{"id":"https://openalex.org/W3106961309","doi":"https://doi.org/10.1109/lcomm.2020.3041271","title":"Repeated-Root Constacyclic Codes With Pair-Metric","display_name":"Repeated-Root Constacyclic Codes With Pair-Metric","publication_year":2020,"publication_date":"2020-11-30","ids":{"openalex":"https://openalex.org/W3106961309","doi":"https://doi.org/10.1109/lcomm.2020.3041271","mag":"3106961309"},"language":"en","primary_location":{"id":"doi:10.1109/lcomm.2020.3041271","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2020.3041271","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications Letters","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/A5101671770","display_name":"Wei Zhao","orcid":"https://orcid.org/0000-0002-5970-506X"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210116924","display_name":"Chinese University of Hong Kong, Shenzhen","ror":"https://ror.org/02d5ks197","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633","https://openalex.org/I180726961","https://openalex.org/I4210116924"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Zhao","raw_affiliation_strings":["School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen, Shenzhen, China","University of Science and Technology of China, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0002-5970-506X","affiliations":[{"raw_affiliation_string":"School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen, Shenzhen, China","institution_ids":["https://openalex.org/I4210116924"]},{"raw_affiliation_string":"University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054079306","display_name":"Shenghao Yang","orcid":"https://orcid.org/0000-0003-1987-5643"},"institutions":[{"id":"https://openalex.org/I4210099586","display_name":"Shenzhen Research Institute of Big Data","ror":"https://ror.org/00z1gwf89","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210099586"]},{"id":"https://openalex.org/I4210116924","display_name":"Chinese University of Hong Kong, Shenzhen","ror":"https://ror.org/02d5ks197","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633","https://openalex.org/I180726961","https://openalex.org/I4210116924"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shenghao Yang","raw_affiliation_strings":["School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen, Shenzhen, China","Shenzhen Key Laboratory of IoT Intelligent Systems and Wireless Network Technology, The Chinese University of Hong Kong, Shenzhen, Shenzhen, China","Shenzhen Research Institute of Big Data, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0003-1987-5643","affiliations":[{"raw_affiliation_string":"School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen, Shenzhen, China","institution_ids":["https://openalex.org/I4210116924"]},{"raw_affiliation_string":"Shenzhen Key Laboratory of IoT Intelligent Systems and Wireless Network Technology, The Chinese University of Hong Kong, Shenzhen, Shenzhen, China","institution_ids":["https://openalex.org/I4210116924"]},{"raw_affiliation_string":"Shenzhen Research Institute of Big Data, Shenzhen, China","institution_ids":["https://openalex.org/I4210099586"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103017634","display_name":"Kenneth W. Shum","orcid":"https://orcid.org/0000-0001-6505-6177"},"institutions":[{"id":"https://openalex.org/I4210116924","display_name":"Chinese University of Hong Kong, Shenzhen","ror":"https://ror.org/02d5ks197","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633","https://openalex.org/I180726961","https://openalex.org/I4210116924"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kenneth W. Shum","raw_affiliation_strings":["School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen, Shenzhen, China","institution_ids":["https://openalex.org/I4210116924"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029138996","display_name":"Xilin Tang","orcid":"https://orcid.org/0009-0000-1270-1056"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xilin Tang","raw_affiliation_strings":["School of Mathematics, South China University of Technology, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101671770"],"corresponding_institution_ids":["https://openalex.org/I126520041","https://openalex.org/I4210116924"],"apc_list":null,"apc_paid":null,"fwci":0.2718,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.65762894,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"25","issue":"8","first_page":"2502","last_page":"2506"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9991999864578247,"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":0.9969000220298767,"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/hamming-code","display_name":"Hamming code","score":0.6976227760314941},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.6025006771087646},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5847068428993225},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5835519433021545},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.5641645789146423},{"id":"https://openalex.org/keywords/hamming-bound","display_name":"Hamming bound","score":0.5253697633743286},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.522869348526001},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5109785795211792},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5099056959152222},{"id":"https://openalex.org/keywords/symbol","display_name":"Symbol (formal)","score":0.49584445357322693},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.47433537244796753},{"id":"https://openalex.org/keywords/prefix-code","display_name":"Prefix code","score":0.45788446068763733},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2604888379573822},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2367875874042511},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.12428626418113708},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.07149630784988403}],"concepts":[{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.6976227760314941},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.6025006771087646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5847068428993225},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5835519433021545},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5641645789146423},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.5253697633743286},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.522869348526001},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5109785795211792},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5099056959152222},{"id":"https://openalex.org/C134400042","wikidata":"https://www.wikidata.org/wiki/Q2372244","display_name":"Symbol (formal)","level":2,"score":0.49584445357322693},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.47433537244796753},{"id":"https://openalex.org/C20079647","wikidata":"https://www.wikidata.org/wiki/Q1278039","display_name":"Prefix code","level":5,"score":0.45788446068763733},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2604888379573822},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2367875874042511},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.12428626418113708},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.07149630784988403},{"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":1,"locations":[{"id":"doi:10.1109/lcomm.2020.3041271","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2020.3041271","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.5}],"awards":[{"id":"https://openalex.org/G1738987912","display_name":null,"funder_award_id":"11971175","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3727466348","display_name":null,"funder_award_id":"61471215","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4689138817","display_name":null,"funder_award_id":"UDF01000918","funder_id":"https://openalex.org/F4320322942","funder_display_name":"Chinese University of Hong Kong"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322942","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1917095352","https://openalex.org/W2018568180","https://openalex.org/W2058283536","https://openalex.org/W2085476196","https://openalex.org/W2092031626","https://openalex.org/W2098158374","https://openalex.org/W2102447809","https://openalex.org/W2165780044","https://openalex.org/W2735920813","https://openalex.org/W2783897521","https://openalex.org/W2891359051","https://openalex.org/W2963311024","https://openalex.org/W2964265029","https://openalex.org/W4206775542"],"related_works":["https://openalex.org/W2371167013","https://openalex.org/W1964096323","https://openalex.org/W4302771537","https://openalex.org/W2740543340","https://openalex.org/W2119135810","https://openalex.org/W2951416090","https://openalex.org/W2105471374","https://openalex.org/W2008960744","https://openalex.org/W2014631828","https://openalex.org/W2964136540"],"abstract_inverted_index":{"Symbol-pair":[0],"codes":[1,4,39,68,130,145,158],"are":[2,10],"block":[3],"when":[5],"considering":[6],"the":[7,18,32,77,109,111,115,118,120,138,151,160],"pair-metric,":[8],"and":[9,84,137],"designed":[11],"to":[12],"protect":[13],"against":[14],"pair-errors":[15],"occur":[16],"in":[17,69],"pair-read":[19],"vector":[20],"which":[21,75],"consisting":[22],"of":[23,26,34,51,62,65,71,92,114,127,142,154],"overlapping":[24],"pairs":[25],"symbols.":[27],"A":[28],"code":[29,103,112,116,121,135,148,152],"that":[30],"achieves":[31],"analog":[33],"Singleton":[35],"bound":[36,61,79],"for":[37,99],"symbol-pair":[38,47,94,102,129,144,157],"is":[40,54],"called":[41],"a":[42,59,105],"maximum":[43],"distance":[44],"separable":[45],"(MDS)":[46],"code.":[48],"The":[49,124],"contribution":[50],"this":[52],"letter":[53],"twofold.":[55],"First,":[56],"we":[57,87,97,131],"give":[58,88],"lower":[60,78],"minimum":[63,72,107,162],"pair-distance":[64,163],"repeated-root":[66],"constacyclic":[67],"terms":[70],"Hamming":[73],"distance,":[74],"extends":[76],"given":[80],"by":[81],"Chen,":[82],"Lin":[83],"Liu.":[85],"Second,":[86],"three":[89],"new":[90],"classes":[91,141],"MDS":[93,101,128,143,156],"codes.":[95],"As":[96],"know,":[98],"an":[100],"with":[104],"fixed":[106],"pair-distance,":[108],"larger":[110,147],"length":[113,136],"has,":[117],"higher":[119],"rate":[122],"is.":[123],"first":[125],"class":[126],"show":[132],"has":[133],"unbounded":[134],"other":[139],"two":[140],"have":[146],"lengths":[149,153],"than":[150],"existing":[155],"under":[159],"same":[161],"6.":[164]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}