{"id":"https://openalex.org/W4415004216","doi":"https://doi.org/10.1109/acit65614.2025.11185681","title":"Affine Ciphers Based on Quadratic and Cubic Functions","display_name":"Affine Ciphers Based on Quadratic and Cubic Functions","publication_year":2025,"publication_date":"2025-09-17","ids":{"openalex":"https://openalex.org/W4415004216","doi":"https://doi.org/10.1109/acit65614.2025.11185681"},"language":"en","primary_location":{"id":"doi:10.1109/acit65614.2025.11185681","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acit65614.2025.11185681","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 15th International Conference on Advanced Computer Information Technologies (ACIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016123191","display_name":"Mykhailo Kasianchuk","orcid":"https://orcid.org/0000-0002-4469-8055"},"institutions":[{"id":"https://openalex.org/I160977438","display_name":"West Ukrainian National University","ror":"https://ror.org/047988g19","country_code":"UA","type":"education","lineage":["https://openalex.org/I160977438"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"Mykhailo Kasianchuk","raw_affiliation_strings":["West Ukrainian National University,Department of Cyber Security,Ternopil,Ukraine"],"affiliations":[{"raw_affiliation_string":"West Ukrainian National University,Department of Cyber Security,Ternopil,Ukraine","institution_ids":["https://openalex.org/I160977438"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5117295907","display_name":"Mykhailo Holembiovskyi","orcid":null},"institutions":[{"id":"https://openalex.org/I160977438","display_name":"West Ukrainian National University","ror":"https://ror.org/047988g19","country_code":"UA","type":"education","lineage":["https://openalex.org/I160977438"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Mykhailo Holembiovskyi","raw_affiliation_strings":["West Ukrainian National University,Department of Cyber Security,Ternopil,Ukraine"],"affiliations":[{"raw_affiliation_string":"West Ukrainian National University,Department of Cyber Security,Ternopil,Ukraine","institution_ids":["https://openalex.org/I160977438"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5119930471","display_name":"Oleh Momotiuk","orcid":null},"institutions":[{"id":"https://openalex.org/I160977438","display_name":"West Ukrainian National University","ror":"https://ror.org/047988g19","country_code":"UA","type":"education","lineage":["https://openalex.org/I160977438"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Oleh Momotiuk","raw_affiliation_strings":["West Ukrainian National University,Department of Cyber Security,Ternopil,Ukraine"],"affiliations":[{"raw_affiliation_string":"West Ukrainian National University,Department of Cyber Security,Ternopil,Ukraine","institution_ids":["https://openalex.org/I160977438"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020636619","display_name":"Oleksiy Yaroshchuk","orcid":null},"institutions":[{"id":"https://openalex.org/I160977438","display_name":"West Ukrainian National University","ror":"https://ror.org/047988g19","country_code":"UA","type":"education","lineage":["https://openalex.org/I160977438"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Oleksiy Yaroshchuk","raw_affiliation_strings":["West Ukrainian National University,Department of Business Analytics and Innovative Engineering,Ternopil,Ukraine"],"affiliations":[{"raw_affiliation_string":"West Ukrainian National University,Department of Business Analytics and Innovative Engineering,Ternopil,Ukraine","institution_ids":["https://openalex.org/I160977438"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059063658","display_name":"Inna Shylinska","orcid":"https://orcid.org/0000-0002-0700-793X"},"institutions":[{"id":"https://openalex.org/I160977438","display_name":"West Ukrainian National University","ror":"https://ror.org/047988g19","country_code":"UA","type":"education","lineage":["https://openalex.org/I160977438"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Inna Shylinska","raw_affiliation_strings":["West Ukrainian National University,Department of Foreign Languages and Information and Communication Technologies,Ternopil,Ukraine"],"affiliations":[{"raw_affiliation_string":"West Ukrainian National University,Department of Foreign Languages and Information and Communication Technologies,Ternopil,Ukraine","institution_ids":["https://openalex.org/I160977438"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013256908","display_name":"\u041e\u043a\u0441\u0430\u043d\u0430 \u041a\u0430\u0440\u0430\u0431\u0456\u043d","orcid":"https://orcid.org/0000-0001-8759-948X"},"institutions":[{"id":"https://openalex.org/I4210108513","display_name":"Ternopil Volodymyr Hnatiuk National Pedagogical University","ror":"https://ror.org/02j98rq95","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210108513"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Oksana Karabin","raw_affiliation_strings":["Ternopil Volodymyr Hnatiuk National Pedagogical University,Department of Computer Science and Teaching Methods,Ternopil,Ukraine"],"affiliations":[{"raw_affiliation_string":"Ternopil Volodymyr Hnatiuk National Pedagogical University,Department of Computer Science and Teaching