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The complexity of collision-resistant hash functions has been long studied in the theory of cryptography. While we often think about them as a Minicrypt primitive, black-box separations demonstrate th...
We introduce a new primitive, called trapdoor hash functions (TDH), which are hash functions H:{0,1}n→{0,1}secH:{0,1}n→{0,1}sec with additional trapdoor function-like properties. Specifically, given a...
The area of practical proof systems, like SNARKs, STARKs, or Bulletproofs, is seeing a very dynamic development. Many use-cases of such systems involve, often as their most expensive apart, proving th...
The area of practical proof systems, like SNARKs, STARKs, or Bulletproofs, is seeing a very dynamic development. Many use-cases of such systems involve, often as their most expensive apart, proving th...
Last year Takashima proposed a version of Charles, Goren and Lauter’s hash function using Richelot isogenies, starting from a genus-2 curve that allows for all subsequent arithmetic to be performed ov...
There only exists one deterministic identity-based encryption (DIBE) scheme which is adaptively secure in the auxiliary-input setting, under the learning with errors (LWE) assumption. However, the mas...
Property-preserving hash functions are usually probabilistic: they use the random choice of a hash function from a family to achieve compression, and as a consequence, err on some inputs. Traditionall...
Hash functions are of fundamental importance in theoretical and in practical cryptography, and with the threat of quantum computers possibly emerging in the future, it is an urgent objective to unders...
We construct an efficiently verifiable slow-timed hash function. A slow-timed hash function is a hash function with the guarantee that its evaluation requires to run a given number of sequential steps...
The MD transform that underlies the MD and SHA families iterates a compression function hh to get a hash function HH. The question we ask is, what property X of hh guarantees collision resistance (CR)...
Security of cryptographic schemes is traditionally measured as the inability of resource-constrained adversaries to violate a desired security goal. The security argument usually relies on a sound des...
Commonly used digital signature schemes have a limited lifetime because their security is based on computational assumptions that will potentially break in the future when more powerful computers are ...
We study multi-collision-resistant hash functions --- a natural relaxation of collision-resistant hashing that only guarantees the intractability of finding many (rather than two) inputs that map to t...
Collision resistant hash functions are functions that shrink their input, but for which it is computationally infeasible to find a collision, namely two strings that hash to the same value (although c...
In this paper we investigate weak keys of universal hash functions (UHFs) from their combinatorial properties. We find that any UHF has a general class of keys, which makes the combinatorial propertie...

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