{"id":"https://openalex.org/W2048731384","doi":"https://doi.org/10.1109/tit.2009.2013024","title":"Cyclic Lowest Density MDS Array Codes","display_name":"Cyclic Lowest Density MDS Array Codes","publication_year":2009,"publication_date":"2009-03-19","ids":{"openalex":"https://openalex.org/W2048731384","doi":"https://doi.org/10.1109/tit.2009.2013024","mag":"2048731384"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2009.2013024","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2009.2013024","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/A5063057008","display_name":"Yuval Cassuto","orcid":"https://orcid.org/0000-0001-6369-6699"},"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"]},{"id":"https://openalex.org/I86725329","display_name":"Hitachi Global Storage Technologies (United States)","ror":"https://ror.org/02q0s1x22","country_code":"US","type":"company","lineage":["https://openalex.org/I86725329"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yuval Cassuto","raw_affiliation_strings":["Department of Electrical Engineering, California Institute of Technology, Pasadena, CA, USA","Hitachi Global Storage Technology, San Jose, CA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Hitachi Global Storage Technology, San Jose, CA","institution_ids":["https://openalex.org/I86725329"]}]},{"author_position":"last","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","Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063057008"],"corresponding_institution_ids":["https://openalex.org/I122411786","https://openalex.org/I86725329"],"apc_list":null,"apc_paid":null,"fwci":4.3506,"has_fulltext":false,"cited_by_count":68,"citation_normalized_percentile":{"value":0.94472698,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"55","issue":"4","first_page":"1721","last_page":"1729"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9994000196456909,"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":0.9954000115394592,"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/cyclic-code","display_name":"Cyclic code","score":0.6538071632385254},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.5795367956161499},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5548956394195557},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.5408769845962524},{"id":"https://openalex.org/keywords/cyclic-redundancy-check","display_name":"Cyclic redundancy check","score":0.5123378038406372},{"id":"https://openalex.org/keywords/minimum-distance","display_name":"Minimum distance","score":0.4263409376144409},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41671040654182434},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.41575708985328674},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.3771205544471741},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3693208694458008},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.34936320781707764},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34359806776046753},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3196396827697754},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.22081103920936584}],"concepts":[{"id":"https://openalex.org/C2096984","wikidata":"https://www.wikidata.org/wiki/Q245464","display_name":"Cyclic code","level":5,"score":0.6538071632385254},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5795367956161499},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5548956394195557},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.5408769845962524},{"id":"https://openalex.org/C137627569","wikidata":"https://www.wikidata.org/wiki/Q245471","display_name":"Cyclic redundancy check","level":3,"score":0.5123378038406372},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.4263409376144409},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41671040654182434},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.41575708985328674},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.3771205544471741},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3693208694458008},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.34936320781707764},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34359806776046753},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3196396827697754},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.22081103920936584},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tit.2009.2013024","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2009.2013024","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:14216","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20090514-113712174","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.485.9118","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.485.9118","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://paradise.caltech.edu/~ycassuto/publications/cyclic_array_journal.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309398","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1556443961","https://openalex.org/W1606480398","https://openalex.org/W2043509698","https://openalex.org/W2064759901","https://openalex.org/W2104812861","https://openalex.org/W2137291643","https://openalex.org/W2147323018","https://openalex.org/W2151897964","https://openalex.org/W2155469840","https://openalex.org/W2182112064"],"related_works":["https://openalex.org/W1968396483","https://openalex.org/W2037763716","https://openalex.org/W3094984211","https://openalex.org/W4297536019","https://openalex.org/W4243304385","https://openalex.org/W2362406576","https://openalex.org/W2100149990","https://openalex.org/W2950636389","https://openalex.org/W2134931385","https://openalex.org/W2090721735"],"abstract_inverted_index":{"Three":[0],"new":[1,36],"families":[2],"of":[3,49],"lowest":[4],"density":[5],"maximum-distance":[6],"separable":[7],"(MDS)":[8,24],"array":[9],"codes":[10,37,59,71],"are":[11,14,61,64],"constructed,":[12,65],"which":[13],"cyclic":[15,63,70],"or":[16],"quasi-cyclic.":[17],"In":[18],"addition":[19],"to":[20,69],"their":[21],"optimal":[22,26],"redundancy":[23],"and":[25,66],"update":[27],"complexity":[28],"(lowest":[29],"density),":[30],"the":[31,35,50],"symmetry":[32],"offered":[33],"by":[34,72],"can":[38],"be":[39],"utilized":[40],"for":[41],"simplified":[42],"implementation":[43],"in":[44],"storage":[45],"applications.":[46],"The":[47],"proof":[48],"code":[51],"properties":[52],"has":[53],"an":[54],"indirect":[55],"structure:":[56],"first":[57],"MDS":[58],"that":[60],"not":[62],"then":[67],"transformed":[68],"a":[73],"minimum-distance":[74],"preserving":[75],"transformation.":[76]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":14},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}