This part of GM/T 0003 specifies the curve parameters of the public key cryptographic algorithm SM2 based on elliptic curves, and gives the examples of digital signature and verification, key exchange and verification, and message encryption and decryption.
2 Parameter Definition
SM2 uses the elliptic curve with a 256-bit prime field.
Foreword i 1 Scope 2 Parameter Definition Annex A (Informative) Examples of Digital Signature and Verification A.1 General Requirements A.2 SM2 Elliptic Curve Digital Signature Annex B (Informative) Examples of Key Exchange and Verification B.1 General Requirements B.2 SM2 Elliptic Curve Key Exchange Protocol Annex C (Informative) Examples of Message Encryption and Decryption C.1 General Requirements C.2 SM2 Elliptic Curve Message Encryption and Decryption
Standard
GM/T 0003.5-2012 Public Key Cryptographic Algorithm SM2 Baded on Elliptic Curves - Part 5: Parameter Definition (English Version)
Standard No.
GM/T 0003.5-2012
Status
valid
Language
English
File Format
PDF
Word Count
7500 words
Price(USD)
140.0
Implemented on
2012-3-21
Delivery
via email in 1 business day
Detail of GM/T 0003.5-2012
Standard No.
GM/T 0003.5-2012
English Name
Public Key Cryptographic Algorithm SM2 Baded on Elliptic Curves - Part 5: Parameter Definition
1 Scope
This part of GM/T 0003 specifies the curve parameters of the public key cryptographic algorithm SM2 based on elliptic curves, and gives the examples of digital signature and verification, key exchange and verification, and message encryption and decryption.
2 Parameter Definition
SM2 uses the elliptic curve with a 256-bit prime field.
Elliptic curve equation: y2=x2+ax+b
Curve parameters:
p=FFFFFFFE FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF 00000000 FFFFFFFF FFFFFFFF
a=FFFFFFFE FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF 00000000 FFFFFFFF FFFFFFFC
b=28E9FA9E 9D9F5E34 4D5A9E4B CF6509A7 F39789F5 15AB8F92 DDBCBD41 4D940E93
n=FFFFFFFE FFFFFFFF FFFFFFFF FFFFFFFF 7203DF6B 21C6052B 53BBF409 39D54123
xG=32C4AE2C 1F198119 5F990446 6A39C994 8FE30BBF F2660BE1 715A4589 334C74C7
yG=BC3736A2 F4F6779C 59BDCEE3 6B692153 D0A9877C C62A4740 02DF32E5 2139F0A0
Contents of GM/T 0003.5-2012
Foreword i
1 Scope
2 Parameter Definition
Annex A (Informative) Examples of Digital Signature and Verification
A.1 General Requirements
A.2 SM2 Elliptic Curve Digital Signature
Annex B (Informative) Examples of Key Exchange and Verification
B.1 General Requirements
B.2 SM2 Elliptic Curve Key Exchange Protocol
Annex C (Informative) Examples of Message Encryption and Decryption
C.1 General Requirements
C.2 SM2 Elliptic Curve Message Encryption and Decryption
