{"id":"https://openalex.org/W2886154112","doi":"https://doi.org/10.1109/access.2018.2864634","title":"The Depth Distribution of Constacyclic Codes Over $F_p+vF_p$","display_name":"The Depth Distribution of Constacyclic Codes Over $F_p+vF_p$","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2886154112","doi":"https://doi.org/10.1109/access.2018.2864634","mag":"2886154112"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2864634","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2864634","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2018.2864634","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026232193","display_name":"Guanghui Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210117164","display_name":"Luoyang Normal University","ror":"https://ror.org/029man787","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210117164"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guanghui Zhang","raw_affiliation_strings":["School of Mathematical Sciences, Luoyang Normal University, Luoyang, China"],"raw_orcid":"https://orcid.org/0000-0001-6975-7288","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Luoyang Normal University, Luoyang, China","institution_ids":["https://openalex.org/I4210117164"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026232193"],"corresponding_institution_ids":["https://openalex.org/I4210117164"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08686624,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":null,"first_page":"44390","last_page":"44395"},"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/T10849","display_name":"Finite Group Theory Research","score":0.9929999709129333,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9927999973297119,"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/code","display_name":"Code (set theory)","score":0.6372772455215454},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.6268163919448853},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6250982284545898},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.6152174472808838},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.528426468372345},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.5154293775558472},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.4920479953289032},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4850408434867859},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46360719203948975},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4265420436859131},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41030949354171753},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38332927227020264},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24707776308059692},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21543362736701965},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12406566739082336},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07674092054367065},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.0640932023525238}],"concepts":[{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.6372772455215454},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.6268163919448853},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6250982284545898},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.6152174472808838},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.528426468372345},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.5154293775558472},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.4920479953289032},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4850408434867859},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46360719203948975},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4265420436859131},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41030949354171753},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38332927227020264},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24707776308059692},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21543362736701965},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12406566739082336},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07674092054367065},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0640932023525238},{"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/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":2,"locations":[{"id":"doi:10.1109/access.2018.2864634","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2864634","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:62d95f5e6d9241428ab8251ede78f7f2","is_oa":true,"landing_page_url":"https://doaj.org/article/62d95f5e6d9241428ab8251ede78f7f2","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":"IEEE Access, Vol 6, Pp 44390-44395 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2864634","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2864634","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5450826709","display_name":"\u5bc6\u7801\u51fd\u6570\u7684\u5dee\u5206\u6027\u8d28\u53ca\u5176\u5e94\u7528\u7814\u7a76","funder_award_id":"11571005","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7059384488","display_name":null,"funder_award_id":"CXTD20150027","funder_id":"https://openalex.org/F4320327776","funder_display_name":"Innovation Scientists and Technicians Troop Construction Projects of Henan Province"},{"id":"https://openalex.org/G7752770482","display_name":null,"funder_award_id":"19A120010","funder_id":"https://openalex.org/F4320325625","funder_display_name":"Education Department of Henan Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320325625","display_name":"Education Department of Henan Province","ror":null},{"id":"https://openalex.org/F4320327776","display_name":"Innovation Scientists and Technicians Troop Construction Projects of Henan Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1973174922","https://openalex.org/W2032232943","https://openalex.org/W2038681062","https://openalex.org/W2072078358","https://openalex.org/W2099693138","https://openalex.org/W2109293347","https://openalex.org/W2130913621","https://openalex.org/W2140507860","https://openalex.org/W2295483227","https://openalex.org/W2550913028","https://openalex.org/W2570146982","https://openalex.org/W3099891790"],"related_works":["https://openalex.org/W3162204513","https://openalex.org/W2371138613","https://openalex.org/W2048963458","https://openalex.org/W43109613","https://openalex.org/W2359952343","https://openalex.org/W2239445980","https://openalex.org/W2080152487","https://openalex.org/W3083152911","https://openalex.org/W3022347918","https://openalex.org/W2366398483"],"abstract_inverted_index":{"The":[0,19,83],"depth":[1,28,44,47,73],"distribution":[2,29,48],"of":[3,30,49,75,92],"a":[4,13,53,90],"linear":[5,17,32],"code":[6],"was":[7],"put":[8],"forward":[9],"by":[10],"Etzion":[11],"as":[12,89],"new":[14],"characterization":[15],"for":[16],"codes.":[18],"previously":[20],"known":[21],"results":[22],"pay":[23],"close":[24],"attention":[25],"to":[26],"the":[27,31,43,72,79,97],"codes":[33,51,77],"over":[34,52,78],"chain":[35],"rings.":[36],"In":[37],"this":[38,67],"paper,":[39],"we":[40,69,100],"completely":[41],"determine":[42],"spectrum":[45,74],"and":[46],"constacyclic":[50,76],"non-chain":[54],"ring":[55],"F":[56],"<sub":[57,62],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[58,63],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">p</sub>":[59,64],"+":[60],"vF":[61],".":[65],"For":[66],"purpose,":[68],"first":[70],"investigate":[71],"finite":[80],"field":[81],"Fp.":[82],"corresponding":[84],"result":[85],"can":[86],"be":[87],"regarded":[88],"generalization":[91],"[6,":[93],"Th.":[94],"3],":[95],"in":[96],"sense":[98],"that":[99],"do":[101],"not":[102],"assume":[103],"(n,":[104],"p)":[105],"=":[106],"1.":[107]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
