Pseudorandom generators without the XOR Lemma (extended abstract)
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
On the efficiency of local decoding procedures for error-correcting codes
STOC '00 Proceedings of the thirty-second annual ACM symposium on Theory of computing
Hiding Instances in Multioracle Queries
STACS '90 Proceedings of the 7th Annual Symposium on Theoretical Aspects of Computer Science
Efficient Checking of Computations
STACS '90 Proceedings of the 7th Annual Symposium on Theoretical Aspects of Computer Science
Towards 3-query locally decodable codes of subexponential length
Journal of the ACM (JACM)
3-query locally decodable codes of subexponential length
Proceedings of the forty-first annual ACM symposium on Theory of computing
FOCS '10 Proceedings of the 2010 IEEE 51st Annual Symposium on Foundations of Computer Science
Local List Decoding with a Constant Number of Queries
FOCS '10 Proceedings of the 2010 IEEE 51st Annual Symposium on Foundations of Computer Science
High-rate codes with sublinear-time decoding
Proceedings of the forty-third annual ACM symposium on Theory of computing
Noisy Interpolation of Sparse Polynomials, and Applications
CCC '11 Proceedings of the 2011 IEEE 26th Annual Conference on Computational Complexity
Locally Decodable Codes
A novel elementary construction of matching vectors
Information Processing Letters
A new family of locally correctable codes based on degree-lifted algebraic geometry codes
Proceedings of the forty-fifth annual ACM symposium on Theory of computing
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Locally decodable codes are error correcting codes that simultaneously provide efficient random-access to encoded data and high noise resilience by allowing reliable reconstruction of an arbitrary data bit from looking at only a small number of randomly chosen codeword bits. Local decodability comes at the price of certain loss in terms of code efficiency. Specifically, locally decodable codes require longer codeword lengths than their classical counterparts. In this work we briefly survey the recent progress in constructions of locally decodable codes.