Appendix A), key exchange and verification (SEE Appendix B), and example of message encryption and decryption (SEE Appendix C). Its clauses include symbols.
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Document preview — GB/T 32918.5-2017
National Standard of the People's Republic of China
- ICS
- 35.040
- Classification
- L 80
Issued by: State Administration for Market Regulation; Standardization Administration of the PRC
Contents
- Foreword3
- Introduction4
- 1 Scope6
- 2 Normative references6
- 3 Symbols6
- 4 Parameter definition7
- Appendix A (Informative) Example of digital signature and verification8
- Appendix B (Informative) Example of key exchange and verification10
- Appendix C (Informative) Example of message encryption and decryption14
- References16
1 Scope
This Part of GB/T 32918 specifies the curve parameters of public key cryptographic algorithm SM2 based on elliptic curves.
This Part applies to digital signature and verification (SEE Appendix A), key exchange and verification (SEE Appendix B), and example of message encryption and decryption (SEE Appendix C).
2 Normative references
The following documents are indispensable for the application of this document.
For the dated references, only the versions with the dates indicated are applicable to this document. For the undated references, the latest version (including all the amendments) are applicable to this document.
GB/T 32905-2016 Information security techniques - SM3 cryptographic hash algorithm
GB/T 32918.1-2016 Information security technology - Public key cryptographic algorithm SM2 based on elliptic curves - Part 1. General
GB/T 32918.2-2016 Information security technology - Public key cryptographic algorithm SM2 based on elliptic curves - Part 2. Digital signature algorithm
GB/T 32918.3-2016 Information security technology - Public key cryptographic algorithm SM2 based on elliptic curves - Part 3. Key exchange protocol
GB/T 32918.4-2016 Information security technology - Public key cryptographic algorithm SM2 based on elliptic curves - Part 4. Public key encryption algorithm
3 Symbols
Appendix A (Informative)
Example of digital signature and verification
A.1 Overview
This appendix selects the cryptographic hash algorithm given in GB/T 32905-
2016. The input is a message bit string of length less than 264. The output is a hash value of 256 bits in length, which is recorded as H256().
This appendix uses the digital signature algorithm specified in GB/T 32918.2-
2016 to calculate the corresponding values in each step.
In this appendix, all numbers, expressed in hexadecimal form, are high on the left and low on the right.
In this appendix, the message uses the code in GB/T 1988.
Assume that the GB/T 1988 code of IDA is. 31323334 35363738 31323334
35363738. ENTLA=0080.
A.2 Digital signature SM2 based on elliptic curves
Elliptic curve equation is. y2=x3+ax+b
Example 1. Fp-256
Base point G= (xG, yG). Its order is recorded as n.
Prime number p
Factor a
Factor b
Coordinate xG
Coordinate yG
Order n
Message M to be signed
The hexadecimal representation of the GB/T 1988 code of M
Private key dA
Public key
Coordinate xA
Coordinate yA
Hash value
Appendix B (Informative)
Example of key exchange and verification
B.1 General requirements
This appendix selects the cryptographic hash algorithm given in GB/T 32905-
2016. The input is a message bit string of length less than 264. The output is a hash value of 256 bits in length, which is recorded as H256().
This appendix uses the key exchange protocol specified in GB/T 32918.3-2016 to calculate the corresponding values in each step.
In this appendix, all numbers, expressed in hexadecimal form, are high on the left and low on the right.
Assume that the GB/T 1988 code of IDA is. 31323334 35363738 31323334
35363738. ENTLA=0080.
Assume that the GB/T 1988 code of IDB is. 31323334 35363738 31323334
35363738. ENTLB=0080.
B.2 Key exchange protocol SM2 based on elliptic curves
Elliptic curve equation is. y2=x3+ax+b
Example 1. Fp-256
Cofactor h. 1
Base point G= (xG, yG). Its order is recorded as n.
Prime number p
Factor a
Factor b
Coordinate xG
Coordinate yG
Order n
User A’s private key dA
User A’s public key
Coordinate xA […]
......
This preview omits tables, figures, formulas and parts of the technical clauses. The complete document — 16 pages — is available in the English PDF.
Referenced standards
Normative references
- GB/T 32905-2016Information security techniques - SM3 cryptographic hash algorithm
- GB/T 32918.1-2016Information security technology - Public key cryptographic algorithm SM2 based on elliptic curves - Part 1: General
- GB/T 32918.2-2016Information security technology—Public key cryptographic algorithm SM2 based on elliptic curves—Part 2: Digital signature algorithm
- GB/T 32918.3-2016Information security technology - Public key cryptographic algorithm SM2 based on elliptic curves - Part 3: Key exchange protocol
- GB/T 32918.4-2016Information security technology—Public key cryptographic algorithm SM2 based on elliptic curves—Part 4: Public key encryption algorithm
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Related Standards
GB/T 32905-2016 — Information security techniques - SM3 cryptographic hash algorithm
GB/T 32918.1-2016 — Information security technology - Public key cryptographic algorithm SM2 based on elliptic curves - Part 1: General
GB/T 32918.2-2016 — Information security technology—Public key cryptographic algorithm SM2 based on elliptic curves—Part 2: Digital signature algorithm
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