{"id":"https://openalex.org/W2165780044","doi":"https://doi.org/10.1109/isit.2011.6033982","title":"Symbol-pair codes: Algebraic constructions and asymptotic bounds","display_name":"Symbol-pair codes: Algebraic constructions and asymptotic bounds","publication_year":2011,"publication_date":"2011-07-01","ids":{"openalex":"https://openalex.org/W2165780044","doi":"https://doi.org/10.1109/isit.2011.6033982","mag":"2165780044"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2011.6033982","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2011.6033982","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Symposium on Information Theory Proceedings","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/178505","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063057008","display_name":"Yuval Cassuto","orcid":"https://orcid.org/0000-0001-6369-6699"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yuval Cassuto","raw_affiliation_strings":["School of Computer and Communication Sciences, ALGO Laboratory, Lausanne, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Sciences, ALGO Laboratory, Lausanne, Switzerland","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044662173","display_name":"Simon Litsyn","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Simon Litsyn","raw_affiliation_strings":["Department of Electrical Engineering-Systems, Tel-Aviv University, Tel Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering-Systems, Tel-Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7586,"has_fulltext":false,"cited_by_count":75,"citation_normalized_percentile":{"value":0.87808632,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"2348","last_page":"2352"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.7418590784072876},{"id":"https://openalex.org/keywords/cyclic-code","display_name":"Cyclic code","score":0.7392492890357971},{"id":"https://openalex.org/keywords/dual-polyhedron","display_name":"Dual polyhedron","score":0.6651062369346619},{"id":"https://openalex.org/keywords/hamming-bound","display_name":"Hamming bound","score":0.5906606912612915},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5781934857368469},{"id":"https://openalex.org/keywords/coding-theory","display_name":"Coding theory","score":0.5493436455726624},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5237964391708374},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.515649676322937},{"id":"https://openalex.org/keywords/constant-weight-code","display_name":"Constant-weight code","score":0.5108201503753662},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.5092474222183228},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4822752773761749},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.45750856399536133},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.4381164610385895},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.43705397844314575},{"id":"https://openalex.org/keywords/prefix-code","display_name":"Prefix code","score":0.4252912402153015},{"id":"https://openalex.org/keywords/hamming","display_name":"Hamming(7,4)","score":0.4178369641304016},{"id":"https://openalex.org/keywords/code-rate","display_name":"Code rate","score":0.41033393144607544},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3325576186180115},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3246108293533325},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3017706274986267},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.10142907500267029}],"concepts":[{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.7418590784072876},{"id":"https://openalex.org/C2096984","wikidata":"https://www.wikidata.org/wiki/Q245464","display_name":"Cyclic code","level":5,"score":0.7392492890357971},{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.6651062369346619},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.5906606912612915},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5781934857368469},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.5493436455726624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5237964391708374},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.515649676322937},{"id":"https://openalex.org/C197242373","wikidata":"https://www.wikidata.org/wiki/Q5163613","display_name":"Constant-weight code","level":5,"score":0.5108201503753662},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5092474222183228},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4822752773761749},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.45750856399536133},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.4381164610385895},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.43705397844314575},{"id":"https://openalex.org/C20079647","wikidata":"https://www.wikidata.org/wiki/Q1278039","display_name":"Prefix code","level":5,"score":0.4252912402153015},{"id":"https://openalex.org/C112932734","wikidata":"https://www.wikidata.org/wiki/Q2322550","display_name":"Hamming(7,4)","level":5,"score":0.4178369641304016},{"id":"https://openalex.org/C206468330","wikidata":"https://www.wikidata.org/wiki/Q834373","display_name":"Code rate","level":3,"score":0.41033393144607544},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3325576186180115},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3246108293533325},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3017706274986267},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.10142907500267029},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2011.6033982","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2011.6033982","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Symposium on Information Theory Proceedings","raw_type":"proceedings-article"},{"id":"pmh:oai:infoscience.epfl.ch:178505","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/178505","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:infoscience.tind.io:178505","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/82186","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conference proceedings"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:178505","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/178505","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1559343931","https://openalex.org/W1651818244","https://openalex.org/W2004970940","https://openalex.org/W2039541047","https://openalex.org/W2064759901","https://openalex.org/W2083774980","https://openalex.org/W2102447809","https://openalex.org/W2162118201","https://openalex.org/W2170716519","https://openalex.org/W2182112064","https://openalex.org/W3216147140","https://openalex.org/W4206775542","https://openalex.org/W6804434002","https://openalex.org/W7028394351"],"related_works":["https://openalex.org/W2110798623","https://openalex.org/W4388321894","https://openalex.org/W2964136540","https://openalex.org/W43044209","https://openalex.org/W4300879987","https://openalex.org/W1557234699","https://openalex.org/W2142157400","https://openalex.org/W2463698110","https://openalex.org/W2348746730","https://openalex.org/W4246247137"],"abstract_inverted_index":{"For":[0],"the":[1,10,62],"recently":[2],"proposed":[3],"model":[4],"of":[5,34,36],"symbol-pair":[6],"channels,":[7],"we":[8],"advance":[9],"pair-error":[11],"coding":[12],"theory":[13],"with":[14],"algebraic":[15],"cyclic-code":[16,40],"constructions":[17],"and":[18],"asymptotic":[19],"bounds":[20,44],"on":[21,45],"code":[22,46],"rates.":[23],"Cyclic":[24],"codes":[25,50,60],"for":[26,51,55,61],"pair-errors":[27,52],"are":[28],"constructed":[29],"by":[30],"a":[31],"careful":[32],"use":[33],"duals":[35],"known":[37],"tools":[38],"from":[39],"theory.":[41],"Asymptotic":[42],"lower":[43],"rates":[47,56],"show":[48],"that":[49],"provably":[53],"exist":[54],"strictly":[57],"higher":[58],"than":[59],"Hamming":[63],"metric.":[64]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}