{"id":"https://openalex.org/W4388177998","doi":"https://doi.org/10.1155/2023/9952813","title":"Construction of a Class of Real Array Rank Distance Codes","display_name":"Construction of a Class of Real Array Rank Distance Codes","publication_year":2023,"publication_date":"2023-10-28","ids":{"openalex":"https://openalex.org/W4388177998","doi":"https://doi.org/10.1155/2023/9952813"},"language":"en","primary_location":{"id":"doi:10.1155/2023/9952813","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/9952813","pdf_url":"https://downloads.hindawi.com/journals/jece/2023/9952813.pdf","source":{"id":"https://openalex.org/S174662166","display_name":"Journal of Electrical and Computer Engineering","issn_l":"2090-0147","issn":["2090-0147","2090-0155"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Electrical and Computer Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jece/2023/9952813.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017762883","display_name":"N. Suresh Babu","orcid":"https://orcid.org/0000-0002-7847-5597"},"institutions":[{"id":"https://openalex.org/I158338959","display_name":"University of Kerala","ror":"https://ror.org/05tqa9940","country_code":"IN","type":"education","lineage":["https://openalex.org/I158338959"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"N. Suresh Babu","raw_affiliation_strings":["Department of Mathematics, University College, University of Kerala, Thiruvananthapuram, Pin 695034, Kerala, India"],"raw_orcid":"https://orcid.org/0000-0002-7847-5597","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College, University of Kerala, Thiruvananthapuram, Pin 695034, Kerala, India","institution_ids":["https://openalex.org/I158338959"]}]},{"author_position":"middle","author":{"id":null,"display_name":"B. Ravivarma","orcid":"https://orcid.org/0000-0002-1257-7558"},"institutions":[{"id":"https://openalex.org/I158338959","display_name":"University of Kerala","ror":"https://ror.org/05tqa9940","country_code":"IN","type":"education","lineage":["https://openalex.org/I158338959"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"B. Ravivarma","raw_affiliation_strings":["Department of Mathematics, University College, University of Kerala, Thiruvananthapuram, Pin 695034, Kerala, India"],"raw_orcid":"https://orcid.org/0000-0002-1257-7558","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University College, University of Kerala, Thiruvananthapuram, Pin 695034, Kerala, India","institution_ids":["https://openalex.org/I158338959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048867503","display_name":"E. M. Elsayed","orcid":"https://orcid.org/0000-0003-0894-8472"},"institutions":[{"id":"https://openalex.org/I159247623","display_name":"Mansoura University","ror":"https://ror.org/01k8vtd75","country_code":"EG","type":"education","lineage":["https://openalex.org/I159247623"]},{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["EG","SA"],"is_corresponding":true,"raw_author_name":"E. M. Elsayed","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, King AbdulAziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia","Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"],"raw_orcid":"https://orcid.org/0000-0003-0894-8472","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, King AbdulAziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt","institution_ids":["https://openalex.org/I159247623"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009181717","display_name":"K. Sreekumar","orcid":null},"institutions":[{"id":"https://openalex.org/I158338959","display_name":"University of Kerala","ror":"https://ror.org/05tqa9940","country_code":"IN","type":"education","lineage":["https://openalex.org/I158338959"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"K. G. Sreekumar","raw_affiliation_strings":["Department of Mathematics, University of Kerala, Thiruvananthapuram, Pin 695034, India"],"raw_orcid":"https://orcid.org/0000-0002-3596-7428","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Kerala, Thiruvananthapuram, Pin 695034, India","institution_ids":["https://openalex.org/I158338959"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5048867503"],"corresponding_institution_ids":["https://openalex.org/I159247623","https://openalex.org/I185163786"],"apc_list":{"value":1400,"currency":"USD","value_usd":1400},"apc_paid":{"value":1400,"currency":"USD","value_usd":1400},"fwci":0.1951,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.52575193,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2023","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9997000098228455,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9997000098228455,"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":0.9912999868392944,"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":0.9842000007629395,"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/mathematics","display_name":"Mathematics","score":0.5704037547111511},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.5665699243545532},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.5337610840797424},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49369606375694275},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4804898798465729},{"id":"https://openalex.org/keywords/equidistant","display_name":"Equidistant","score":0.4705244302749634},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.4655023217201233},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.45968103408813477},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.4453933835029602},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.43729591369628906},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.41986003518104553},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