{"id":"https://openalex.org/W1983317331","doi":"https://doi.org/10.1109/tit.1969.1054269","title":"Generalized threshold decoding and the Reed- Solomon codes","display_name":"Generalized threshold decoding and the Reed- Solomon codes","publication_year":1969,"publication_date":"1969-01-01","ids":{"openalex":"https://openalex.org/W1983317331","doi":"https://doi.org/10.1109/tit.1969.1054269","mag":"1983317331"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1969.1054269","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1969.1054269","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/A5089639236","display_name":"W. Gore","orcid":null},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"W. Gore","raw_affiliation_strings":["Johns Hopkins University, Baltimore, MD, USA"],"affiliations":[{"raw_affiliation_string":"Johns Hopkins University, Baltimore, MD, USA","institution_ids":["https://openalex.org/I145311948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5089639236"],"corresponding_institution_ids":["https://openalex.org/I145311948"],"apc_list":null,"apc_paid":null,"fwci":3.1155,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.90866945,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"1","first_page":"78","last_page":"81"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9998999834060669,"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/T11130","display_name":"Coding theory and cryptography","score":0.9991999864578247,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9958999752998352,"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/bch-code","display_name":"BCH code","score":0.8300743103027344},{"id":"https://openalex.org/keywords/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.7781099081039429},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.7484695315361023},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.6083773374557495},{"id":"https://openalex.org/keywords/berlekamp\u2013welch-algorithm","display_name":"Berlekamp\u2013Welch algorithm","score":0.5188719034194946},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46125590801239014},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4573928117752075},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.45319047570228577},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39994552731513977},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3331308960914612},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.294954389333725},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2714732885360718},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.14333340525627136},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07717779278755188}],"concepts":[{"id":"https://openalex.org/C42276685","wikidata":"https://www.wikidata.org/wiki/Q795705","display_name":"BCH code","level":3,"score":0.8300743103027344},{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.7781099081039429},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7484695315361023},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.6083773374557495},{"id":"https://openalex.org/C132727834","wikidata":"https://www.wikidata.org/wiki/Q4892328","display_name":"Berlekamp\u2013Welch algorithm","level":5,"score":0.5188719034194946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46125590801239014},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4573928117752075},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.45319047570228577},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39994552731513977},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3331308960914612},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.294954389333725},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2714732885360718},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.14333340525627136},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07717779278755188}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1969.1054269","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1969.1054269","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1520899630","https://openalex.org/W1985800138","https://openalex.org/W2148575324","https://openalex.org/W4245256025"],"related_works":["https://openalex.org/W1995527419","https://openalex.org/W2066795426","https://openalex.org/W4242597560","https://openalex.org/W1721371164","https://openalex.org/W1976834495","https://openalex.org/W2394020598","https://openalex.org/W2013901888","https://openalex.org/W1570954324","https://openalex.org/W1768316021","https://openalex.org/W2521769401"],"abstract_inverted_index":{"A":[0],"necessary":[1],"condition":[2],"for":[3,25],"the":[4,26,29,51],"existence":[5],"of":[6,9,41,65],"a":[7,63,73],"set":[8],"<tex":[10,34],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[11,35],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">J</tex>":[12],"orthogonal":[13],"parity":[14],"check":[15],"equations":[16],"is":[17,21,44,48,62],"developed,":[18],"and":[19,46],"it":[20,47],"demonstrated":[22,49],"that,":[23],"except":[24],"trivial":[27],"codes,":[28],"Reed-Solomon":[30,52,67],"codes":[31,53],"are":[32,54],"not":[33],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">L</tex>":[36],"-step":[37],"orthogonalizable.":[38],"Massey's":[39],"concept":[40],"threshold":[42,56,75],"decoding":[43],"generalized,":[45],"that":[50],"completely":[55],"decodable.":[57],"Since":[58],"every":[59,69],"BCH":[60,70],"code":[61,71],"subcode":[64],"some":[66],"code,":[68],"has":[72],"generalized":[74],"decoder.":[76]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
