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FOCS
2003
IEEE
15 years 9 months ago
Proving Hard-Core Predicates Using List Decoding
We introduce a unifying framework for proving that predicate P is hard-core for a one-way function f, and apply it to a broad family of functions and predicates, reproving old res...
Adi Akavia, Shafi Goldwasser, Shmuel Safra
STOC
2009
ACM
161views Algorithms» more  STOC 2009»
16 years 4 months ago
List decoding tensor products and interleaved codes
We design the first efficient algorithms and prove new combinatorial bounds for list decoding tensor products of codes and interleaved codes. ? We show that for every code, the rat...
Parikshit Gopalan, Venkatesan Guruswami, Prasad Ra...
ICC
2008
IEEE
199views Communications» more  ICC 2008»
15 years 10 months ago
Lower-Complexity Layered Belief-Propagation Decoding of LDPC Codes
Abstract— The design of LDPC decoders with low complexity, high throughput, and good performance is a critical task. A well-known strategy is to design structured codes such as q...
Yuan-Mao Chang, Andres I. Vila Casado, Mau-Chung F...
ICC
2007
IEEE
192views Communications» more  ICC 2007»
15 years 10 months ago
Informed Dynamic Scheduling for Belief-Propagation Decoding of LDPC Codes
— Low-Density Parity-Check (LDPC) codes are usually decoded by running an iterative belief-propagation, or message-passing, algorithm over the factor graph of the code. The tradi...
Andres I. Vila Casado, Miguel Griot, Richard D. We...
STOC
2007
ACM
179views Algorithms» more  STOC 2007»
16 years 4 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