{"id":"https://openalex.org/W2297946362","doi":"https://doi.org/10.1109/tit.2016.2522434","title":"Constructions and Decoding of Cyclic Codes Over &lt;inline-formula&gt; &lt;tex-math notation=\"LaTeX\"&gt;$b$ &lt;/tex-math&gt; &lt;/inline-formula&gt;-Symbol Read Channels","display_name":"Constructions and Decoding of Cyclic Codes Over &lt;inline-formula&gt; &lt;tex-math notation=\"LaTeX\"&gt;$b$ &lt;/tex-math&gt; &lt;/inline-formula&gt;-Symbol Read Channels","publication_year":2016,"publication_date":"2016-01-27","ids":{"openalex":"https://openalex.org/W2297946362","doi":"https://doi.org/10.1109/tit.2016.2522434","mag":"2297946362"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2016.2522434","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2522434","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/A5021586372","display_name":"Eitan Yaakobi","orcid":"https://orcid.org/0000-0002-9851-5234"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Eitan Yaakobi","raw_affiliation_strings":["Department of Computer Science, Technion\u2013Israel Institute of Technology, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technion\u2013Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043861677","display_name":"Jehoshua Bruck","orcid":"https://orcid.org/0000-0001-8474-0812"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jehoshua Bruck","raw_affiliation_strings":["Department of Electrical Engineering, California Institute of Technology, Pasadena, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","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":"Paul H. Siegel","raw_affiliation_strings":["Center for Magnetic Recording Research, University of California at San Diego, La Jolla, CA, USA"],"affiliations":[{"raw_affiliation_string":"Center for Magnetic Recording Research, University of California at San Diego, La Jolla, CA, USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021586372"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":9.3251,"has_fulltext":false,"cited_by_count":91,"citation_normalized_percentile":{"value":0.98066762,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"62","issue":"4","first_page":"1541","last_page":"1551"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9988999962806702,"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/T11130","display_name":"Coding theory and cryptography","score":0.9983999729156494,"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/hamming-distance","display_name":"Hamming distance","score":0.7972566485404968},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.733542799949646},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6774423122406006},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5852859020233154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4862888753414154},{"id":"https://openalex.org/keywords/hamming-bound","display_name":"Hamming bound","score":0.48133882880210876},{"id":"https://openalex.org/keywords/symbol","display_name":"Symbol (formal)","score":0.473588764667511},{"id":"https://openalex.org/keywords/cyclic-code","display_name":"Cyclic code","score":0.4664176404476166},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.46199750900268555},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44805267453193665},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41344499588012695},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3760313391685486},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28714293241500854},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.25568872690200806},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.12477388978004456}],"concepts":[{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.7972566485404968},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.733542799949646},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6774423122406006},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5852859020233154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4862888753414154},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.48133882880210876},{"id":"https://openalex.org/C134400042","wikidata":"https://www.wikidata.org/wiki/Q2372244","display_name":"Symbol (formal)","level":2,"score":0.473588764667511},{"id":"https://openalex.org/C2096984","wikidata":"https://www.wikidata.org/wiki/Q245464","display_name":"Cyclic code","level":5,"score":0.4664176404476166},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.46199750900268555},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44805267453193665},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41344499588012695},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3760313391685486},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28714293241500854},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.25568872690200806},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.12477388978004456},{"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":2,"locations":[{"id":"doi:10.1109/tit.2016.2522434","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2522434","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:authors.library.caltech.edu:66468","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20160426-074534474","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","score":0.8299999833106995,"id":"https://metadata.un.org/sdg/4"}],"awards":[{"id":"https://openalex.org/G6013218678","display_name":null,"funder_award_id":"CCF-1116739","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6498293071","display_name":null,"funder_award_id":"CCF-1405119","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1486212612","https://openalex.org/W1969151232","https://openalex.org/W1976090498","https://openalex.org/W2002410252","https://openalex.org/W2008395207","https://openalex.org/W2018568180","https://openalex.org/W2022444977","https://openalex.org/W2034436218","https://openalex.org/W2042422793","https://openalex.org/W2049946638","https://openalex.org/W2058283536","https://openalex.org/W2076424453","https://openalex.org/W2085476196","https://openalex.org/W2086720637","https://openalex.org/W2088310213","https://openalex.org/W2092031626","https://openalex.org/W2165780044","https://openalex.org/W2170484108","https://openalex.org/W2895239415","https://openalex.org/W6628998357"],"related_works":["https://openalex.org/W2184059163","https://openalex.org/W2110798623","https://openalex.org/W2141158404","https://openalex.org/W2348746730","https://openalex.org/W4246247137","https://openalex.org/W2534813806","https://openalex.org/W2363317838","https://openalex.org/W2963553930","https://openalex.org/W2901528597","https://openalex.org/W2167887731"],"abstract_inverted_index":{"Symbol-pair":[0],"read":[1,9,182],"channels,":[2],"in":[3,35,45],"which":[4,67],"the":[5,8,29,32,50,53,63,69,80,100,135,161,170,178,181],"outputs":[6],"of":[7,13,31,57,79,191,198],"process":[10,34],"are":[11],"pairs":[12],"consecutive":[14,192],"symbols,":[15,193],"were":[16],"recently":[17],"studied":[18,42],"by":[19,28],"Cassuto":[20],"and":[21,62,194,202],"Blaum.":[22],"This":[23],"new":[24,47],"paradigm":[25],"is":[26,68,105,139,185],"motivated":[27],"limitations":[30],"reading":[33],"high":[36],"density":[37],"data":[38],"storage":[39],"systems.":[40],"They":[41],"error":[43,59,166],"correction":[44],"this":[46,114,206],"paradigm,":[48],"specifically,":[49],"relationship":[51],"between":[52,73],"minimum":[54,64,70,92,102,127,136,172],"Hamming":[55,71,93,128],"distance":[56,72,94,104,129,138,158],"an":[58],"correcting":[60,167],"code":[61,90,124,203],"pair":[65,103,137,173],"distance,":[66],"symbol-pair":[74,165],"vectors":[75],"derived":[76],"from":[77],"codewords":[78],"code.":[81],"It":[82],"was":[83],"proved":[84],"that":[85],"for":[86,119,160],"a":[87,120,126,151,156,186],"linear":[88,122],"cyclic":[89,123,162],"with":[91,125],"d":[95,108,130,142],"<sub":[96,109,131,143],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[97,110,132,144],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">H</sub>":[98,111,133,145],",":[99,134],"corresponding":[101],"at":[106,140],"least":[107,141],"+3.":[112],"In":[113],"paper,":[115],"we":[116,176,195],"show":[117],"that,":[118],"given":[121],"+":[146],"(dH/2).":[147],"We":[148],"then":[149],"describe":[150],"decoding":[152],"algorithm,":[153],"based":[154],"upon":[155],"bounded":[157],"decoder":[159],"code,":[163],"whose":[164],"capabilities":[168],"reflect":[169],"larger":[171,187],"distance.":[174],"Finally,":[175],"consider":[177],"case":[179],"where":[180],"channel":[183],"output":[184],"number,":[188],"b":[189],"\u22653,":[190],"provide":[196],"extensions":[197],"several":[199],"concepts,":[200],"results,":[201],"constructions":[204],"to":[205],"setting.":[207]},"counts_by_year":[{"year":2025,"cited_by_count":17},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}