Certificate-free signature method based on national secret SM2
A certificate-free, state-secret technology, applied in the field of information security, can solve problems such as inability to protect keys and poor security protection capabilities of mobile terminals, and achieve the effect of improving fairness and ensuring security.
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[0034] In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below in conjunction with the examples.
[0035] The present invention proposes a certificateless signature method based on a national secret algorithm, and a specific description is given below.
[0036] Symbols and definitions
[0037]
[0038]
[0039] implementation steps such as Figure 1-Figure 4 Shown:
[0040] 1. System establishment: input security parameter k, KGC (Key Generation Center) selects a large prime number p and elliptic curve: E p (a,b):y 2 =x 3 +ax+b(mod p), where a, b, x and y are all in the finite field GF p Medium, and satisfy: 4a 3 +27b 2 (mod p)≠0. in E p In (a,b), select generator point P. define G 1 is generated by P in E p The additive cyclic group on (a, b), the order is a prime number n that meets the security requirements, and the SM3 cryptographic hash algorithm used...
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