All reports by Author Raghu Meka:

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TR20-055
| 22nd April 2020
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Ashutosh Kumar, Raghu Meka, David Zuckerman#### Bounded Collusion Protocols, Cylinder-Intersection Extractors and Leakage-Resilient Secret Sharing

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TR19-079
| 28th May 2019
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Arnab Bhattacharyya, Philips George John, Suprovat Ghoshal, Raghu Meka#### Average Bias and Polynomial Sources

Revisions: 2

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TR18-200
| 29th November 2018
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Ashutosh Kumar, Raghu Meka, Amit Sahai#### Leakage-Resilient Secret Sharing

Ashutosh Kumar, Raghu Meka, David Zuckerman

In this work we study bounded collusion protocols (BCPs) recently introduced in the context of secret sharing by Kumar, Meka, and Sahai (FOCS 2019). These are multi-party communication protocols on $n$ parties where in each round a subset of $p$-parties (the collusion bound) collude together and write a function of ... more >>>

Arnab Bhattacharyya, Philips George John, Suprovat Ghoshal, Raghu Meka

We identify a new notion of pseudorandomness for randomness sources, which we call the average bias. Given a distribution $Z$ over $\{0,1\}^n$, its average bias is: $b_{\text{av}}(Z) =2^{-n} \sum_{c \in \{0,1\}^n} |\mathbb{E}_{z \sim Z}(-1)^{\langle c, z\rangle}|$. A source with average bias at most $2^{-k}$ has min-entropy at least $k$, and ... more >>>

Ashutosh Kumar, Raghu Meka, Amit Sahai

In this work, we consider the natural goal of designing secret sharing schemes that ensure security against a powerful adaptive adversary who may learn some ``leaked'' information about all the shares. We say that a secret sharing scheme is $p$-party leakage-resilient, if the secret remains statistically hidden even after an ... more >>>