{"id":"https://openalex.org/W3023495073","doi":"https://doi.org/10.1109/access.2020.2991048","title":"On the Improvement Attack Upon Some Variants of RSA Cryptosystem via the Continued Fractions Method","display_name":"On the Improvement Attack Upon Some Variants of RSA Cryptosystem via the Continued Fractions Method","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3023495073","doi":"https://doi.org/10.1109/access.2020.2991048","mag":"3023495073"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.2991048","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2991048","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09079788.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09079788.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053176280","display_name":"Wan Nur Aqlili Ruzai","orcid":"https://orcid.org/0000-0002-0359-5690"},"institutions":[{"id":"https://openalex.org/I130343225","display_name":"Universiti Putra Malaysia","ror":"https://ror.org/02e91jd64","country_code":"MY","type":"education","lineage":["https://openalex.org/I130343225"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Wan Nur Aqlili Ruzai","raw_affiliation_strings":["Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, Malaysia"],"raw_orcid":"https://orcid.org/0000-0002-0359-5690","affiliations":[{"raw_affiliation_string":"Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, Malaysia","institution_ids":["https://openalex.org/I130343225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071414544","display_name":"Muhammad Rezal Kamel Ariffin","orcid":"https://orcid.org/0000-0001-5000-354X"},"institutions":[{"id":"https://openalex.org/I130343225","display_name":"Universiti Putra Malaysia","ror":"https://ror.org/02e91jd64","country_code":"MY","type":"education","lineage":["https://openalex.org/I130343225"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Muhammad Rezal Kamel Ariffin","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Selangor, Malaysia","Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, Malaysia"],"raw_orcid":"https://orcid.org/0000-0001-5000-354X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Selangor, Malaysia","institution_ids":["https://openalex.org/I130343225"]},{"raw_affiliation_string":"Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, Malaysia","institution_ids":["https://openalex.org/I130343225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011968072","display_name":"Muhammad Asyraf Asbullah","orcid":"https://orcid.org/0000-0002-0778-4456"},"institutions":[{"id":"https://openalex.org/I130343225","display_name":"Universiti Putra Malaysia","ror":"https://ror.org/02e91jd64","country_code":"MY","type":"education","lineage":["https://openalex.org/I130343225"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Muhammad Asyraf Asbullah","raw_affiliation_strings":["Centre of Foundation Studies for Agriculture Science, Universiti Putra Malaysia, Selangor, Malaysia","Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, Malaysia"],"raw_orcid":"https://orcid.org/0000-0002-0778-4456","affiliations":[{"raw_affiliation_string":"Centre of Foundation Studies for Agriculture Science, Universiti Putra Malaysia, Selangor, Malaysia","institution_ids":["https://openalex.org/I130343225"]},{"raw_affiliation_string":"Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, Malaysia","institution_ids":["https://openalex.org/I130343225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065211899","display_name":"Zahari Mahad","orcid":"https://orcid.org/0000-0001-6954-8494"},"institutions":[{"id":"https://openalex.org/I130343225","display_name":"Universiti Putra Malaysia","ror":"https://ror.org/02e91jd64","country_code":"MY","type":"education","lineage":["https://openalex.org/I130343225"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Zahari Mahad","raw_affiliation_strings":["Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, Malaysia"],"raw_orcid":"https://orcid.org/0000-0001-6954-8494","affiliations":[{"raw_affiliation_string":"Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, Malaysia","institution_ids":["https://openalex.org/I130343225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053885270","display_name":"Athirah Nawawi","orcid":"https://orcid.org/0000-0002-4102-7889"},"institutions":[{"id":"https://openalex.org/I130343225","display_name":"Universiti Putra Malaysia","ror":"https://ror.org/02e91jd64","country_code":"MY","type":"education","lineage":["https://openalex.org/I130343225"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Athirah Nawawi","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Selangor, Malaysia","Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, Malaysia"],"raw_orcid":"https://orcid.org/0000-0002-4102-7889","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Selangor, Malaysia","institution_ids":["https://openalex.org/I130343225"]},{"raw_affiliation_string":"Institute for Mathematical Research, Universiti Putra