Methods,Ternopil,Ukraine","institution_ids":["https://openalex.org/I4210108513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5016123191"],"corresponding_institution_ids":["https://openalex.org/I160977438"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15479302,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"528","last_page":"531"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9905999898910522,"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":0.9905999898910522,"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":0.9258999824523926,"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/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9046000242233276,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6690999865531921},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5929999947547913},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5759999752044678},{"id":"https://openalex.org/keywords/quadratic-residue","display_name":"Quadratic residue","score":0.47999998927116394},{"id":"https://openalex.org/keywords/affine-combination","display_name":"Affine combination","score":0.46230000257492065},{"id":"https://openalex.org/keywords/s-box","display_name":"S-box","score":0.4406999945640564},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.39750000834465027}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7038000226020813},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6690999865531921},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5929999947547913},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5759999752044678},{"id":"https://openalex.org/C12817185","wikidata":"https://www.wikidata.org/wiki/Q878259","display_name":"Quadratic residue","level":2,"score":0.47999998927116394},{"id":"https://openalex.org/C207221997","wikidata":"https://www.wikidata.org/wiki/Q938614","display_name":"Affine combination","level":3,"score":0.46230000257492065},{"id":"https://openalex.org/C45737032","wikidata":"https://www.wikidata.org/wiki/Q748364","display_name":"S-box","level":4,"score":0.4406999945640564},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40299999713897705},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.39750000834465027},{"id":"https://openalex.org/C112145980","wikidata":"https://www.wikidata.org/wiki/Q2569509","display_name":"Key schedule","level":5,"score":0.3944000005722046},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3831999897956848},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3244999945163727},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.2777999937534332},{"id":"https://openalex.org/C93974786","wikidata":"https://www.wikidata.org/wiki/Q1589480","display_name":"Ciphertext","level":3,"score":0.2702000141143799},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2581000030040741},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.2556999921798706},{"id":"https://openalex.org/C2780221543","wikidata":"https://www.wikidata.org/wiki/Q4681865","display_name":"Cipher","level":3,"score":0.25380000472068787},{"id":"https://openalex.org/C65302260","wikidata":"https://www.wikidata.org/wiki/Q327675","display_name":"Symmetric-key algorithm","level":4,"score":0.2502000033855438},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2500999867916107}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acit65614.2025.11185681","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acit65614.2025.11185681","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 15th International Conference on Advanced Computer Information Technologies (ACIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Currently,":[0],"affine":[1,40,113,156],"ciphers,":[2],"despite":[3],"their":[4],"vulnerabilities,":[5],"are":[6,104,158],"an":[7,73],"effective":[8],"means":[9],"of":[10,13,24,36,38,53,65,78,86,94,111,123,137,140,152],"cryptographic":[11,69,84],"protection":[12],"information":[14],"in":[15,68,75],"cases":[16],"where":[17],"the":[18,22,34,51,63,76,83,87,92,95,99,124,129,135],"critical":[19],"parameter":[20],"is":[21,31,115,118],"time":[23],"encryption":[25],"and":[26,45,98,154],"data":[27],"transmission.":[28],"Our":[29],"work":[30],"devoted":[32],"to":[33],"problem":[35],"development":[37],"nonlinear":[39,66,96],"ciphers":[41,114,157],"based":[42,119],"on":[43,120,143],"quadratic":[44,112,145,153],"cubic":[46,155],"functions,":[47],"as":[48,50],"well":[49],"elimination":[52],"ambiguities":[54],"that":[55,62,91,117],"arise":[56],"during":[57],"decryption.":[58],"The":[59],"study":[60],"demonstrates":[61],"use":[64],"functions":[67],"transformations":[70],"allows":[71,133],"for":[72,108,134],"increase":[74],"number":[77],"key":[79],"variants":[80],"and,":[81],"accordingly,":[82],"strength":[85],"proposed":[88],"algorithm.":[89],"Conditions":[90],"coefficients":[93],"equations":[97],"modulus":[100,130],"values":[101],"must":[102],"satisfy":[103],"defined.":[105],"A":[106],"method":[107],"unambiguous":[109],"decryption":[110],"developed":[116],"double":[121],"numbering":[122],"alphabet":[125],"symbols.":[126],"This":[127],"doubles":[128],"value":[131],"but":[132],"selection":[136],"a":[138],"range":[139],"numerical":[141],"codes,":[142],"which":[144],"residues":[146],"can":[147],"be":[148],"uniquely":[149],"determined.":[150],"Examples":[151],"provided.":[159]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-10T00:00:00"}
