{"id":"https://openalex.org/W1625022824","doi":"https://doi.org/10.1109/lcomm.2015.2464379","title":"Lowest Density MDS Array Codes of Distance 3","display_name":"Lowest Density MDS Array Codes of Distance 3","publication_year":2015,"publication_date":"2015-08-04","ids":{"openalex":"https://openalex.org/W1625022824","doi":"https://doi.org/10.1109/lcomm.2015.2464379","mag":"1625022824"},"language":"en","primary_location":{"id":"doi:10.1109/lcomm.2015.2464379","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2015.2464379","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/A5100757966","display_name":"Zhijie Huang","orcid":"https://orcid.org/0009-0008-9686-4634"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhijie Huang","raw_affiliation_strings":["School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan, China","School of Computer Sci. & Tech. Huazhong Univ. of Sci. & Tech., Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"School of Computer Sci. & Tech. Huazhong Univ. of Sci. & Tech., Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054285749","display_name":"Hong Jiang","orcid":"https://orcid.org/0000-0002-1477-9751"},"institutions":[{"id":"https://openalex.org/I189196454","display_name":"The University of Texas at Arlington","ror":"https://ror.org/019kgqr73","country_code":"US","type":"education","lineage":["https://openalex.org/I189196454"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hong Jiang","raw_affiliation_strings":["Department of Computer Science and Engineering, University of Texas at Arlington, TX, USA","[Department of Computer Science & Engineering, University of Texas at Arlington, Arlington, TX, USA]"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, University of Texas at Arlington, TX, USA","institution_ids":["https://openalex.org/I189196454"]},{"raw_affiliation_string":"[Department of Computer Science & Engineering, University of Texas at Arlington, Arlington, TX, USA]","institution_ids":["https://openalex.org/I189196454"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015061573","display_name":"Ke Zhou","orcid":"https://orcid.org/0000-0002-2161-8796"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ke Zhou","raw_affiliation_strings":["School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan, China","School of Computer Sci. & Tech. Huazhong Univ. of Sci. & Tech., Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"School of Computer Sci. & Tech. Huazhong Univ. of Sci. & Tech., Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109974111","display_name":"Yuhong Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuhong Zhao","raw_affiliation_strings":["School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan, China","School of Computer Sci. & Tech. Huazhong Univ. of Sci. & Tech., Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"School of Computer Sci. & Tech. Huazhong Univ. of Sci. & Tech., Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100329466","display_name":"Chong Wang","orcid":"https://orcid.org/0000-0003-1424-6290"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chong Wang","raw_affiliation_strings":["School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan, China","School of Computer Sci. & Tech. Huazhong Univ. of Sci. & Tech., Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"School of Computer Sci. & Tech. Huazhong Univ. of Sci. & Tech., Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100757966"],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":1.0141,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.78855771,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"19","issue":"10","first_page":"1670","last_page":"1673"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9984999895095825,"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":0.9934999942779541,"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/erasure-code","display_name":"Erasure code","score":0.791845440864563},{"id":"https://openalex.org/keywords/erasure","display_name":"Erasure","score":0.6538112759590149},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6111025810241699},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5968005657196045},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.5821825265884399},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5037533640861511},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.48131263256073},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.47906336188316345},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46554645895957947},{"id":"https://openalex.org/keywords/tornado-code","display_name":"Tornado code","score":0.45082777738571167},{"id":"https://openalex.org/keywords/minimum-distance","display_name":"Minimum distance","score":0.43023034930229187},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4297845959663391},{"id":"https://openalex.org/keywords/luby-transform-code","display_name":"Luby transform code","score":0.4294571876525879},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41689029335975647},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.4018704891204834},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3986000716686249},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3908747136592865},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3880648612976074},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.32071077823638916}],"concepts":[{"id":"https://openalex.org/C137529215","wikidata":"https://www.wikidata.org/wiki/Q5385031","display_name":"Erasure code","level":3,"score":0.791845440864563},{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.6538112759590149},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6111025810241699},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5968005657196045},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5821825265884399},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5037533640861511},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.48131263256073},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.47906336188316345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46554645895957947},{"id":"https://openalex.org/C65058987","wikidata":"https://www.wikidata.org/wiki/Q7826005","display_name":"Tornado code","level":5,"score":0.45082777738571167},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.43023034930229187},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4297845959663391},{"id":"https://openalex.org/C128151799","wikidata":"https://www.wikidata.org/wiki/Q13563306","display_name":"Luby transform code","level":5,"score":0.4294571876525879},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41689029335975647},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.4018704891204834},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3986000716686249},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3908747136592865},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3880648612976074},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.32071077823638916},{"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},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcomm.2015.2464379","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2015.2464379","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":[],"awards":[{"id":"https://openalex.org/G4111896966","display_name":null,"funder_award_id":"CNS-1116606","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5099833248","display_name":null,"funder_award_id":"61232004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7591817966","display_name":null,"funder_award_id":"CNS-1016609","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"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W230407768","https://openalex.org/W1622719107","https://openalex.org/W1967651570","https://openalex.org/W2048731384","https://openalex.org/W2055835320","https://openalex.org/W2069026918","https://openalex.org/W2104812861","https://openalex.org/W2114708944","https://openalex.org/W2137291643","https://openalex.org/W2147448550","https://openalex.org/W2151897964","https://openalex.org/W2156984829","https://openalex.org/W2161234420","https://openalex.org/W2556661700","https://openalex.org/W4253892712","https://openalex.org/W6636645890","https://openalex.org/W6683682350"],"related_works":["https://openalex.org/W2982181605","https://openalex.org/W2053950481","https://openalex.org/W2744779861","https://openalex.org/W2147527217","https://openalex.org/W2127908002","https://openalex.org/W2963850532","https://openalex.org/W2113562070","https://openalex.org/W2130150152","https://openalex.org/W2160013356","https://openalex.org/W2728202614"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2],"new":[3],"family":[4],"of":[5,11,31,69],"maximum-distance":[6],"separable":[7],"(MDS)":[8],"array":[9,55],"codes":[10,56],"distance":[12],"3,":[13],"called":[14],"S(ymmetry)-Code,":[15],"which":[16],"has":[17],"the":[18,63,73],"properties":[19],"of:":[20],"1)":[21],"optimality":[22],"in":[23,66],"encoding,":[24],"decoding":[25],"and":[26,60],"update;":[27],"2)":[28],"code":[29,74],"length":[30,75],"either":[32],"p":[33,35,39],"or":[34],"-":[36],"1":[37],"with":[38],"being":[40],"an":[41],"odd":[42],"prime;":[43],"3)":[44],"requiring":[45],"less":[46],"I/O":[47,67],"cost":[48,68],"than":[49],"most":[50],"existing":[51],"lowest":[52],"density":[53],"MDS":[54],"during":[57],"single-erasure":[58,70],"recovery;":[59],"4)":[61],"approaching":[62],"lower":[64],"bound":[65],"recovery":[71],"when":[72],"is":[76],"small.":[77]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
