{"id":"https://openalex.org/W3045839094","doi":"https://doi.org/10.3934/amc.2020096","title":"Additive and linear conjucyclic codes over $ {\\mathbb{F}}_4 $","display_name":"Additive and linear conjucyclic codes over $ {\\mathbb{F}}_4 $","publication_year":2020,"publication_date":"2020-08-03","ids":{"openalex":"https://openalex.org/W3045839094","doi":"https://doi.org/10.3934/amc.2020096","mag":"3045839094"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2020096","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2020096","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=c201eefa-8b71-477d-a903-206f1b73833d","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=c201eefa-8b71-477d-a903-206f1b73833d","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019610943","display_name":"Taher Abualrub","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Taher Abualrub","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5059969175","display_name":"Steven T. Dougherty","orcid":"https://orcid.org/0000-0003-4877-1923"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Steven T. Dougherty","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5019610943"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1372,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.55032758,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"16","issue":"1","first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9995999932289124,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.8616064786911011},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5974814891815186},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39116835594177246},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.32065367698669434}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8616064786911011},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5974814891815186},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39116835594177246},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.32065367698669434}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/amc.2020096","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2020096","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=c201eefa-8b71-477d-a903-206f1b73833d","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.2020096","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2020096","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=c201eefa-8b71-477d-a903-206f1b73833d","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3045839094.pdf","grobid_xml":"https://content.openalex.org/works/W3045839094.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1979614101","https://openalex.org/W2167413626","https://openalex.org/W2488786572","https://openalex.org/W2732873618","https://openalex.org/W3034282739","https://openalex.org/W4254660365"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2142036596"],"abstract_inverted_index":{"&lt;p":[0],"style='text-indent:20px;'&gt;Conjucyclic":[1],"codes":[2,32,56,77,83,107,124],"were":[3],"first":[4],"introduced":[5],"by":[6],"Calderbank,":[7],"Rains,":[8],"Shor":[9],"and":[10,29,41,89],"Sloane":[11],"in":[12,20],"[&lt;xref":[13],"ref-type=\"bibr\"":[14],"rid=\"b1\"&gt;1&lt;/xref&gt;]":[15],"because":[16],"of":[17,54,108,125],"their":[18],"applications":[19],"quantum":[21],"error-correction.":[22],"In":[23],"this":[24,63],"paper,":[25],"we":[26,60,90],"study":[27],"linear":[28,93],"additive":[30,75,105],"conjucyclic":[31,55,76,82,106],"over":[33,84,114],"the":[34,47,66,79],"finite":[35],"field":[36],"&lt;inline-formula&gt;&lt;tex-math":[37,85,110,115,127],"id=\"M2\"&gt;\\begin{document}$":[38],"{\\mathbb{F}}_{4}":[39,87,117],"$\\end{document}&lt;/tex-math&gt;&lt;/inline-formula&gt;":[40,88,113,118],"produce":[42],"a":[43,92],"duality":[44],"for":[45,68],"which":[46],"orthogonal,":[48],"with":[49],"respect":[50],"to":[51,96,121],"that":[52,62,74,104],"duality,":[53],"is":[57,64],"conjucyclic.":[58],"Moreover,":[59],"show":[61,73,103],"not":[65],"case":[67],"other":[69],"standard":[70],"dualities.":[71],"We":[72,100],"are":[78,119],"only":[80],"non-trivial":[81],"id=\"M3\"&gt;\\begin{document}$":[86],"use":[91],"algebraic":[94],"approach":[95],"classify":[97],"these":[98],"codes.":[99],"will":[101],"also":[102],"length":[109,126],"id=\"M4\"&gt;\\begin{document}$":[111],"n":[112],"id=\"M5\"&gt;\\begin{document}$":[116],"isomorphic":[120],"binary":[122],"cyclic":[123],"id=\"M6\"&gt;\\begin{document}$":[128],"2n.":[129],"$\\end{document}&lt;/tex-math&gt;&lt;/inline-formula&gt;&lt;/p&gt;":[130]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
