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Can PPAD Hardness be Based on Standard Cryptographic Assumptions?
SVL Standard Cryptographic Assumptions
2016/4/15
We consider the question of whether average-case PPAD hardness can be based on standard cryptographic assumptions, such as the existence of one-way functions or public-key encryption. This question is...
Automated Analysis of Cryptographic Assumptions in Generic Group Models
generic group model multilinear maps graded encoding schemes
2016/1/9
We initiate the study of principled, automated, methods for
analyzing hardness assumptions in generic group models, following the
approach of symbolic cryptography. We start by defining a broad clas...
The mission of theoretical cryptography is to define and construct provably secure cryptographic protocols and schemes. Without proofs of security, cryptographic constructs offer no guarantees whatsoe...
On the Analysis of Cryptographic Assumptions in the Generic Ring Model
Cryptographic Assumptions Generic Ring Model
2009/12/29
At Eurocrypt 2009 Aggarwal and Maurer proved that breaking RSA is equivalent to factoring
in the generic ring model. This model captures algorithms that may exploit the full algebraic
structure of t...