{"id":"https://openalex.org/W2803724614","doi":"https://doi.org/10.1109/tcomm.2018.2836445","title":"Explicit Constructions of High-Rate MSR Codes with Optimal Access Property over Small Finite Fields","display_name":"Explicit Constructions of High-Rate MSR Codes with Optimal Access Property over Small Finite Fields","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2803724614","doi":"https://doi.org/10.1109/tcomm.2018.2836445","mag":"2803724614"},"language":"en","primary_location":{"id":"doi:10.1109/tcomm.2018.2836445","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2018.2836445","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"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 Transactions on Communications","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/A5100330527","display_name":"Yi Liu","orcid":"https://orcid.org/0000-0002-4106-3484"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yi Liu","raw_affiliation_strings":["Information Security and National Computing Grid Laboratory, Southwest Jiaotong University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"Information Security and National Computing Grid Laboratory, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040606548","display_name":"Jie Li","orcid":"https://orcid.org/0000-0001-7147-4746"},"institutions":[{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Li","raw_affiliation_strings":["Hubei Key Laboratory of Applied Mathematics, Faculty of Mathematics and Statistics, Hubei University, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Hubei Key Laboratory of Applied Mathematics, Faculty of Mathematics and Statistics, Hubei University, Wuhan, China","institution_ids":["https://openalex.org/I75900474"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029840191","display_name":"Xiaohu Tang","orcid":"https://orcid.org/0000-0002-7938-7812"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaohu Tang","raw_affiliation_strings":["Information Security and National Computing Grid Laboratory, Southwest Jiaotong University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"Information Security and National Computing Grid Laboratory, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100330527"],"corresponding_institution_ids":["https://openalex.org/I4800084"],"apc_list":null,"apc_paid":null,"fwci":0.9227,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.77252541,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":1.0,"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":1.0,"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/T11478","display_name":"Caching and Content Delivery","score":0.9930999875068665,"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":0.9646000266075134,"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/node","display_name":"Node (physics)","score":0.5351831316947937},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5127385854721069},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4792249798774719},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4297105073928833},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4181209206581116},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.4118916988372803},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40346840023994446},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3855714499950409},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.374009370803833},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27356547117233276},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24958795309066772},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12530013918876648},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11919379234313965}],"concepts":[{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5351831316947937},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5127385854721069},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4792249798774719},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4297105073928833},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4181209206581116},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.4118916988372803},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40346840023994446},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3855714499950409},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.374009370803833},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27356547117233276},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24958795309066772},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12530013918876648},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11919379234313965},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcomm.2018.2836445","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2018.2836445","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"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 Transactions on Communications","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":30,"referenced_works":["https://openalex.org/W41204052","https://openalex.org/W154253821","https://openalex.org/W1494215701","https://openalex.org/W1647846156","https://openalex.org/W1991499930","https://openalex.org/W2017643135","https://openalex.org/W2056207853","https://openalex.org/W2058863419","https://openalex.org/W2069026918","https://openalex.org/W2105185344","https://openalex.org/W2147448550","https://openalex.org/W2148575324","https://openalex.org/W2150777202","https://openalex.org/W2168738664","https://openalex.org/W2337134433","https://openalex.org/W2492240243","https://openalex.org/W2580726118","https://openalex.org/W2743142859","https://openalex.org/W2963333438","https://openalex.org/W2963754880","https://openalex.org/W2963781977","https://openalex.org/W2964047354","https://openalex.org/W3101208098","https://openalex.org/W3101622563","https://openalex.org/W3101824114","https://openalex.org/W3106482607","https://openalex.org/W6601658435","https://openalex.org/W6606324823","https://openalex.org/W6629402156","https://openalex.org/W7049178751"],"related_works":["https://openalex.org/W3194471551","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W2784911598","https://openalex.org/W4297950433","https://openalex.org/W1973978937","https://openalex.org/W4287023968","https://openalex.org/W4288279572","https://openalex.org/W4286909116","https://openalex.org/W2964302506"],"abstract_inverted_index":{"Up":[0],"to":[1,110,217],"now,":[2],"many":[3],"(k":[4],"+":[5,88,132,198],"r,":[6,92],"k,":[7],"N)":[8],"minimum-storage":[9],"regenerating":[10],"(MSR)":[11],"codes":[12,47],"with":[13,61,128,194],"k":[14,168],"information":[15],"nodes,":[16,19],"r":[17,83,87,131,159,197,237],"parity":[18],"and":[20,106],"node":[21,113,148,224],"capacity":[22,149,225],"N":[23],"have":[24,175],"been":[25],"proposed.":[26],"However,":[27,164],"most":[28],"of":[29,99,150,158,170,226,236],"them":[30],"are":[31],"constructed":[32,70],"over":[33,48,71,123,189],"a":[34,156,234],"relatively":[35],"large":[36],"finite":[37,50,73],"field.":[38],"In":[39],"this":[40],"paper,":[41],"we":[42],"propose":[43],"three":[44],"high-rate":[45],"MSR":[46,55,117,183],"small":[49,72],"fields.":[51],"First,":[52],"the":[53,62,100,112,147,166,176,181,202,223],"new":[54,116,182],"code":[56,118,184],"C":[57,119,138,151,171,185,218,227],"<sub":[58,120,125,139,152,172,186,191,219,228],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[59,121,126,140,153,161,173,187,192,220,229,239],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[60,141,154,221],"optimal":[63,177,203],"access":[64,178,204],"property":[65,205],"for":[66,76,81,90,206],"all":[67,207],"nodes":[68,169,208],"is":[69,94,134,209,231],"field":[74],"Fq,":[75],"example":[77],"q":[78,85,129,195],"=":[79],"3":[80],"even":[82],"or":[84],"\u2265":[86,130,196],"1":[89],"odd":[91],"which":[93,143,200],"much":[95],"smaller":[96],"than":[97],"that":[98],"known":[101],"one":[102],"given":[103],"by":[104,155,211,233],"Ye":[105],"Barg.":[107],"Further,":[108],"considering":[109],"reduce":[111,146],"capacity,":[114],"another":[115],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[122,174],"F":[124,190],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</sub>":[127,193],"2":[133,199],"generated":[135],"based":[136],"on":[137],",":[142,222],"can":[144],"effectively":[145],"factor":[157,235],"<sup":[160,238],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">r-1</sup>":[162],".":[163,241],"only":[165],"first":[167],"property.":[179],"Therefore,":[180],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3</sub>":[188,230],"has":[201],"proposed":[210],"modifying":[212],"C2.":[213],"Notably,":[214],"in":[215],"contrast":[216],"decreased":[232],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">r-2</sup>":[240]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
