Blind Signcryption Method in Lattice Public Key Cryptosystem
A public key cryptography system and blind signature technology, applied in the field of network information security, can solve problems such as low calculation efficiency, abnormal scheme signature, unqualified, etc., and achieve the effect of improving operation efficiency, resisting quantum attacks, and high operation efficiency
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Embodiment 1
[0076] In this embodiment, the large prime number q is 2 128 For example, in figure 1 , the blind signcryption method under the lattice public key system of the present embodiment consists of the following steps:
[0077] A. System initialization
[0078] (A1) A trusted party defines a residual-like ring Z modulo q q The n-row and nk-column matrix G on, modulo q is:
[0079] q=p v
[0080] Wherein p is a large prime number, and v is a finite positive integer; in this embodiment, p is 2, and v is 128.
[0081] (A2) The trusted party defines three integers m 0 , m, m 1 Dimension to use as a matrix vector.
[0082] (A3) The trusted party defines the error rate α∈(0, 1) with error learning, and selects the Gaussian parameter
[0083]
[0084] (A4) The trusted party defines the ring R:
[0085] R=Z q [x] / f(x)
[0086] where f(x) is a polynomial. The f(x) of this embodiment is:
[0087] f(x)=x n +a n x n-1 +…+a 2 x+a 1
[0088] An irreducible polynomial whose ...
Embodiment 2
[0144] In this embodiment, the large prime number q is 2 256 For example, the blind signcryption method under the lattice public key system consists of the following steps:
[0145] A. System initialization
[0146] (A1) A trusted party defines a residual-like ring Z modulo q q The n-row and nk-column matrix G on, modulo q is:
[0147] q=p v
[0148] where p is a large prime number, and v is a finite positive integer; in this embodiment, p is 2 and v is 256.
[0149] The other steps of this step are the same as in Example 1.
[0150] Other steps are the same as in Example 1.
Embodiment 3
[0152] In this embodiment, the large prime number q is 2 512 For example, the blind signcryption method under the lattice public key system consists of the following steps:
[0153] A. System initialization
[0154] (A1) A trusted party defines a residual-like ring Z modulo q q On an n-row and nk-column matrix G, q is:
[0155] q=p v
[0156] where p is a large prime number, and v is a finite positive integer; in this embodiment, p is 2 and v is 512.
[0157] The other steps of this step are the same as in Example 1.
[0158] Other steps are the same as in Example 1.
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