{"id":"https://openalex.org/W3129145462","doi":"https://doi.org/10.1142/s1793830921501019","title":"Perfect t-codes in Cayley graphs of groups","display_name":"Perfect t-codes in Cayley graphs of groups","publication_year":2021,"publication_date":"2021-02-05","ids":{"openalex":"https://openalex.org/W3129145462","doi":"https://doi.org/10.1142/s1793830921501019","mag":"3129145462"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830921501019","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921501019","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/A5030550883","display_name":"Neda Bagheri","orcid":"https://orcid.org/0000-0003-0146-4627"},"institutions":[{"id":"https://openalex.org/I4871159","display_name":"University of Mazandaran","ror":"https://ror.org/05fp9g671","country_code":"IR","type":"education","lineage":["https://openalex.org/I4871159"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Neda Bagheri","raw_affiliation_strings":["Department of Mathematics, University of Mazandaran, Babolsar, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Mazandaran, Babolsar, Iran","institution_ids":["https://openalex.org/I4871159"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102294520","display_name":"Abasat Rostami","orcid":null},"institutions":[{"id":"https://openalex.org/I4871159","display_name":"University of Mazandaran","ror":"https://ror.org/05fp9g671","country_code":"IR","type":"education","lineage":["https://openalex.org/I4871159"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"A. Asghar Talebi Rostami","raw_affiliation_strings":["Department of Mathematics, University of Mazandaran, Babolsar, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Mazandaran, Babolsar, Iran","institution_ids":["https://openalex.org/I4871159"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102294520"],"corresponding_institution_ids":["https://openalex.org/I4871159"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02582632,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"02","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9990000128746033,"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":0.9990000128746033,"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":0.9879999756813049,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.7563874125480652},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7391060590744019},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6989156007766724},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5531519651412964},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4407362937927246},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3170757591724396}],"concepts":[{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.7563874125480652},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7391060590744019},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6989156007766724},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5531519651412964},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4407362937927246},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3170757591724396}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830921501019","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921501019","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":[{"id":"https://openalex.org/F4320322406","display_name":"Mazandaran University of Medical Sciences","ror":"https://ror.org/02wkcrp04"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1562671609","https://openalex.org/W1991835468","https://openalex.org/W2010608390","https://openalex.org/W2040989249","https://openalex.org/W2049802481","https://openalex.org/W2070938277","https://openalex.org/W2140692653","https://openalex.org/W2142782366","https://openalex.org/W2145669595","https://openalex.org/W2964228494","https://openalex.org/W3098753589","https://openalex.org/W3104769525","https://openalex.org/W4238591275"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2066808294","https://openalex.org/W2320114089","https://openalex.org/W2021255209","https://openalex.org/W4298259995","https://openalex.org/W1571832314","https://openalex.org/W2084488871","https://openalex.org/W2949933002","https://openalex.org/W3111310291","https://openalex.org/W2244024694"],"abstract_inverted_index":{"A":[0],"perfect":[1,56,77,107],"[Formula:":[2,8,14,18,26,36,44,57,78,108,121],"see":[3,9,15,19,27,37,45,58,79,109,122],"text]-code":[4],"in":[5,60,92,111],"a":[6,12,31,52,73,99],"graph":[7],"text]":[10,16,20,28],"is":[11,29],"subset":[13],"of":[17,25,43,55,63,69,72,85,89,106],"such":[21],"that":[22],"every":[23,120],"vertex":[24,42],"at":[30],"distance":[32],"not":[33],"more":[34],"than":[35],"text],":[38],"to":[39,75,118],"exactly":[40],"one":[41],"text].":[46],"In":[47],"this":[48],"paper,":[49],"we":[50,97],"present":[51],"new":[53,100],"family":[54],"text]-codes":[59,80,110],"Cayley":[61,112],"graphs":[62],"groups.":[64],"We":[65],"proposed":[66],"the":[67,70,83,86,90,93,104],"role":[68],"subgroups":[71,91],"group":[74],"create":[76],"by":[81],"restricting":[82],"elements":[84],"left":[87],"transversal":[88],"given":[94],"group.":[95],"Also,":[96],"introduce":[98],"decoding":[101],"algorithm":[102],"for":[103],"all":[105],"graphs.":[113],"These":[114],"codes":[115],"are":[116],"able":[117],"correct":[119],"text]-error":[123],"pattern.":[124]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}