{"id":"https://openalex.org/W2963499895","doi":"https://doi.org/10.1109/isit.2018.8437512","title":"Explicit MSR Codes with Optimal Access, Optimal Sub-Packetization and Small Field Size for &lt;tex&gt;$d=k+1, k+2, k+3$&lt;/tex&gt;","display_name":"Explicit MSR Codes with Optimal Access, Optimal Sub-Packetization and Small Field Size for &lt;tex&gt;$d=k+1, k+2, k+3$&lt;/tex&gt;","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2963499895","doi":"https://doi.org/10.1109/isit.2018.8437512","mag":"2963499895"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2018.8437512","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2018.8437512","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-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/A5048702271","display_name":"Myna Vajha","orcid":"https://orcid.org/0000-0002-7770-2583"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Myna Vajha","raw_affiliation_strings":["Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112344044","display_name":"Balaji Srinivasan Babu","orcid":null},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Balaji Srinivasan Babu","raw_affiliation_strings":["Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000294837","display_name":"P. Vijay Kumar","orcid":"https://orcid.org/0000-0003-0990-2847"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"P. Vijay Kumar","raw_affiliation_strings":["Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore","institution_ids":["https://openalex.org/I59270414"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048702271"],"corresponding_institution_ids":["https://openalex.org/I59270414"],"apc_list":null,"apc_paid":null,"fwci":1.3031,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.8591301,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"abs 1607 7335","issue":null,"first_page":"2376","last_page":"2380"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9990000128746033,"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":0.9990000128746033,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9988999962806702,"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":0.9926000237464905,"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/code","display_name":"Code (set theory)","score":0.5908264517784119},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.577658474445343},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5041917562484741},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.45487532019615173},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4497624337673187},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4468626379966736},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4251366853713989},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3977227509021759},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3659185767173767},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12394320964813232},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08649832010269165},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07544258236885071}],"concepts":[{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5908264517784119},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.577658474445343},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5041917562484741},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45487532019615173},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4497624337673187},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4468626379966736},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4251366853713989},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3977227509021759},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3659185767173767},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12394320964813232},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08649832010269165},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07544258236885071},{"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:10.1109/isit.2018.8437512","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2018.8437512","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1977073502","https://openalex.org/W1991499930","https://openalex.org/W2069026918","https://openalex.org/W2078872683","https://openalex.org/W2105185344","https://openalex.org/W2112010519","https://openalex.org/W2150777202","https://openalex.org/W2154063365","https://openalex.org/W2492240243","https://openalex.org/W2606114015","https://openalex.org/W2743142859","https://openalex.org/W2795562868","https://openalex.org/W2963333438","https://openalex.org/W2963362241","https://openalex.org/W2963754880","https://openalex.org/W2963781977","https://openalex.org/W3099001712","https://openalex.org/W3101824114","https://openalex.org/W3106482607","https://openalex.org/W6648307236","https://openalex.org/W6722678105","https://openalex.org/W6745275642"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2980963558","https://openalex.org/W2893614166","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W1976691234","https://openalex.org/W3212023493","https://openalex.org/W2964302506"],"abstract_inverted_index":{"This":[0],"paper":[1,68],"presents":[2],"the":[3,22,42,46,63,70],"construction":[4,44],"of":[5,41,74],"an":[6],"explicit,":[7],"optimal-access,":[8],"high-rate":[9],"MSR":[10,75],"code":[11],"for":[12],"any":[13],"(n,":[14],"k,":[15],"d=k+":[16],"1,":[17],"k+2,":[18],"k+3)":[19],"parameters":[20],"over":[21],"finite":[23],"field":[24,85],"\\mathbbFQ":[25],"having":[26,78],"sub-packetization":[27,40],"\u03b1":[28],"=":[29],"q":[30],"<sup":[31],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[32],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">[n/(q)]</sup>":[33],",":[34],"where":[35],"q=d-k+1":[36],"and":[37,83],"Q=O(n).":[38],"The":[39],"current":[43],"meets":[45],"lower":[47],"bound":[48],"proven":[49],"in":[50,58,66],"a":[51],"recent":[52],"work":[53],"by":[54],"Balaji":[55],"et":[56],"al.":[57],"[1].":[59],"To":[60],"our":[61],"understanding":[62],"codes":[64,76],"presented":[65],"this":[67],"are":[69],"first":[71],"explicit":[72],"constructions":[73],"with":[77],"optimal":[79,81],"sub-packetization,":[80],"access":[82],"small":[84],"size.":[86]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}