{"id":"https://openalex.org/W2171245345","doi":"https://doi.org/10.1109/tit.1980.1056193","title":"Determining the burst-correcting limit of cyclic codes","display_name":"Determining the burst-correcting limit of cyclic codes","publication_year":1980,"publication_date":"1980-05-01","ids":{"openalex":"https://openalex.org/W2171245345","doi":"https://doi.org/10.1109/tit.1980.1056193","mag":"2171245345"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1980.1056193","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1980.1056193","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074162068","display_name":"H. J. Matt","orcid":null},"institutions":[{"id":"https://openalex.org/I2800274787","display_name":"Fraunhofer Institute for Telecommunications, Heinrich Hertz Institute","ror":"https://ror.org/02tbr6331","country_code":"DE","type":"facility","lineage":["https://openalex.org/I2800274787","https://openalex.org/I4923324"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"H. Matt","raw_affiliation_strings":["Heimich-Hertz-Institut fur Nachrichtentechnik Einsteinufer, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Heimich-Hertz-Institut fur Nachrichtentechnik Einsteinufer, Berlin, Germany","institution_ids":["https://openalex.org/I2800274787"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089069520","display_name":"J. Massey","orcid":"https://orcid.org/0000-0002-7793-7008"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]},{"id":"https://openalex.org/I2800274787","display_name":"Fraunhofer Institute for Telecommunications, Heinrich Hertz Institute","ror":"https://ror.org/02tbr6331","country_code":"DE","type":"facility","lineage":["https://openalex.org/I2800274787","https://openalex.org/I4923324"]},{"id":"https://openalex.org/I4210158218","display_name":"AndroScience (United States)","ror":"https://ror.org/04v13n874","country_code":"US","type":"company","lineage":["https://openalex.org/I4210158218"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"J. Massey","raw_affiliation_strings":["Department of SystemScience, University of California, Los Angeles, CA, USA","Heimich-Hertz-Institut fur Nachrichtentechnik Einsteinufer, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of SystemScience, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765","https://openalex.org/I4210158218"]},{"raw_affiliation_string":"Heimich-Hertz-Institut fur Nachrichtentechnik Einsteinufer, Berlin, Germany","institution_ids":["https://openalex.org/I2800274787"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":2.7871,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.92083056,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"26","issue":"3","first_page":"289","last_page":"297"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/combinatorics","display_name":"Combinatorics","score":0.5731217861175537},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5425106287002563},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5212898254394531},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4928596019744873},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.48186931014060974},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45171597599983215},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4195929169654846},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37091362476348877},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.15317147970199585},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06682711839675903}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5731217861175537},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5425106287002563},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5212898254394531},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4928596019744873},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.48186931014060974},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45171597599983215},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4195929169654846},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37091362476348877},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.15317147970199585},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06682711839675903},{"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/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tit.1980.1056193","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1980.1056193","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:fraunhofer.de:N-14164","is_oa":false,"landing_page_url":"http://publica.fraunhofer.de/documents/N-14164.html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400801","display_name":"Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fraunhofer HHI","raw_type":"Journal Article"},{"id":"pmh:oai:publica.fraunhofer.de:publica/169491","is_oa":false,"landing_page_url":"https://publica.fraunhofer.de/handle/publica/169491","pdf_url":null,"source":{"id":"https://openalex.org/S4306400318","display_name":"Fraunhofer-Publica (Fraunhofer-Gesellschaft)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4923324","host_organization_name":"Fraunhofer-Gesellschaft","host_organization_lineage":["https://openalex.org/I4923324"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1594652978","https://openalex.org/W1989008275","https://openalex.org/W2029850894","https://openalex.org/W2123499731","https://openalex.org/W2133429391","https://openalex.org/W2162442687","https://openalex.org/W2182112064","https://openalex.org/W2334439626"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W1976691234","https://openalex.org/W3212023493","https://openalex.org/W2090715877","https://openalex.org/W2572370460"],"abstract_inverted_index":{"Two":[0],"new":[1],"computationally":[2],"efficient":[3],"algorithms":[4],"are":[5,128],"developed":[6],"for":[7,120],"finding":[8,79],"the":[9,24,31,35,80,83,90,96,100,103,117],"exact":[10],"burst-correcting":[11,118],"limit":[12,119],"of":[13,27,30,34,50,59,82,92,102,116,124],"a":[14,41,47,121],"cyclic":[15,126],"code.":[16,36],"The":[17,68],"first":[18],"algorithm":[19],"is":[20,40,76],"based":[21,77],"on":[22,78],"testing":[23],"colmn":[25],"rank":[26],"certain":[28],"submatrices":[29],"parity-check":[32,104],"matrix":[33],"An":[37],"auxiliary":[38],"result":[39],"proof":[42],"that":[43,88],"every":[44],"cyclic(n,k)codes":[45],"with":[46],"minimum":[48],"distance":[49],"at":[51,55],"least":[52,56],"three,":[53],"corrects":[54],"all":[57],"bursts":[58],"length\\lfloor":[60],"(n":[61],"-":[62,94],"2k":[63],"+":[64],"1)/2":[65],"\\rflooror":[66],"less.":[67],"second":[69],"algorithm,":[70],"which":[71],"requires":[72],"somewhat":[73],"less":[74],"computation,":[75],"length":[81],"shortest":[84],"linear":[85],"feedback":[86],"shift-register":[87],"generates":[89],"subsequences":[91],"lengthn":[93],"kof":[95],"sequence":[97],"formed":[98],"by":[99],"coefficients":[101],"polynomialh(x),":[105],"augmented":[106],"with\\lfloor":[107],"(n-k)/2":[108],"\\rfloor":[109],"-1leading":[110],"zeros":[111],"and":[112],"trailing":[113],"zeros.":[114],"Tables":[115],"large":[122],"number":[123],"binary":[125],"codes":[127],"included.":[129]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