Malaysia, Selangor, Malaysia","institution_ids":["https://openalex.org/I130343225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I130343225"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.881,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.75964323,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"8","issue":null,"first_page":"80997","last_page":"81006"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10237","display_name":"Cryptography and Data Security","score":0.9994999766349792,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.8504109382629395},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5923495292663574},{"id":"https://openalex.org/keywords/hybrid-cryptosystem","display_name":"Hybrid cryptosystem","score":0.5160403251647949},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.474135160446167},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4664086103439331}],"concepts":[{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.8504109382629395},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5923495292663574},{"id":"https://openalex.org/C73468433","wikidata":"https://www.wikidata.org/wiki/Q1639918","display_name":"Hybrid cryptosystem","level":4,"score":0.5160403251647949},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.474135160446167},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4664086103439331}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.2991048","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2991048","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09079788.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:787ffefdca444b3aa2de92dbc9f01ec8","is_oa":true,"landing_page_url":"https://doaj.org/article/787ffefdca444b3aa2de92dbc9f01ec8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 80997-81006 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.2991048","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2991048","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09079788.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4967483638","display_name":null,"funder_award_id":"FRGS/1/2019/STG06/UPM/02/8","funder_id":"https://openalex.org/F4320322714","funder_display_name":"Universiti Putra Malaysia"}],"funders":[{"id":"https://openalex.org/F4320322714","display_name":"Universiti Putra Malaysia","ror":"https://ror.org/02e91jd64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3023495073.pdf","grobid_xml":"https://content.openalex.org/works/W3023495073.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W423632294","https://openalex.org/W1484022276","https://openalex.org/W1486469497","https://openalex.org/W1996360405","https://openalex.org/W2008990579","https://openalex.org/W2019689629","https://openalex.org/W2101040389","https://openalex.org/W2166780626","https://openalex.org/W2476900083","https://openalex.org/W2594022243","https://openalex.org/W2621530037","https://openalex.org/W2757648903","https://openalex.org/W2796018773","https://openalex.org/W2796373315","https://openalex.org/W2807162623","https://openalex.org/W2807632130","https://openalex.org/W2895182117","https://openalex.org/W2909434550","https://openalex.org/W4212875219","https://openalex.org/W6614788549","https://openalex.org/W6734678209","https://openalex.org/W6752175309","https://openalex.org/W6758588717"],"related_works":["https://openalex.org/W1528334372","https://openalex.org/W1515856307","https://openalex.org/W2126445990","https://openalex.org/W2092526533","https://openalex.org/W197565096","https://openalex.org/W2352423969","https://openalex.org/W2347867225","https://openalex.org/W1989430648","https://openalex.org/W2130331872","https://openalex.org/W2012789718"],"abstract_inverted_index":{"Let":[0],"N":[1,32],"=":[2,33,86],"pq":[3,34],"be":[4],"an":[5,106],"RSA":[6,39],"modulus":[7,31],"where":[8,88],"p":[9],"and":[10,90,95],"q":[11],"are":[12,41,92],"primes":[13],"not":[14],"necessarily":[15],"of":[16,27,38,44],"the":[17,25,29,53,70,93,125,130],"same":[18],"bit":[19],"size.":[20],"Previous":[21],"cryptanalysis":[22],"results":[23],"on":[24,36,124],"difficulty":[26],"factoring":[28],"public":[30,94],"deployed":[35],"variants":[37,46],"cryptosystem":[40],"revisited.":[42],"Each":[43],"these":[45],"share":[47],"a":[48],"common":[49],"key":[50,71,126],"relation":[51,72],"utilizing":[52],"modified":[54],"Euler":[55],"quotient":[56],"(p":[57,109],"<sup":[58,63,76,81,110,115],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[59,64,77,82,111,116],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[60,65,78,83,112,117],"-":[61,66,74,79,84,113,118],"1)(q":[62,80,114],"1),":[67],"given":[68],"by":[69],"ed":[73],"k(p":[75],"1)":[85,119],"1":[87],"e":[89],"d":[91,134],"private":[96],"keys":[97],"respectively.":[98],"By":[99],"conducting":[100],"continuous":[101],"midpoint":[102],"subdivision":[103],"analysis":[104],"upon":[105],"interval":[107],"containing":[108],"together":[120],"with":[121],"continued":[122],"fractions":[123],"relation,":[127],"we":[128],"increase":[129],"security":[131],"bound":[132],"for":[133],"exponentially.":[135]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
