{"id":"https://openalex.org/W4308965115","doi":"https://doi.org/10.1007/s10623-022-01148-7","title":"Perfect LRCs and k-optimal LRCs","display_name":"Perfect LRCs and k-optimal LRCs","publication_year":2022,"publication_date":"2022-11-14","ids":{"openalex":"https://openalex.org/W4308965115","doi":"https://doi.org/10.1007/s10623-022-01148-7"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-022-01148-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-022-01148-7","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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/A5018855940","display_name":"Weijun Fang","orcid":"https://orcid.org/0000-0003-4121-290X"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]},{"id":"https://openalex.org/I4210127567","display_name":"Yancheng Third People's Hospital","ror":"https://ror.org/030cwsf88","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210127567"]},{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weijun Fang","raw_affiliation_strings":["Key Laboratory of Cryptologic Technology and Information Security, Ministry of Education, Shandong University, Qingdao, 266237, People\u2019s Republic of China","Quancheng Laboratory, Jinan, 250103, People\u2019s Republic of China","School of Cyber Science and Technology, Shandong University, Qingdao, 266237, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Cryptologic Technology and Information Security, Ministry of Education, Shandong University, Qingdao, 266237, People\u2019s Republic of China","institution_ids":["https://openalex.org/I154099455"]},{"raw_affiliation_string":"Quancheng Laboratory, Jinan, 250103, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210127567"]},{"raw_affiliation_string":"School of Cyber Science and Technology, Shandong University, Qingdao, 266237, People\u2019s Republic of China","institution_ids":["https://openalex.org/I80143920"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100427338","display_name":"Bin Chen","orcid":"https://orcid.org/0000-0002-4798-230X"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]},{"id":"https://openalex.org/I4210114441","display_name":"Zhejiang Provincial Public Security Department","ror":"https://ror.org/01z3tch16","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210114441"]},{"id":"https://openalex.org/I4210136793","display_name":"Peng Cheng Laboratory","ror":"https://ror.org/03qdqbt06","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210136793"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bin Chen","raw_affiliation_strings":["Department of Computer Science and Technology, Harbin Institute of Technology, Shenzhen, 518055, People\u2019s Republic of China","Guangdong Provincial Key Laboratory of Novel Security Intelligence Technologies, Shenzhen, 518055, People\u2019s Republic of China","Research Center of Artificial Intelligence, Peng Cheng Laboratory, Shenzhen, 518055, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, Harbin Institute of Technology, Shenzhen, 518055, People\u2019s Republic of China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Guangdong Provincial Key Laboratory of Novel Security Intelligence Technologies, Shenzhen, 518055, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210114441"]},{"raw_affiliation_string":"Research Center of Artificial Intelligence, Peng Cheng Laboratory, Shenzhen, 518055, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210136793"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100513871","display_name":"Shu-Tao Xia","orcid":null},"institutions":[{"id":"https://openalex.org/I3131625388","display_name":"University Town of Shenzhen","ror":"https://ror.org/05f5j6225","country_code":"CN","type":"education","lineage":["https://openalex.org/I3131625388"]},{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shu-Tao Xia","raw_affiliation_strings":["Shenzhen International Graduate School, Tsinghua University, Shenzhen, 518055, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Shenzhen International Graduate School, Tsinghua University, Shenzhen, 518055, People\u2019s Republic of China","institution_ids":["https://openalex.org/I3131625388","https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063946169","display_name":"Fang\u2010Wei Fu","orcid":"https://orcid.org/0000-0002-9696-8977"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fang-Wei Fu","raw_affiliation_strings":["Chern Institute of Mathematics and LPMC, and Tianjin Key Laboratory of Network and Data Security Technology, Nankai University, Tianjin, 300071, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Chern Institute of Mathematics and LPMC, and Tianjin Key Laboratory of Network and Data Security Technology, Nankai University, Tianjin, 300071, People\u2019s Republic of China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100340508","display_name":"Xiangyu Chen","orcid":"https://orcid.org/0000-0002-0648-9164"},"institutions":[{"id":"https://openalex.org/I2250955327","display_name":"Huawei Technologies (China)","ror":"https://ror.org/00cmhce21","country_code":"CN","type":"company","lineage":["https://openalex.org/I2250955327"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangyu Chen","raw_affiliation_strings":["HUAWEI Technologies Co., Ltd., Shenzhen, 518055, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"HUAWEI Technologies Co., Ltd., Shenzhen, 518055, People\u2019s Republic of China","institution_ids":["https://openalex.org/I2250955327"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100427338"],"corresponding_institution_ids":["https://openalex.org/I204983213","https://openalex.org/I4210114441","https://openalex.org/I4210136793"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.7097,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.72319717,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"91","issue":"4","first_page":"1209","last_page":"1232"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9994000196456909,"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":0.9994000196456909,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9922999739646912,"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":0.9922000169754028,"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/mathematics","display_name":"Mathematics","score":0.6976127028465271},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6445369720458984},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.6156945824623108},{"id":"https://openalex.org/keywords/hamming-bound","display_name":"Hamming