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» Corruption and Recovery-Efficient Locally Decodable Codes
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STOC
2007
ACM
179views Algorithms» more  STOC 2007»
14 years 8 months ago
Towards 3-query locally decodable codes of subexponential length
A q-query Locally Decodable Code (LDC) encodes an n-bit message x as an N-bit codeword C(x), such that one can probabilistically recover any bit xi of the message by querying only...
Sergey Yekhanin
ECCC
2006
120views more  ECCC 2006»
13 years 8 months ago
New Locally Decodable Codes and Private Information Retrieval Schemes
A q query Locally Decodable Code (LDC) encodes an n-bit message x as an N-bit codeword C(x), such that one can probabilistically recover any bit xi of the message by querying only...
Sergey Yekhanin
COCO
2011
Springer
217views Algorithms» more  COCO 2011»
12 years 7 months ago
Noisy Interpolation of Sparse Polynomials, and Applications
Let f ∈ Fq[x] be a polynomial of degree d ≤ q/2. It is well-known that f can be uniquely recovered from its values at some 2d points even after some small fraction of the valu...
Shubhangi Saraf, Sergey Yekhanin
STACS
2009
Springer
14 years 2 months ago
Error-Correcting Data Structures
We study data structures in the presence of adversarial noise. We want to encode a given object in a succinct data structure that enables us to efficiently answer specific queries...
Ronald de Wolf
STACS
2010
Springer
14 years 2 months ago
Efficient and Error-Correcting Data Structures for Membership and Polynomial Evaluation
We construct efficient data structures that are resilient against a constant fraction of adversarial noise. Our model requires that the decoder answers most queries correctly with...
Victor Chen, Elena Grigorescu, Ronald de Wolf