{"id":"https://openalex.org/W4411156852","doi":"https://doi.org/10.3934/amc.2025027","title":"Additive skew polycyclic codes over <inline-formula><tex-math id=\"M1\">$ \\mathbb{F}_{p^2} $</tex-math></inline-formula>","display_name":"Additive skew polycyclic codes over <inline-formula><tex-math id=\"M1\">$ \\mathbb{F}_{p^2} $</tex-math></inline-formula>","publication_year":2025,"publication_date":"2025-06-09","ids":{"openalex":"https://openalex.org/W4411156852","doi":"https://doi.org/10.3934/amc.2025027"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2025027","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2025027","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=6846af80b924fa00d9d4baee","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/data/article/export-pdf?id=6846af80b924fa00d9d4baee","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057272198","display_name":"Nuh Ayd\u0131n","orcid":"https://orcid.org/0000-0002-5618-2427"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nuh Aydin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5117937090","display_name":"Amina Delhoum","orcid":null},"institutions":[{"id":"https://openalex.org/I157169809","display_name":"University of Sciences and Technology Houari Boumediene","ror":"https://ror.org/02kb89c09","country_code":"DZ","type":"education","lineage":["https://openalex.org/I157169809"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Amina Delhoum","raw_affiliation_strings":["LATN Laboratory, Department of Mathematics, University of Science and Technology Houari Boumediene, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LATN Laboratory, Department of Mathematics, University of Science and Technology Houari Boumediene, Algeria","institution_ids":["https://openalex.org/I157169809"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05654983,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":"0","first_page":"42","last_page":"51"},"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":0.9997000098228455,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9944999814033508,"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":0.8920063972473145},{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.6956785321235657},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.43670156598091125},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3367595076560974},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.04099777340888977}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8920063972473145},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.6956785321235657},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.43670156598091125},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3367595076560974},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.04099777340888977},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/amc.2025027","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2025027","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=6846af80b924fa00d9d4baee","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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.2025027","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2025027","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=6846af80b924fa00d9d4baee","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411156852.pdf","grobid_xml":"https://content.openalex.org/works/W4411156852.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W162701344","https://openalex.org/W1999121308","https://openalex.org/W2167413626","https://openalex.org/W2315086312","https://openalex.org/W2332775731","https://openalex.org/W2548869068","https://openalex.org/W3016168707","https://openalex.org/W3175712048","https://openalex.org/W3196288482","https://openalex.org/W4289655183","https://openalex.org/W4389381354"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4290802965","https://openalex.org/W1979597421","https://openalex.org/W97789383","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W3087516072","https://openalex.org/W2142036596"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,62,76],"investigate":[4],"additive":[5,53,67,72,80],"skew":[6,54,68,81],"polycyclic":[7,69,82],"codes":[8,30,56,70,83],"over":[9,57],"$":[10,14,16,39,41,44,58],"\\mathbb{F}_{p^2}":[11],"$,":[12],"where":[13],"p":[15],"is":[17],"a":[18,36,50,64],"prime.":[19],"We":[20],"study":[21],"the":[22,25,97,101],"structure":[23],"and":[24,42,71,100],"generator":[26],"polynomials":[27],"of":[28,52,79,96],"these":[29],"when":[31],"they":[32],"are":[33],"induced":[34],"by":[35],"vector":[37],"in":[38,43],"\\mathbb{F}_{p}^{n}":[40],"\\mathbb{F}_{p^2}^{n}":[45],"$.":[46,60],"Our":[47],"work":[48],"includes":[49],"characterization":[51],"bi-polycyclic":[55],"\\mathbb{F}_{4}":[59],"Further,":[61],"give":[63],"relationship":[65],"between":[66],"sequential":[73],"codes.":[74],"Additionally,":[75],"present":[77],"examples":[78],"with":[84],"more":[85],"codewords":[86],"than":[87],"any":[88],"comparable":[89],"linear":[90,94],"codes,":[91,95],"even":[92],"optimal":[93],"same":[98],"length":[99],"minimum":[102],"weight.":[103]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}