Multivariable-based proxy re-signature method capable of resisting conspiracy attacks
A collusion attack and re-signature technology, applied in the field of information security, can solve the problems of collusion attack private key information leakage and so on
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[0101] Taking n=2 in the quadratic equation system, that is, the number of independent variables and the number of equations are both 2 as an example, the steps of the proxy re-signature method based on multivariable collusion attack resistance are as follows:
[0102] (1) Generation system
[0103] Select system parameters: take a finite field F 5 , that is, the field elements are {0, 1, 2, 3, 4}, and the operation is modulo 5 addition and modulo 5 multiplication. The inverse of an element o refers to an element that satisfies multiplication with o and then modulo 5 is 1. Record for o -1 , that is, at F 5 On: -5=0mod5, -4=1mod 5, -3=2mod 5, -2=3mod 5, -1=4mod5, 1 -1 =1,2 -1 =3,3 -1 =2,4 -1 =4; take n=2, that is, the number of independent variables and equations are both 2; take a 111 =0,a 112 = 1,a 122 =0,b 11 =0,b 12 =0,c 1 = 0; a 211 =0,a 212 =0,a 222 =0,b 21 =1,b 22 =0,c 2 =0, then the quadratic equation system Q is:
[0104]
[0105] The inverse Q of...
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