Locally decodable codes for edit distance

Rafail Ostrovsky, Anat Paskin-Cherniavsky

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

7 Scopus citations

Abstract

Locally decodable codes (LDC) [1,9] are error correcting codes that allow decoding (any) individual symbol of the message, by reading only few symbols of the codeword. LDC’s, originally considered in the setting of PCP’s [1], have found other additional applications in theory of CS, such as PIR in cryptography, generating a lot of fascinating work (see [12] and references within). In one straightforward practical application to storage, such codes provide enormous efficiency gains over standard error correcting codes (ECCs), that need to read the entire encoded message to learn even a single bit of the encoded message. Typically, LDC’s, as well as standard ECC’s are designed to decode the encoded message if up to some bounded fraction of the symbols had been modified. This corresponds to decoding strings of bounded Hamming distance from a valid codeword. A stronger natural metric is the edit distance, measuring the shortest sequence of insertions and deletions (indel.) of symbols leading from one word to another.1Standard ECC’s for edit distance have been previously considered [11]. Furthermore, [11] devised codes with rate and distance (error tolerance) optimal up to constants, with efficient encoding and decoding procedures. However, combining these two useful settings of LDC, and robustness against indel. errors has never been considered.

Original languageEnglish
Title of host publicationInformation Theoretic Security - 8th International Conference, ICITS 2015, Proceedings
EditorsStefan Wolf, Anja Lehmann
Pages236-249
Number of pages14
DOIs
StatePublished - 2015
Externally publishedYes
Event8th International Conference on Information Theoretic Security, ICITS 2015 - Lugano, Switzerland
Duration: 2 May 20155 May 2015

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9063
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference8th International Conference on Information Theoretic Security, ICITS 2015
Country/TerritorySwitzerland
CityLugano
Period2/05/155/05/15

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