Safely outsourced attribute-based encryption method
An encryption method and security outsourcing technology, applied in the field of attribute-based encryption, can solve problems such as complex efficiency
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[0066] One, the applied mathematical theory of the present invention explains:
[0067] 1. Bilinear pairing
[0068] In the present invention, the bilinear pair e: G×G→G T is a mapping that satisfies bilinearity, non-degenerateness, and computability, and it maps two elements in the prime order group G to the prime order group G T an element in . For example, a Tate pair defined on a supersingular elliptic curve is a bilinear pair that satisfies the condition.
[0069] 2. Lagrange coefficient
[0070] For d-1 degree polynomial f(x) and set S={x 1 ,x 2 ,...,x d}, with element x i The Lagrangian coefficient corresponding to the set S is From the Lagrangian coefficients, the polynomial f(x) can be calculated as follows:
[0071] f(x)=∑ i∈S Δ i,S f(x i ),
[0072] Here, the Lagrange coefficient is Δ i,S is a polynomial in the independent variable x, so
[0073] f(0)=∑ i∈S Δ i,S (0)f(x i ).
[0074] Two, the realization process of the present invention
[0075]...
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Abstract
Description
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