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» Corruption and Recovery-Efficient Locally Decodable Codes
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103
Voted
STOC
2007
ACM
179views Algorithms» more  STOC 2007»
16 years 25 days 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»
15 years 16 days 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»
14 years 10 days 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
15 years 7 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
15 years 7 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