Extractors and secret sharing against bounded collusion protocols

E Chattopadhyay, J Goodman, V Goyal… - 2020 IEEE 61st …, 2020 - ieeexplore.ieee.org
In a recent work, Kumar, Meka, and Sahai (FOCS 2019) introduced the notion of bounded
collusion protocols (BCPs). BCPs are multiparty communication protocols in which N parties …

Recent Advances in Randomness Extraction

E Chattopadhyay - Entropy, 2022 - mdpi.com
The area of randomness extraction has seen interesting advances in recent years, with rapid
progress on many longstanding open problems, along with the introduction of many new …

Multi-source non-malleable extractors and applications

V Goyal, A Srinivasan, C Zhu - … on the Theory and Applications of …, 2021 - Springer
We introduce a natural generalization of two-source non-malleable extractors (Cheragachi
and Guruswami, TCC 2014) called as multi-source non-malleable extractors. Multi-source …

How to extract useful randomness from unreliable sources

D Aggarwal, M Obremski, J Ribeiro… - Advances in Cryptology …, 2020 - Springer
For more than 30 years, cryptographers have been looking for public sources of uniform
randomness in order to use them as a set-up to run appealing cryptographic protocols …

Low-degree polynomials extract from local sources

O Alrabiah, E Chattopadhyay, J Goodman, X Li… - arXiv preprint arXiv …, 2022 - arxiv.org
We continue a line of work on extracting random bits from weak sources that are generated
by simple processes. We focus on the model of locally samplable sources, where each bit in …

Improved extractors for small-space sources

E Chattopadhyay, J Goodman - 2021 IEEE 62nd Annual …, 2022 - ieeexplore.ieee.org
We study the problem of extracting random bits from weak sources that are sampled by
algorithms with limited memory. This model of small-space sources was introduced by …

Randomness extraction from somewhat dependent sources

M Ball, O Goldreich, T Malkin - 13th Innovations in Theoretical …, 2022 - drops.dagstuhl.de
We initiate a comprehensive study of the question of randomness extractions from two
somewhat dependent sources of defective randomness. Specifically, we present three …

Extracting mergers and projections of partitions

S Kopparty - arXiv preprint arXiv:2306.16915, 2023 - arxiv.org
We study the problem of extracting randomness from somewhere-random sources, and
related combinatorial phenomena: partition analogues of Shearer's lemma on projections. A …

Nonmalleable extractors and codes, with their many tampered extensions

E Chattopadhyay, V Goyal, X Li - SIAM Journal on Computing, 2020 - SIAM
Randomness extractors and error correcting codes are fundamental objects in computer
science. Recently, there have been several natural generalizations of these objects, in the …

Seedless Extractors

JPMG Goodman - 2023 - search.proquest.com
Randomness is a powerful tool, exploited almost everywhere in computer science–from
cryptography, to distributed computing, to algorithm design and more. Unfortunately, most of …