{"id":"https://openalex.org/W4226270083","doi":"https://doi.org/10.3390/cryptography7030045","title":"A New Idea for RSA Backdoors","display_name":"A New Idea for RSA Backdoors","publication_year":2023,"publication_date":"2023-09-21","ids":{"openalex":"https://openalex.org/W4226270083","doi":"https://doi.org/10.3390/cryptography7030045"},"language":"en","primary_location":{"id":"doi:10.3390/cryptography7030045","is_oa":true,"landing_page_url":"https://doi.org/10.3390/cryptography7030045","pdf_url":"https://www.mdpi.com/2410-387X/7/3/45/pdf?version=1695295824","source":{"id":"https://openalex.org/S4210223320","display_name":"Cryptography","issn_l":"2410-387X","issn":["2410-387X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2410-387X/7/3/45/pdf?version=1695295824","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061589069","display_name":"Marco Cesati","orcid":"https://orcid.org/0000-0002-7492-3129"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Marco Cesati","raw_affiliation_strings":["Department of Civil Engineering and Computer Science Engineering (DICII), University of Rome Tor Vergata, Via del Politecnico 1, 00133 Rome, Italy"],"raw_orcid":"https://orcid.org/0000-0002-7492-3129","affiliations":[{"raw_affiliation_string":"Department of Civil Engineering and Computer Science Engineering (DICII), University of Rome Tor Vergata, Via del Politecnico 1, 00133 Rome, Italy","institution_ids":["https://openalex.org/I116067653"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5061589069"],"corresponding_institution_ids":["https://openalex.org/I116067653"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1782},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1782},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00151087,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":"3","first_page":"45","last_page":"45"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.8508999943733215,"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"}},"topics":[{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.8508999943733215,"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":0.06019999831914902,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.021800000220537186,"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/modulo","display_name":"Modulo","score":0.7050236463546753},{"id":"https://openalex.org/keywords/integer-factorization","display_name":"Integer factorization","score":0.6391036510467529},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6121396422386169},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5916144847869873},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5509530305862427},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4865068793296814},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.47187986969947815},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4654586613178253},{"id":"https://openalex.org/keywords/prime-number","display_name":"Prime number","score":0.44832295179367065},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.44462552666664124},{"id":"https://openalex.org/keywords/key-escrow","display_name":"Key escrow","score":0.44086769223213196},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.40352004766464233},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.3633280396461487},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2952703833580017},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2616202235221863},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1580057442188263},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.15454575419425964},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13789120316505432}],"concepts":[{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.7050236463546753},{"id":"https://openalex.org/C119677069","wikidata":"https://www.wikidata.org/wiki/Q4846249","display_name":"Integer factorization","level":4,"score":0.6391036510467529},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6121396422386169},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5916144847869873},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5509530305862427},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4865068793296814},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.47187986969947815},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4654586613178253},{"id":"https://openalex.org/C113429393","wikidata":"https://www.wikidata.org/wiki/Q49008","display_name":"Prime number","level":2,"score":0.44832295179367065},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.44462552666664124},{"id":"https://openalex.org/C205533965","wikidata":"https://www.wikidata.org/wiki/Q1367345","display_name":"Key