28944408893585205},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2631736993789673}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5704037547111511},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.5665699243545532},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5337610840797424},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49369606375694275},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4804898798465729},{"id":"https://openalex.org/C158245278","wikidata":"https://www.wikidata.org/wiki/Q4386982","display_name":"Equidistant","level":2,"score":0.4705244302749634},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.4655023217201233},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.45968103408813477},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.4453933835029602},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.43729591369628906},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.41986003518104553},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28944408893585205},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2631736993789673},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2023/9952813","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/9952813","pdf_url":"https://downloads.hindawi.com/journals/jece/2023/9952813.pdf","source":{"id":"https://openalex.org/S174662166","display_name":"Journal of Electrical and Computer Engineering","issn_l":"2090-0147","issn":["2090-0147","2090-0155"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Electrical and Computer Engineering","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:f8bc7e59cdfe4b728b9143f540eccdc1","is_oa":true,"landing_page_url":"https://doaj.org/article/f8bc7e59cdfe4b728b9143f540eccdc1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Electrical and Computer Engineering, Vol 2023 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2023/9952813","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2023/9952813","pdf_url":"https://downloads.hindawi.com/journals/jece/2023/9952813.pdf","source":{"id":"https://openalex.org/S174662166","display_name":"Journal of Electrical and Computer Engineering","issn_l":"2090-0147","issn":["2090-0147","2090-0155"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Electrical and Computer Engineering","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388177998.pdf"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1899006889","https://openalex.org/W1976966382","https://openalex.org/W1993359877","https://openalex.org/W2026526689","https://openalex.org/W2055060019","https://openalex.org/W2083606889","https://openalex.org/W2083613288","https://openalex.org/W2087192354","https://openalex.org/W2095547380","https://openalex.org/W2095980332","https://openalex.org/W2103521875","https://openalex.org/W2124984031","https://openalex.org/W2142663831","https://openalex.org/W2146554527","https://openalex.org/W2152303628","https://openalex.org/W2157243803","https://openalex.org/W2324772968","https://openalex.org/W2913032416","https://openalex.org/W2964323106","https://openalex.org/W2988678468","https://openalex.org/W3135401399","https://openalex.org/W4229826396","https://openalex.org/W4248289108","https://openalex.org/W4285144647","https://openalex.org/W4308573817","https://openalex.org/W6758860523","https://openalex.org/W6819914239"],"related_works":["https://openalex.org/W1997840831","https://openalex.org/W135568846","https://openalex.org/W2460434904","https://openalex.org/W1789159349","https://openalex.org/W2113911300","https://openalex.org/W4386066307","https://openalex.org/W832867880","https://openalex.org/W2151857680","https://openalex.org/W2147254059","https://openalex.org/W917159298"],"abstract_inverted_index":{"Rank":[0,25],"distance":[1,26,74,92],"codes":[2,27,44,55,75,94,136,154,171],"are":[3,48,62],"known":[4],"to":[5,158],"be":[6,99],"applicable":[7,139],"in":[8,22,36,40,140],"various":[9],"applications":[10,104],"such":[11],"as":[12],"distributed":[13],"data":[14],"storage,":[15],"cryptography,":[16],"space":[17],"time":[18],"coding,":[19],"and":[20,172],"mainly":[21],"network":[23,141],"coding.":[24,142],"defined":[28,56],"over":[29,45,57,76],"finite":[30,46],"fields":[31,47],"have":[32],"attracted":[33],"considerable":[34],"attention":[35],"recent":[37],"years.":[38],"However,":[39],"some":[41,160,169],"scenarios":[42],"where":[43],"not":[49],"sufficient,":[50],"it":[51],"is":[52,111,138],"demonstrated":[53],"that":[54],"the":[58,77,103,108,112,123,150,156],"real":[59,78,89,113],"number":[60,79],"field":[61,80,114],"preferred.":[63],"In":[64],"this":[65],"paper,":[66],"we":[67,95,128,144,165],"proposed":[68],"a":[69,130],"new":[70],"class":[71,124],"of":[72,125,132,152,168],"rank":[73,91,135],"<a:math":[81],"xmlns:a=\"http://www.w3.org/1998/Math/MathML\"":[82],"id=\"M1\">":[83],"<a:mi":[84],"mathvariant=\"double-struck\">R</a:mi>":[85],"</a:math>":[86],".":[87,121],"The":[88],"array":[90],"(RARD)":[93],"constructed":[96],"here":[97],"can":[98],"used":[100],"for":[101,149],"all":[102],"mentioned":[105],"above":[106],"whenever":[107],"code":[109],"alphabet":[110],"<d:math":[115],"xmlns:d=\"http://www.w3.org/1998/Math/MathML\"":[116],"id=\"M2\">":[117],"<d:mi":[118],"mathvariant=\"double-struck\">R</d:mi>":[119],"</d:math>":[120],"From":[122],"RARD":[126,153,162,170,174],"codes,":[127],"extract":[129],"subclass":[131],"equidistant":[133],"constant":[134],"which":[137],"Also,":[143],"determined":[145],"an":[146],"upper":[147],"bound":[148],"dimension":[151],"leading":[155],"way":[157],"obtain":[159],"optimal":[161,173],"codes.":[163,175],"Moreover,":[164],"established":[166],"examples":[167]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}