{"id":"https://openalex.org/W2999955196","doi":"https://doi.org/10.3934/amc.2020051","title":"Repeated-root constacyclic codes of length &lt;inline-formula&gt;&lt;tex-math id=\"M1\"&gt;$ 6lp^s $&lt;/tex-math&gt;&lt;/inline-formula&gt;","display_name":"Repeated-root constacyclic codes of length &lt;inline-formula&gt;&lt;tex-math id=\"M1\"&gt;$ 6lp^s $&lt;/tex-math&gt;&lt;/inline-formula&gt;","publication_year":2020,"publication_date":"2020-01-16","ids":{"openalex":"https://openalex.org/W2999955196","doi":"https://doi.org/10.3934/amc.2020051","mag":"2999955196"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2020051","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2020051","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=e0b3b1bb-706f-4bfb-a0ff-5959a8937503","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.aimsciences.org/article/exportPdf?id=e0b3b1bb-706f-4bfb-a0ff-5959a8937503","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101485652","display_name":"Tingting Wu","orcid":"https://orcid.org/0000-0002-7506-5365"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tingting Wu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100418848","display_name":"Li Liu","orcid":"https://orcid.org/0000-0002-7324-4757"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li Liu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084348655","display_name":"Lanqiang Li","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lanqiang Li","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100613317","display_name":"Shixin Zhu","orcid":"https://orcid.org/0000-0002-2845-3568"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shixin Zhu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1304,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51183382,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"15","issue":"1","first_page":"167","last_page":"189"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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":0.9997000098228455,"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/T14281","display_name":"Islamic Finance and Communication","score":0.9674000144004822,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9550999999046326,"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":0.7985048890113831},{"id":"https://openalex.org/keywords/dual-polyhedron","display_name":"Dual polyhedron","score":0.6462833881378174},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.5752739310264587},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5514916181564331},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5249404907226562},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.524192750453949},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4453519284725189},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32260560989379883},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16188928484916687},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.072721928358078}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7985048890113831},{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.6462833881378174},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.5752739310264587},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5514916181564331},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5249404907226562},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.524192750453949},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4453519284725189},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32260560989379883},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16188928484916687},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.072721928358078},{"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/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/amc.2020051","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2020051","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=e0b3b1bb-706f-4bfb-a0ff-5959a8937503","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3934/amc.2020051","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2020051","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=e0b3b1bb-706f-4bfb-a0ff-5959a8937503","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1983483270","https://openalex.org/W1985655855","https://openalex.org/W2014597889","https://openalex.org/W2032038056","https://openalex.org/W2040936770","https://openalex.org/W2052503266","https://openalex.org/W2061268162","https://openalex.org/W2102759336","https://openalex.org/W2110353549","https://openalex.org/W2143062461","https://openalex.org/W2144789980","https://openalex.org/W2161496548","https://openalex.org/W2228651896","https://openalex.org/W2491329261","https://openalex.org/W2795111912","https://openalex.org/W3141217652"],"related_works":["https://openalex.org/W108845024","https://openalex.org/W4300125793","https://openalex.org/W2578985712","https://openalex.org/W2406961474","https://openalex.org/W2143566611","https://openalex.org/W2013740965","https://openalex.org/W588267724","https://openalex.org/W4297743441","https://openalex.org/W2952598754","https://openalex.org/W2101436458"],"abstract_inverted_index":{"<p":[0],"style='text-indent:20px;'>Let":[1],"<inline-formula><tex-math":[2,12,17,34,41,75,80],"id=\"M2\">\\begin{document}$":[3],"\\mathbb{F}_{q}":[4,43,82],"$\\end{document}</tex-math></inline-formula>":[5,15,20,37,78],"be":[6,21],"a":[7],"finite":[8,39],"field":[9,40],"with":[10],"character":[11],"id=\"M3\">\\begin{document}$":[13],"p":[14],"and":[16,52,62,69],"id=\"M4\">\\begin{document}$":[18],"p\\neq{3},l\\neq{3}":[19],"different":[22],"odd":[23],"primes.":[24],"In":[25],"this":[26],"paper,":[27],"we":[28,58],"study":[29],"constacyclic":[30,50,71],"codes":[31,51,72],"of":[32,48,64,73],"length":[33,74],"id=\"M5\">\\begin{document}$":[35],"6lp^s":[36,77],"over":[38,79],"id=\"M6\">\\begin{document}$":[42],"$\\end{document}</tex-math></inline-formula>.":[44,83],"The":[45],"generator":[46],"polynomials":[47],"all":[49],"their":[53],"duals":[54],"are":[55],"obtained.":[56],"Moreover,":[57],"give":[59],"the":[60],"characterization":[61],"enumeration":[63],"linear":[65],"complementary":[66],"dual":[67],"(LCD)":[68],"self-dual":[70],"id=\"M7\">\\begin{document}$":[76],"id=\"M8\">\\begin{document}$":[81]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-19T21:40:30.786675","created_date":"2025-10-10T00:00:00"}