bound","score":0.5984863638877869},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5449354648590088},{"id":"https://openalex.org/keywords/coding-theory","display_name":"Coding theory","score":0.5390111804008484},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5060765147209167},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4985349178314209},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4871620833873749},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.4633287787437439},{"id":"https://openalex.org/keywords/finite-geometry","display_name":"Finite geometry","score":0.46247541904449463},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.23133307695388794},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21281379461288452},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20290043950080872},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16898119449615479},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.14185300469398499},{"id":"https://openalex.org/keywords/projective-space","display_name":"Projective space","score":0.11645248532295227},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.09576603770256042}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6976127028465271},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6445369720458984},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.6156945824623108},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.5984863638877869},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5449354648590088},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.5390111804008484},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5060765147209167},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4985349178314209},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4871620833873749},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.4633287787437439},{"id":"https://openalex.org/C44139724","wikidata":"https://www.wikidata.org/wiki/Q1077896","display_name":"Finite geometry","level":4,"score":0.46247541904449463},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.23133307695388794},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21281379461288452},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20290043950080872},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16898119449615479},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.14185300469398499},{"id":"https://openalex.org/C75280867","wikidata":"https://www.wikidata.org/wiki/Q877775","display_name":"Projective space","level":3,"score":0.11645248532295227},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.09576603770256042},{"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},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-022-01148-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-022-01148-7","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1199482300","display_name":null,"funder_award_id":"2021A1515110066","funder_id":"https://openalex.org/F4320337111","funder_display_name":"Basic and Applied Basic Research Foundation of Guangdong Province"},{"id":"https://openalex.org/G1677507391","display_name":null,"funder_award_id":"2021YFA1001000","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G5563798569","display_name":null,"funder_award_id":"12141108","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7511118009","display_name":null,"funder_award_id":"2018YFA0704703","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G8545864784","display_name":null,"funder_award_id":"62201322","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320337111","display_name":"Basic and Applied Basic Research Foundation of Guangdong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1499271983","https://openalex.org/W1606480398","https://openalex.org/W1957362188","https://openalex.org/W1993830711","https://openalex.org/W2017346026","https://openalex.org/W2026526689","https://openalex.org/W2043888621","https://openalex.org/W2050500290","https://openalex.org/W2124113125","https://openalex.org/W2155418912","https://openalex.org/W2210977112","https://openalex.org/W2339524574","https://openalex.org/W2510019121","https://openalex.org/W2593205974","https://openalex.org/W2885726234","https://openalex.org/W2897751861","https://openalex.org/W2914705057","https://openalex.org/W2962775071","https://openalex.org/W2962781678","https://openalex.org/W2963431689","https://openalex.org/W2963503165","https://openalex.org/W2963754206","https://openalex.org/W2963890921","https://openalex.org/W2963911258","https://openalex.org/W2972087398","https://openalex.org/W2975743237","https://openalex.org/W3010113848","https://openalex.org/W3010151182","https://openalex.org/W3011216855","https://openalex.org/W3081202096","https://openalex.org/W3081302724","https://openalex.org/W3083398082","https://openalex.org/W3095793903","https://openalex.org/W3103400821","https://openalex.org/W3103443408","https://openalex.org/W3104559424","https://openalex.org/W3165372435","https://openalex.org/W4205545339"],"related_works":["https://openalex.org/W2371167013","https://openalex.org/W4302771537","https://openalex.org/W1964096323","https://openalex.org/W2740543340","https://openalex.org/W2951416090","https://openalex.org/W2119135810","https://openalex.org/W2008960744","https://openalex.org/W2014631828","https://openalex.org/W2614506317","https://openalex.org/W2105471374"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}