Certificateless multi-receiver signcryption method with multivariate-based cryptosystem
A multi-receiver, multi-variable technology, applied in the field of information security, can solve problems such as poor security, and achieve the effects of high security, high security, and small amount of calculation
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[0027] Symbolic descriptions of variables and operations in the examples.
[0028]
[0029]
[0030] For the actual broadcast communication environment, this example implements a multi-variable non-certificate multi-receiver signcryption method, which is implemented according to the following steps:
[0031] Step 1. Generate system parameters.
[0032] 1) The Key Generator Center (hereinafter referred to as KGC) selects the secret positive integer parameter s, and KGC generates a large prime number p and a positive integer l;
[0033] 2) Choose a finite field G with order q, where q=p l ;
[0034] 3) Order G n is the n times expansion of the finite field G;
[0035] 4) Let the positive integer g be the number of equations in the multivariate equation system;
[0036] 5) Select H 1 :G×G×G n →G n , H 2 :G→G n A cryptographically secure collision-resistant one-way irreversible hash function. The system parameters are {G, l, g, n, q, p, H 1 ,H 2}.
[0037] Step...
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