{"id":"https://openalex.org/W4410106597","doi":"https://doi.org/10.1007/s40314-025-03226-7","title":"$$\\mathbb {F}_2\\mathbb {F}_4$$-skew cyclic codes","display_name":"$$\\mathbb {F}_2\\mathbb {F}_4$$-skew cyclic codes","publication_year":2025,"publication_date":"2025-05-06","ids":{"openalex":"https://openalex.org/W4410106597","doi":"https://doi.org/10.1007/s40314-025-03226-7"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-025-03226-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-025-03226-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-025-03226-7.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s40314-025-03226-7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019126541","display_name":"Roghayeh Mohammadi Hesari","orcid":"https://orcid.org/0000-0002-1736-712X"},"institutions":[{"id":"https://openalex.org/I55547365","display_name":"Payame Noor University","ror":"https://ror.org/031699d98","country_code":"IR","type":"education","lineage":["https://openalex.org/I55547365"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Roghayeh Mohammadi Hesari","raw_affiliation_strings":["Department of Mathematics, Payam Noor Qeydar University, Zanjan, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Payam Noor Qeydar University, Zanjan, Iran","institution_ids":["https://openalex.org/I55547365"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016222943","display_name":"Mustafa Sar\u0131","orcid":"https://orcid.org/0000-0003-3666-7635"},"institutions":[{"id":"https://openalex.org/I4101805","display_name":"Y\u0131ld\u0131z Technical University","ror":"https://ror.org/0547yzj13","country_code":"TR","type":"education","lineage":["https://openalex.org/I4101805"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Mustafa Sari","raw_affiliation_strings":["Department of Mathematics, Yildiz Technical University, Esenler, Istanbul, 34220, T\u00fcrkiye"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yildiz Technical University, Esenler, Istanbul, 34220, T\u00fcrkiye","institution_ids":["https://openalex.org/I4101805"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016446279","display_name":"\u0130smail Aydo\u011fdu","orcid":"https://orcid.org/0000-0001-9308-4829"},"institutions":[{"id":"https://openalex.org/I4101805","display_name":"Y\u0131ld\u0131z Technical University","ror":"https://ror.org/0547yzj13","country_code":"TR","type":"education","lineage":["https://openalex.org/I4101805"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Ismail Aydogdu","raw_affiliation_strings":["Department of Mathematics, Yildiz Technical University, Esenler, Istanbul, 34220, T\u00fcrkiye"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yildiz Technical University, Esenler, Istanbul, 34220, T\u00fcrkiye","institution_ids":["https://openalex.org/I4101805"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019126541"],"corresponding_institution_ids":["https://openalex.org/I55547365"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04461706,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"44","issue":"5","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":0.9973999857902527,"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":0.987500011920929,"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/skew","display_name":"Skew","score":0.8601402044296265},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6050702333450317},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5514626502990723},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3519701361656189},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.34543102979660034}],"concepts":[{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.8601402044296265},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6050702333450317},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5514626502990723},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3519701361656189},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.34543102979660034},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-025-03226-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-025-03226-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-025-03226-7.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s40314-025-03226-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40314-025-03226-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40314-025-03226-7.pdf","source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4410106597.pdf","grobid_xml":"https://content.openalex.org/works/W4410106597.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W162701344","https://openalex.org/W1604526698","https://openalex.org/W1977560552","https://openalex.org/W1982340557","https://openalex.org/W2010238614","https://openalex.org/W2105512769","https://openalex.org/W2121513675","https://openalex.org/W2127558904","https://openalex.org/W2151359594","https://openalex.org/W2167697875","https://openalex.org/W2269469918","https://openalex.org/W2907325546","https://openalex.org/W2963945674","https://openalex.org/W2999374997","https://openalex.org/W3016168707","https://openalex.org/W3109056685","https://openalex.org/W3174872468","https://openalex.org/W4226272762","https://openalex.org/W4318475637","https://openalex.org/W4393431706"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W2271181815"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"study,":[3],"we":[4,89,151],"introduce":[5],"$$\\mathbb":[6,15,35,50,59,94,103,130,139,159,178,187],"{F}_2$$":[7,51,95,131,179],"<mml:math":[8,17,37,52,61,96,105,132,141,161,180,189],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[9,18,38,53,62,97,106,133,142,162,181,190],"<mml:msub>":[10,19,39,54,63,98,107,134,143,163,182,191],"<mml:mi>F</mml:mi>":[11,20,40,55,64,99,108,135,144,164,183,192],"<mml:mn>2</mml:mn>":[12,56,100,136,184],"</mml:msub>":[13,22,42,57,66,101,110,137,146,166,185,194],"</mml:math>":[14,23,43,58,67,102,111,138,147,167,186,195],"{F}_4$$":[16,36,60,104,140,160,188],"<mml:mn>4</mml:mn>":[21,41,65,109,145,165,193],"-skew":[24,68,112,148,196],"cyclic":[25,32,69,113,149,197],"codes":[26,33,70,114,157,172],"as":[27,126],"a":[28,116],"generalization":[29],"of":[30,49,93,129,155,177],"skew":[31],"over":[34,158],".":[44],"We":[45,80],"characterize":[46],"algebraic":[47],"structures":[48],"by":[71],"determining":[72],"their":[73,122],"generating":[74,123],"polynomials":[75],"and":[76,120,168],"minimal":[77],"spanning":[78],"sets.":[79],"also":[81],"exhibit":[82],"generator":[83],"matrices":[84],"for":[85],"these":[86],"codes.":[87,198],"Furthermore,":[88],"examine":[90],"the":[91],"duals":[92],"concerning":[115],"certain":[117],"inner":[118],"product":[119],"identify":[121],"polynomials.":[124],"Finally,":[125],"an":[127],"application":[128],"codes,":[150],"present":[152],"some":[153],"examples":[154],"near-MDS":[156],"optimal":[169],"binary":[170],"linear":[171],"which":[173],"are":[174],"Gray":[175],"images":[176]},"counts_by_year":[],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}