Some Applications of Coding Theory in Computational Complexity

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dc.creatorTrevisan, Luca
dc.date2004-09-24
dc.date.accessioned2026-07-07T08:15:15Z
dc.date.available2026-07-07T08:15:15Z
dc.descriptionError-correcting codes and related combinatorial constructs play an important role in several recent (and old) results in computational complexity theory. In this paper we survey results on locally-testable and locally-decodable error-correcting codes, and their applications to complexity theory and to cryptography. Locally decodable codes are error-correcting codes with sub-linear time error-correcting algorithms. They are related to private information retrieval (a type of cryptographic protocol), and they are used in average-case complexity and to construct ``hard-core predicates'' for one-way permutations. Locally testable codes are error-correcting codes with sub-linear time error-detection algorithms, and they are the combinatorial core of probabilistically checkable proofs.
dc.identifierhttps://arxiv.org/abs/cs/0409044
dc.identifierhttp://arxiv.org/abs/cs/0409044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133388
dc.subjectComputational Complexity
dc.subjectInformation Theory
dc.titleSome Applications of Coding Theory in Computational Complexity
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