Authenticated encryption method of public key and digital signature method
An authenticated encryption and public key technology, applied in the field of information security, can solve problems such as lack of secure encryption and encryption functions, MQ signature algorithm insecurity, etc.
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Embodiment 1
[0089] This embodiment is the implementation process of the public key authentication and encryption method provided by the present invention, and the specific steps are as follows:
[0090] (I) System establishment: standard hash function H( ) selects SHA-1, finite field parameter k=8; specifies system parameters n=20, δ=17 and μ=6; randomly selects finite field GF(2 8 ) on 20-dimensional affine bijective transformation U, 26-dimensional affine bijective transformation T and 20-dimensional reversible multivariate quadratic nonlinear transformation F, where F is expressed as:
[0091] (t 1 ..., t 20 ) = F(z 1 …,z 20 )=(f 1 (z 1 ,…,z 20 ),..., f n (z 1 …,z 20 ))
[0092] Among them, f i is a quadratic polynomial function of 20 elements, the form is as follows:
[0093] f i ( z 1 , . . . , z ...
Embodiment 2
[0106] This embodiment is the implementation process of the digital signature method provided by the present invention, which specifically includes the following steps:
[0107] (I) System establishment: standard hash function H( ) selects SHA-1, finite field parameter k=8; specifies system parameters n=31, δ=10 and μ=-5; randomly selects finite field GF(2 8 ) on 31-dimensional affine bijective transformation U, 26-dimensional affine bijective transformation T and 31-dimensional reversible multivariate quadratic nonlinear transformation F, where F is expressed as:
[0108] (t 1 ..., t 31 ) = F(z 1 …,z 31 )=(f 1 (z 1 …,z 31 ),...,f n (z 1 …,z 31 ))
[0109] Among them, f i is a quadratic polynomial function with 31 elements, the form is as follows:
[0110] f i ( z 1 , . . . , z 31 ...
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