Algebraic blinding and cryptographic trilinear maps

02/18/2020

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by   Ming-Deh A. Huang, et al.

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It has been shown recently that cryptographic trilinear maps are sufficient for achieving indistinguishability obfuscation. In this paper we develop algebraic blinding techniques for constructing such maps. An earlier approach involving Weil restriction can be regarded as a special case of blinding in our framework. However, the techniques developed in this paper are more general, more robust, and easier to analyze. We demonstrate this approach in the construction of trilinear maps based on elliptic curves.