{"id":"https://openalex.org/W2007226397","doi":"https://doi.org/10.1109/tit.1964.1053668","title":"A combinatorial problem and a simple decoding method for cyclic codes (Corresp.)","display_name":"A combinatorial problem and a simple decoding method for cyclic codes (Corresp.)","publication_year":1964,"publication_date":"1964-07-01","ids":{"openalex":"https://openalex.org/W2007226397","doi":"https://doi.org/10.1109/tit.1964.1053668","mag":"2007226397"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1964.1053668","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1964.1053668","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/A5080910294","display_name":"Martin Nesenbergs","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M. Nesenbergs","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080910294"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.06988712,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"3","first_page":"250","last_page":"252"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9994999766349792,"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":0.9994999766349792,"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/T11567","display_name":"semigroups and automata theory","score":0.9966999888420105,"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"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9952999949455261,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.8676072359085083},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.602251410484314},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5835098028182983},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5768560171127319},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.5760676264762878},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5506611466407776},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.4871639907360077},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.45648738741874695},{"id":"https://openalex.org/keywords/combinatorial-method","display_name":"Combinatorial method","score":0.45038676261901855},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"Error detection and correction","score":0.42503809928894043},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.4166017174720764},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3951597213745117},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3285658359527588},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1621589958667755},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.1421181559562683},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.13068318367004395},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.10859522223472595}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.8676072359085083},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.602251410484314},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5835098028182983},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5768560171127319},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.5760676264762878},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5506611466407776},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.4871639907360077},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.45648738741874695},{"id":"https://openalex.org/C2779521423","wikidata":"https://www.wikidata.org/wiki/Q3855646","display_name":"Combinatorial method","level":2,"score":0.45038676261901855},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.42503809928894043},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.4166017174720764},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3951597213745117},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3285658359527588},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1621589958667755},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.1421181559562683},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.13068318367004395},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.10859522223472595},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1964.1053668","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1964.1053668","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1531843149","https://openalex.org/W2083774980","https://openalex.org/W2088338167","https://openalex.org/W2313659359","https://openalex.org/W3216147140","https://openalex.org/W4234345682","https://openalex.org/W6804434002"],"related_works":["https://openalex.org/W3006682748","https://openalex.org/W1097487277","https://openalex.org/W2768610039","https://openalex.org/W4308265086","https://openalex.org/W2949964783","https://openalex.org/W2106889256","https://openalex.org/W2801357573","https://openalex.org/W2982363256","https://openalex.org/W2974000959","https://openalex.org/W3215977945"],"abstract_inverted_index":{"A":[0],"relevant":[1],"problem":[2],"pertaining":[3],"to":[4,33,41],"the":[5,17,104],"theory":[6],"of":[7,35,58,66,91,97,103],"runs":[8],"is":[9,13,24,27,70,83],"considered.":[10],"The":[11,49,64,72,80,95],"solution":[12],"given,":[14],"and":[15,46],"in":[16,77,88],"sequel,":[18],"a":[19,42,68],"useful":[20],"identity":[21],"(Lemma":[22],"2)":[23],"derived.":[25],"It":[26],"shown":[28],"how":[29],"these":[30],"results":[31],"apply":[32],"decoding":[34,81],"systematic":[36],"cyclic":[37],"codes.":[38],"This":[39],"leads":[40],"simply":[43],"implemented":[44],"error-correcting":[45],"detecting":[47],"decoder.":[48],"decoder":[50,69],"functions":[51],"by":[52],"searching":[53],"for":[54],"an":[55,100],"error-free":[56],"string":[57],"<tex":[59],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[60],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">k</tex>":[61],"consecutive":[62],"digits.":[63],"efficiency":[65,82],"such":[67],"described.":[71],"quantitative":[73],"values":[74],"are":[75],"given":[76],"Table":[78],"I.":[79],"higher":[84],"when":[85],"errors":[86],"occur":[87],"bursts,":[89],"instead":[90],"being":[92],"independently":[93],"distributed.":[94],"use":[96],"feedback":[98],"offers":[99],"attractive":[101],"utilization":[102],"intrinsic":[105],"error-detecting":[106],"capability.":[107]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