escrow","level":4,"score":0.44086769223213196},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.40352004766464233},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.3633280396461487},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2952703833580017},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2616202235221863},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1580057442188263},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.15454575419425964},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13789120316505432}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/cryptography7030045","is_oa":true,"landing_page_url":"https://doi.org/10.3390/cryptography7030045","pdf_url":"https://www.mdpi.com/2410-387X/7/3/45/pdf?version=1695295824","source":{"id":"https://openalex.org/S4210223320","display_name":"Cryptography","issn_l":"2410-387X","issn":["2410-387X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2201.13153","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2201.13153","pdf_url":"https://arxiv.org/pdf/2201.13153","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:art.torvergata.it:2108/331503","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2201.13153v1","pdf_url":"https://art.torvergata.it/bitstream/2108/331503/1/A_new_idea_for_RSA_backdoors.pdf","source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:c3730b0c730e43e5a7cb221006143008","is_oa":true,"landing_page_url":"https://doaj.org/article/c3730b0c730e43e5a7cb221006143008","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":"Cryptography, Vol 7, Iss 3, p 45 (2023)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2201.13153","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2201.13153","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.3390/cryptography7030045","is_oa":true,"landing_page_url":"https://doi.org/10.3390/cryptography7030045","pdf_url":"https://www.mdpi.com/2410-387X/7/3/45/pdf?version=1695295824","source":{"id":"https://openalex.org/S4210223320","display_name":"Cryptography","issn_l":"2410-387X","issn":["2410-387X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4226270083.pdf"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1499713421","https://openalex.org/W1505760520","https://openalex.org/W1521222412","https://openalex.org/W1544369918","https://openalex.org/W1550863203","https://openalex.org/W1742997543","https://openalex.org/W1749471906","https://openalex.org/W1818687382","https://openalex.org/W1841270112","https://openalex.org/W1857692135","https://openalex.org/W1909991939","https://openalex.org/W1981455414","https://openalex.org/W2004596694","https://openalex.org/W2051337603","https://openalex.org/W2064442333","https://openalex.org/W2083229845","https://openalex.org/W2103832773","https://openalex.org/W2108834246","https://openalex.org/W2123355614","https://openalex.org/W2129719496","https://openalex.org/W2130783199","https://openalex.org/W2134101189","https://openalex.org/W2141040012","https://openalex.org/W2144862055","https://openalex.org/W2147906334","https://openalex.org/W2234482660","https://openalex.org/W2414747139","https://openalex.org/W2561596263","https://openalex.org/W2573158238","https://openalex.org/W2738820794","https://openalex.org/W2766724343","https://openalex.org/W2916363687","https://openalex.org/W3048636830","https://openalex.org/W4232836212","https://openalex.org/W4256739667","https://openalex.org/W6696726716"],"related_works":["https://openalex.org/W296279","https://openalex.org/W149844","https://openalex.org/W7946343","https://openalex.org/W4783647","https://openalex.org/W11653086","https://openalex.org/W9847221","https://openalex.org/W3808516","https://openalex.org/W6211292","https://openalex.org/W17853102","https://openalex.org/W12140880"],"abstract_inverted_index":{"This":[0,80],"article":[1,81],"proposes":[2],"a":[3,47,54,69,76,90],"new":[4],"method":[5,34],"to":[6],"inject":[7],"backdoors":[8,64],"in":[9],"RSA":[10],"(the":[11],"public-key":[12],"cryptosystem":[13],"invented":[14],"by":[15],"Rivest,":[16],"Shamir,":[17],"and":[18,20,72],"Adleman)":[19],"other":[21,74],"cryptographic":[22],"primitives":[23],"based":[24,45],"on":[25,36,46,89],"the":[26,40,43,73,84,94],"integer":[27],"factorization":[28],"problem":[29],"for":[30],"balanced":[31],"semi-primes.":[32,79],"The":[33],"relies":[35],"mathematical":[37],"congruences":[38],"among":[39],"factors":[41],"of":[42,78,86,93],"semi-primes":[44],"large":[48],"prime":[49],"number,":[50],"which":[51],"acts":[52],"as":[53],"\u201cdesigner":[55],"key\u201d":[56],"or":[57],"\u201cescrow":[58],"key\u201d.":[59],"In":[60],"particular,":[61],"two":[62],"different":[63],"are":[65],"proposed,":[66],"one":[67,75],"targeting":[68],"single":[70],"semi-prime":[71],"pair":[77],"also":[82],"describes":[83],"results":[85],"tests":[87],"performed":[88],"SageMath":[91],"implementation":[92],"backdoors.":[95]},"counts_by_year":[],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2022-05-05T00:00:00"}