NDLI: Correcting errors without leaking partial information

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Simulating independence: new constructions of condensers, ramsey graphs, dispersers, and extractors

Approximation techniques for utilitarian mechanism design

On lattices, learning with errors, random linear codes, and cryptography

On dynamic range reporting in one dimension

Beyond NP: the work and legacy of Larry Stockmeyer

Every monotone graph property is testable

Approximation algorithms for network design with metric costs

Optimal approximations of the frequency moments of data streams

Tree-walking automata do not recognize all regular languages

Simple PCPs with poly-log rate and query complexity

Computing the first Betti number and the connected components of semi-algebraic sets

The round complexity of two-party random selection

Learning with attribute costs

Undirected ST-connectivity in log-space

Universal approximations for TSP, Steiner tree, and set cover

Spectral norm of random matrices

Tensor norms and the classical communication complexity of nonlocal quantum measurement

Quadratic forms on graphs

Covert two-party computation

Euclidean distortion and the sparsest cut

Locally decodable codes with 2 queries and polynomial identity testing for depth 3 circuits

Approximation algorithms for combinatorial auctions with complement-free bidders

An O(log n log log n) space algorithm for undirected st-connectivity

The complexity of agreement

A new strategy for querying priced information

From a static impossibility to an adaptive lower bound: the complexity of early deciding set agreement

Every 2-CSP allows nontrivial approximation

Extractors with weak random seeds

Computing correlated equilibria in multi-player games

Representing hard lattices with O(n log n) bits

Worst-case update times for fully-dynamic all-pairs shortest paths

Testing versus estimation of graph properties

On non-uniform multicommodity buy-at-bulk network design

Coresets in dynamic geometric data streams

Balanced boolean functions that can be evaluated so that every input bit is unlikely to be read

Hardness of the undirected edge-disjoint paths problem

Polynomial time algorithm for computing the top Betti numbers of semi-algebraic sets defined by quadratic inequalities

Hierarchies for semantic classes

Learning nonsingular phylogenies and hidden Markov models

Saving an epsilon: a 2-approximation for the k-MST problem in graphs

On random pm 1 matrices: singularity and determinant

Fast quantum algorithms for computing the unit group and class group of a number field

Lower-stretch spanning trees

On obfuscating point functions

Improved approximation algorithms for minimum-weight vertex separators

Limits to list decoding Reed-Solomon codes

Derandomization of auctions

Concurrent general composition of secure protocols in the timing model

Aggregating inconsistent information: ranking and clustering

An optimal multi-writer snapshot algorithm

Tensor decomposition and approximation schemes for constraint satisfaction problems

Pseudorandom generators for low degree polynomials

The Price of Routing Unsplittable Flow

Testing monotone high-dimensional distributions

Multicommodity flow, well-linked terminals, and routing problems

Low distortion embeddings for edit distance

Lower bounds for k-DNF resolution on random 3-CNFs

Hardness of the undirected congestion minimization problem

On algorithms for discrete and approximate brouwer fixed points

The mixing time of the thorp shuffle

On the average case performance of some greedy approximation algorithms for the uncapacitated facility location problem

Polynomial time quantum algorithm for the computation of the unit group of a number field

Edge partition of planar sraphs into two outerplanar graphs

New and improved constructions of non-malleable cryptographic protocols

O(√log n) approximation algorithms for min UnCut, min 2CNF deletion, and directed cut problems

Correcting errors without leaking partial information

On the bias of traceroute sampling: or, power-law degree distributions in regular graphs

Cooperative asynchronous update of shared memory

On strip packing With rotations

On uniform amplification of hardness in NP

The price of anarchy of finite congestion games

Efficient testing of groups

Oblivious routing in directed graphs with random demands

Low-distortion embeddings of general metrics into the line

Bounded-depth circuits: separating wires from gates

Towards strong nonapproximability results in the Lovasz-Schrijver hierarchy

Convex programming for scheduling unrelated parallel machines

Approximately counting integral flows and cell-bounded contingency tables

Towards asymptotic optimality in probabilistic packet marking

Fast quantum byzantine agreement

Collusion-free protocols

Balanced metric labeling

Key agreement from weak bit agreement

How to spread adversarial nodes?: rotate!

Market equilibrium via the excess demand function

Correcting errors without leaking partial information

Content Provider	ACM Digital Library
Author	Dodis, Yevgeniy Smith, Adam
Abstract	This paper explores what kinds of information two parties must communicate in order to correct errors which occur in a shared secret string W. Any bits they communicate must leak a significant amount of information about W --- that is, from the adversary's point of view, the entropy of W will drop significantly. Nevertheless, we construct schemes with which Alice and Bob can prevent an adversary from learning any useful information about W. Specifically, if the entropy of W is sufficiently high, then there is no function f(W) which the adversary can learn from the error-correction information with significant probability.This leads to several new results: (a) the design of noise-tolerant "perfectly one-way" hash functions in the sense of Canetti et al. [7], which in turn leads to obfuscation of proximity queries for high entropy secrets W; (b) private fuzzy extractors [11], which allow one to extract uniformly random bits from noisy and nonuniform data W, while also insuring that no sensitive information about W is leaked; and (c) noise tolerance and stateless key re-use in the Bounded Storage Model, resolving the main open problem of Ding [10].The heart of our constructions is the design of strong randomness extractors with the property that the source W can be recovered from the extracted randomness and any string W' which is close to W.
Starting Page	654
Ending Page	663
Page Count	10
File Format	PDF
ISBN	1581139608
DOI	10.1145/1060590.1060688
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2005-05-22
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Bounded storage model Information reconciliation Code obfuscation Error-correcting codes Cryptography Entropic security Randomness extractors
Content Type	Text
Resource Type	Article

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