Weizmann Logo
ECCC
Electronic Colloquium on Computational Complexity

Under the auspices of the Computational Complexity Foundation (CCF)

Login | Register | Classic Style



REPORTS > AUTHORS > NIR BITANSKY:
All reports by Author Nir Bitansky:

TR17-099 | 5th June 2017
Nir Bitansky, Omer Paneth, Yael Tauman Kalai

Multi-Collision Resistance: A Paradigm for Keyless Hash Functions

Revisions: 2

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 the same image. An appealing feature of such hash functions is that unlike their collision-resistant counterparts, they do not necessarily require a key. ... more >>>


TR17-005 | 10th January 2017
Nir Bitansky

Verifiable Random Functions from Non-Interactive Witness-Indistinguishable Proofs

Revisions: 3

Verifiable random functions (VRFs) are pseudorandom functions where the owner of the seed, in addition to computing the function's value $y$ at any point $x$, can also generate a non-interactive proof $\pi$ that $y$ is correct (relative to so), without compromising pseudorandomness at other points. Being a natural primitive with ... more >>>


TR16-091 | 3rd June 2016
Nir Bitansky, Akshay Degwekar, Vinod Vaikuntanathan

Structure vs Hardness through the Obfuscation Lens

Revisions: 3

Cryptography relies on the computational hardness of structured problems. While one-way functions, the most basic cryptographic object, do not seem to require much structure, as we advance up the ranks into public-key cryptography and beyond, we seem to require that certain structured problems are hard. For example, factoring, quadratic residuosity, ... more >>>


TR15-187 | 24th November 2015
Nir Bitansky, Vinod Vaikuntanathan

A Note on Perfect Correctness by Derandomization

Revisions: 1


In this note, we show how to transform a large class of erroneous cryptographic schemes into perfectly correct ones. The transformation works for schemes that are correct on every input with probability noticeably larger than half, and are secure under parallel repetition. We assume the existence of one-way functions ... more >>>


TR15-001 | 2nd January 2015
Nir Bitansky, Omer Paneth, Alon Rosen

On the Cryptographic Hardness of Finding a Nash Equilibrium

Revisions: 1

We prove that finding a Nash equilibrium of a game is hard, assuming the existence of indistinguishability obfuscation and injective one-way functions with sub-exponential hardness. We do so by showing how these cryptographic primitives give rise to a hard computational problem that lies in the complexity class PPAD, for which ... more >>>




ISSN 1433-8092 | Imprint