{"id":"https://openalex.org/W2143482254","doi":"https://doi.org/10.1109/itw.2006.1633800","title":"On the Probability of Undetected Error for Over-Extended Reed-Solomon Codes","display_name":"On the Probability of Undetected Error for Over-Extended Reed-Solomon Codes","publication_year":2006,"publication_date":"2006-05-25","ids":{"openalex":"https://openalex.org/W2143482254","doi":"https://doi.org/10.1109/itw.2006.1633800","mag":"2143482254"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2006.1633800","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2006.1633800","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE Information Theory Workshop","raw_type":"proceedings-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/A5081639502","display_name":"Junsheng Han","orcid":"https://orcid.org/0009-0006-7162-017X"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Junsheng Han","raw_affiliation_strings":["Center for Magnetic Recording Research, University of California, San Diego, CA, USA","Center for Magnetic Recording Research, University of California, San Diego, La Jolla, California 92093-0401, Email: han@cts.ucsd.edu"],"affiliations":[{"raw_affiliation_string":"Center for Magnetic Recording Research, University of California, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Center for Magnetic Recording Research, University of California, San Diego, La Jolla, California 92093-0401, Email: han@cts.ucsd.edu","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060049531","display_name":"Paul H. Siegel","orcid":"https://orcid.org/0000-0001-5850-0874"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P.H. Siegel","raw_affiliation_strings":["Center for Magnetic Recording Research, University of California, San Diego, CA, USA"],"affiliations":[{"raw_affiliation_string":"Center for Magnetic Recording Research, University of California, San Diego, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014421232","display_name":"P. Lee","orcid":"https://orcid.org/0000-0002-9089-4292"},"institutions":[{"id":"https://openalex.org/I4210121352","display_name":"Western Digital (United States)","ror":"https://ror.org/02hqwnx33","country_code":"US","type":"company","lineage":["https://openalex.org/I4210121352"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P. Lee","raw_affiliation_strings":["Western Digital Corporation, Lake Forest, CA, USA"],"affiliations":[{"raw_affiliation_string":"Western Digital Corporation, Lake Forest, CA, USA","institution_ids":["https://openalex.org/I4210121352"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5081639502"],"corresponding_institution_ids":["https://openalex.org/I36258959"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.13679223,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"150","last_page":"154"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9965000152587891,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9934999942779541,"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/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.7107894420623779},{"id":"https://openalex.org/keywords/probability-of-error","display_name":"Probability of error","score":0.6458374261856079},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6124631762504578},{"id":"https://openalex.org/keywords/weight-distribution","display_name":"Weight distribution","score":0.523926317691803},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46736642718315125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4436279535293579},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.417320191860199},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2869755029678345},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.2792541980743408},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.2531762719154358},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.196924090385437},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06666380167007446}],"concepts":[{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.7107894420623779},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.6458374261856079},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6124631762504578},{"id":"https://openalex.org/C25432639","wikidata":"https://www.wikidata.org/wiki/Q3711790","display_name":"Weight distribution","level":2,"score":0.523926317691803},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46736642718315125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4436279535293579},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.417320191860199},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2869755029678345},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2792541980743408},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.2531762719154358},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.196924090385437},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06666380167007446},{"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/itw.2006.1633800","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2006.1633800","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE Information Theory Workshop","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.139.3670","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.139.3670","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://vivaldi.ucsd.edu:8080/starpapers/han_itw06.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.139.958","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.139.958","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://vivaldi.ucsd.edu:8080/starpapers/han_it06.pdf","raw_type":"text"},{"id":"pmh:oai:escholarship.org/ark:/13030/qt6051p7qf","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/6051p7qf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Information Theory, vol 52, iss 8","raw_type":"article"},{"id":"pmh:qt6051p7qf","is_oa":false,"landing_page_url":"http://www.escholarship.org/uc/item/6051p7qf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Han, Junsheng S; Siegel, Paul H; & Lee, Patrick. (2006). On the probability of undetected error for overextended Reed-Solomon codes. IEEE Transactions on Information Theory, 52(8), 3662 - 3669. UC San Diego: Retrieved from: http://www.escholarship.org/uc/item/6051p7qf","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2003685682","https://openalex.org/W2012124590","https://openalex.org/W2022307734","https://openalex.org/W2027311745","https://openalex.org/W2040009340","https://openalex.org/W2096146462","https://openalex.org/W2108549388","https://openalex.org/W2138754237","https://openalex.org/W2162163774","https://openalex.org/W2488143187"],"related_works":["https://openalex.org/W2242362515","https://openalex.org/W2011403573","https://openalex.org/W2007625134","https://openalex.org/W1499116563","https://openalex.org/W1964624186","https://openalex.org/W2170348284","https://openalex.org/W3214311941","https://openalex.org/W3196742378","https://openalex.org/W1525837226","https://openalex.org/W2143482254"],"abstract_inverted_index":{"We":[0],"derive":[1],"upper":[2,21],"and":[3,22],"lower":[4,23],"bounds":[5,24],"on":[6,25,34],"the":[7,26],"weight":[8],"distribution":[9],"of":[10,28],"Over-Extended":[11],"Reed-Solomon":[12],"(OERS)":[13],"codes.":[14],"Using":[15],"these":[16],"bounds,":[17],"we":[18],"obtain":[19],"tight":[20],"probability":[27],"undetected":[29],"error":[30],"for":[31],"OERS":[32],"codes":[33],"q-ary":[35],"symmetric":[36],"channels.":[37]},"counts_by_year":[{"year":2015,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}