{"id":"https://openalex.org/W3013763960","doi":"https://doi.org/10.1142/s1793830920500445","title":"Concatenated kernel codes","display_name":"Concatenated kernel codes","publication_year":2020,"publication_date":"2020-03-24","ids":{"openalex":"https://openalex.org/W3013763960","doi":"https://doi.org/10.1142/s1793830920500445","mag":"3013763960"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830920500445","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500445","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5023552251","display_name":"R. Selvakumar","orcid":"https://orcid.org/0000-0003-2760-7497"},"institutions":[{"id":"https://openalex.org/I876193797","display_name":"Vellore Institute of Technology University","ror":"https://ror.org/00qzypv28","country_code":"IN","type":"education","lineage":["https://openalex.org/I876193797"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"R. Selvakumar","raw_affiliation_strings":["Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 632014, Vellore, Tamil Nadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 632014, Vellore, Tamil Nadu, India","institution_ids":["https://openalex.org/I876193797"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066973293","display_name":"C. Pavan Kumar","orcid":"https://orcid.org/0000-0002-4907-5412"},"institutions":[{"id":"https://openalex.org/I26072440","display_name":"Indian Institute of Information Technology Allahabad","ror":"https://ror.org/03rgjt374","country_code":"IN","type":"education","lineage":["https://openalex.org/I26072440"]},{"id":"https://openalex.org/I4210152718","display_name":"Indian Institute of Technology Dharwad","ror":"https://ror.org/0509djg30","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210152718"]},{"id":"https://openalex.org/I4387153068","display_name":"Indian Institute of Information Technology Dharwad","ror":"https://ror.org/0237jt454","country_code":null,"type":"education","lineage":["https://openalex.org/I4387153068"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"C. Pavan Kumar","raw_affiliation_strings":["Department of Computer Science and Engineering, Indian Institute of Information Technology Dharwad, 580029, Hubballi, Karnataka, India"],"raw_orcid":"https://orcid.org/0000-0002-4907-5412","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Indian Institute of Information Technology Dharwad, 580029, Hubballi, Karnataka, India","institution_ids":["https://openalex.org/I4210152718","https://openalex.org/I26072440","https://openalex.org/I4387153068"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066973293"],"corresponding_institution_ids":["https://openalex.org/I26072440","https://openalex.org/I4210152718","https://openalex.org/I4387153068"],"apc_list":null,"apc_paid":null,"fwci":0.1359,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53209819,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"12","issue":"03","first_page":"2050044","last_page":"2050044"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9983999729156494,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9979000091552734,"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/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.7162356376647949},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5001404285430908},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43900057673454285},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.43842217326164246},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4305003881454468},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.4216485619544983},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37346380949020386},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3357918858528137},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3241800367832184},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.159587562084198},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1375381052494049},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.08214691281318665}],"concepts":[{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.7162356376647949},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5001404285430908},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43900057673454285},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.43842217326164246},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4305003881454468},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.4216485619544983},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37346380949020386},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3357918858528137},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3241800367832184},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.159587562084198},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1375381052494049},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.08214691281318665}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830920500445","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830920500445","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W65576641","https://openalex.org/W1506290728","https://openalex.org/W1556443961","https://openalex.org/W1580365030","https://openalex.org/W1980073965","https://openalex.org/W1985543231","https://openalex.org/W1997855358","https://openalex.org/W2083394863","https://openalex.org/W2154926368","https://openalex.org/W2155364287","https://openalex.org/W2342204193","https://openalex.org/W2765839469","https://openalex.org/W2978725006","https://openalex.org/W3004537778","https://openalex.org/W4234572373","https://openalex.org/W4243137332"],"related_works":["https://openalex.org/W3133831695","https://openalex.org/W2037763716","https://openalex.org/W2100149990","https://openalex.org/W1968396483","https://openalex.org/W4297536019","https://openalex.org/W2362406576","https://openalex.org/W2950636389","https://openalex.org/W1533984353","https://openalex.org/W2134931385","https://openalex.org/W2112041330"],"abstract_inverted_index":{"Concatenated":[0],"codes":[1,21],"introduced":[2],"by":[3],"Forney":[4],"in":[5,15,31],"1966":[6],"received":[7],"wide":[8],"attention":[9],"due":[10],"to":[11,54],"their":[12],"extensive":[13],"usage":[14],"space":[16],"missions.":[17],"Thereafter,":[18],"many":[19],"concatenated":[20,38,46],"were":[22],"constructed":[23,53,66,81],"on":[24],"the":[25,56,65,68,80,84,87],"similar":[26],"lines":[27],"and":[28,49,61,96],"successfully":[29],"employed":[30],"digital":[32],"communication":[33],"setup.":[34],"In":[35],"this":[36],"paper,":[37],"kernel":[39,47],"code":[40,48,60,86],"is":[41,52,72],"defined.":[42],"An":[43],"example":[44,85],"of":[45,58,70,83],"its":[50,62],"trellis":[51,82],"demonstrate":[55],"importance":[57],"defined":[59],"computation.":[63],"For":[64],"code,":[67],"presence":[69],"homomorphism":[71],"tested":[73],"using":[74],"Blum\u2013Luby\u2013Rubinfeld":[75],"Linearity":[76],"test.":[77],"Further,":[78],"for":[79],"properties":[88],"such":[89],"as":[90],"proper,":[91],"co-proper,":[92],"biproper,":[93],"one-to-one,":[94],"minimal":[95,97],"proper":[98],"are":[99],"investigated.":[100]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
