Security outsourcing method for two bilinear pairings based on dual cloud servers
A bilinear pairing and secure outsourcing technology, applied in the field of cloud computing, can solve the problems of high computing cost, high estimated complexity, and unsatisfactory computing efficiency.
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[0049] Preferred embodiments of the present invention are described in detail as follows:
[0050] In this example, see figure 1 , a security outsourcing method for two bilinear pairings based on two servers, comprising the following steps:
[0051] Step 1: The outsourced user T calls the program Rand to generate a six-tuple, where Rand is a subroutine used to improve the calculation speed, and is used to pass the server U 1 with U 2 To realize the outsourced method M-Pair of bilinear pairing, specifically: the outsourced user T first needs to call the program Rand, input G 1 , G 2 , a bilinear pairing and other random numbers, generate and output a six-tuple {V 1 , V 2 , v 1 V 1 , v 2 V 2 , e(v 1 V 1 , v 2 V 2 )}, {V 1 , V 2 , v 1 V 1 , v 2 V 2 , e(v 1 V 1 , v 2 V 2 )} results can be pre-calculated, where v 1 , V 1 ∈RG 1 , V 2 ∈RG 2 , is a random number in the remainder class modulo q with zero elements removed, RG 1 is G 1 A random point in ...
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