[Resource Topic] 2015/1048: Verifiable Random Functions from Standard Assumptions

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Title:
Verifiable Random Functions from Standard Assumptions

Authors: Dennis Hofheinz, Tibor Jager

Abstract:

The question whether there exist verifiable random functions with exponential-sized input space and full adaptive security based on a non-interactive, constant-size assumption is a long-standing open problem. We construct the first verifiable random functions which simultaneously achieve all these properties. Our construction can securely be instantiated in symmetric bilinear groups, based on any member of the (n-1)-linear assumption family with n >= 3. This includes, for example, the 2-linear assumption, which is also known as the decision linear (DLIN) assumption.

ePrint: https://eprint.iacr.org/2015/1048

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