{"id":"https://openalex.org/W4220990753","doi":"https://doi.org/10.1142/s1793830922500665","title":"\u21244R-additive cyclic and constacyclic codes and MDSS codes","display_name":"\u21244R-additive cyclic and constacyclic codes and MDSS codes","publication_year":2022,"publication_date":"2022-03-28","ids":{"openalex":"https://openalex.org/W4220990753","doi":"https://doi.org/10.1142/s1793830922500665"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830922500665","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830922500665","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/A5009976418","display_name":"Arazgol Ghajari","orcid":"https://orcid.org/0000-0002-3675-2832"},"institutions":[{"id":"https://openalex.org/I86958956","display_name":"Ferdowsi University of Mashhad","ror":"https://ror.org/00g6ka752","country_code":"IR","type":"education","lineage":["https://openalex.org/I86958956"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Arazgol Ghajari","raw_affiliation_strings":["Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-91775, Mashhad, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-91775, Mashhad, Iran","institution_ids":["https://openalex.org/I86958956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067556620","display_name":"Kazem Khashyarmanesh","orcid":"https://orcid.org/0000-0003-3314-7298"},"institutions":[{"id":"https://openalex.org/I86958956","display_name":"Ferdowsi University of Mashhad","ror":"https://ror.org/00g6ka752","country_code":"IR","type":"education","lineage":["https://openalex.org/I86958956"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Kazem Khashyarmanesh","raw_affiliation_strings":["Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-91775, Mashhad, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-91775, Mashhad, Iran","institution_ids":["https://openalex.org/I86958956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019610943","display_name":"Taher Abualrub","orcid":"https://orcid.org/0000-0002-3917-0862"},"institutions":[{"id":"https://openalex.org/I199440890","display_name":"American University of Sharjah","ror":"https://ror.org/001g2fj96","country_code":"AE","type":"education","lineage":["https://openalex.org/I199440890"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Taher Abualrub","raw_affiliation_strings":["Department of Mathematics and Statistics, American University of Sharjah, Sharjah, UAE"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, American University of Sharjah, Sharjah, UAE","institution_ids":["https://openalex.org/I199440890"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004637714","display_name":"\u0130rfan \u015eiap","orcid":"https://orcid.org/0000-0002-9702-1531"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Irfan Siap","raw_affiliation_strings":["Jacodesmath Institute, Istanbul 34220, Turkey"],"affiliations":[{"raw_affiliation_string":"Jacodesmath Institute, Istanbul 34220, Turkey","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5067556620"],"corresponding_institution_ids":["https://openalex.org/I86958956"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.023896,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"01","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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":0.9980000257492065,"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"}},{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9847000241279602,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/singleton","display_name":"Singleton","score":0.7175149321556091},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.709792971611023},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.6332277655601501},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5810027122497559},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.580636739730835},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.530544102191925},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5009539127349854},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.4352208971977234},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42525067925453186},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39020079374313354},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26771485805511475},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21947863698005676},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.0630214512348175}],"concepts":[{"id":"https://openalex.org/C117354338","wikidata":"https://www.wikidata.org/wiki/Q1165112","display_name":"Singleton","level":3,"score":0.7175149321556091},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.709792971611023},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.6332277655601501},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5810027122497559},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.580636739730835},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.530544102191925},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5009539127349854},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4352208971977234},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42525067925453186},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39020079374313354},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26771485805511475},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21947863698005676},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0630214512348175},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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},{"id":"https://openalex.org/C2779234561","wikidata":"https://www.wikidata.org/wiki/Q11995","display_name":"Pregnancy","level":2,"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830922500665","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830922500665","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1588687207","https://openalex.org/W1882412879","https://openalex.org/W1973810401","https://openalex.org/W2227222248","https://openalex.org/W2274326327","https://openalex.org/W2553479372","https://openalex.org/W2560867298","https://openalex.org/W2752902859","https://openalex.org/W2899655170","https://openalex.org/W2962763807","https://openalex.org/W2972071912","https://openalex.org/W3040031661","https://openalex.org/W3082887303","https://openalex.org/W4248289108","https://openalex.org/W4252716299"],"related_works":["https://openalex.org/W747331120","https://openalex.org/W2351588585","https://openalex.org/W4233660055","https://openalex.org/W2076370897","https://openalex.org/W2906951486","https://openalex.org/W3125437892","https://openalex.org/W1965730239","https://openalex.org/W2771420179","https://openalex.org/W2224172171","https://openalex.org/W2052181983"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,67],"will":[4,48,68,79,98],"study":[5],"the":[6,18,29,58,101,105],"structure":[7],"of":[8,21,84,107],"[Formula:":[9,14,25,33,37,40,44,63,71,109],"see":[10,15,26,34,38,41,45,64,72,110],"text]-additive":[11,73,111],"codes":[12,54,89],"where":[13,36],"text]":[16,27,42,65],"is":[17,28],"well-known":[19],"ring":[20,30],"4":[22],"elements":[23],"and":[24,43,75,90],"given":[31],"by":[32],"text],":[35,39],"text].":[46],"We":[47,78,97],"classify":[49],"all":[50],"maximum":[51],"distance":[52],"separable":[53],"with":[55],"respect":[56],"to":[57],"Singleton":[59],"bound":[60],"(MDSS)":[61],"over":[62],"Then":[66],"focus":[69],"on":[70],"cyclic":[74,112],"constacyclic":[76,114],"codes.":[77],"find":[80,100],"a":[81],"unique":[82],"set":[83],"generator":[85,102],"polynomials":[86,103],"for":[87,95,104],"these":[88],"determine":[91],"minimum":[92],"spanning":[93],"sets":[94],"them.":[96],"also":[99],"dual":[106],"any":[108],"or":[113],"code.":[115]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
