{"id":"https://openalex.org/W2091827019","doi":"https://doi.org/10.1007/978-3-540-30576-7_4","title":"Cryptography in Subgroups of $\\mathbb{Z}_{n}^{*}$","display_name":"Cryptography in Subgroups of $\\mathbb{Z}_{n}^{*}$","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2091827019","doi":"https://doi.org/10.1007/978-3-540-30576-7_4","mag":"2091827019"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-30576-7_4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-30576-7_4","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-30576-7_4.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-30576-7_4.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080460372","display_name":"Jens Groth","orcid":"https://orcid.org/0000-0001-6291-7832"},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Jens Groth","raw_affiliation_strings":[". of Computer Sci-ence, University of Aarhus, Denmark"],"affiliations":[{"raw_affiliation_string":". of Computer Sci-ence, University of Aarhus, Denmark","institution_ids":["https://openalex.org/I204337017"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080460372"],"corresponding_institution_ids":["https://openalex.org/I204337017"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.9889,"has_fulltext":true,"cited_by_count":60,"citation_normalized_percentile":{"value":0.94757174,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"50","last_page":"65"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","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/T10237","display_name":"Cryptography and Data Security","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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.994700014591217,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/homomorphic-encryption","display_name":"Homomorphic encryption","score":0.7445648908615112},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.6694190502166748},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.6618643999099731},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5637260675430298},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.5528912544250488},{"id":"https://openalex.org/keywords/digital-signature","display_name":"Digital signature","score":0.5298338532447815},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4978139400482178},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4796100854873657},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4615929126739502},{"id":"https://openalex.org/keywords/cryptographic-primitive","display_name":"Cryptographic primitive","score":0.41630667448043823},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38968467712402344},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3766844868659973},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3573787212371826},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.30251824855804443},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.23469221591949463},{"id":"https://openalex.org/keywords/cryptographic-protocol","display_name":"Cryptographic protocol","score":0.1909908950328827}],"concepts":[{"id":"https://openalex.org/C158338273","wikidata":"https://www.wikidata.org/wiki/Q2154943","display_name":"Homomorphic encryption","level":3,"score":0.7445648908615112},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.6694190502166748},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.6618643999099731},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5637260675430298},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.5528912544250488},{"id":"https://openalex.org/C118463975","wikidata":"https://www.wikidata.org/wiki/Q220849","display_name":"Digital signature","level":3,"score":0.5298338532447815},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4978139400482178},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4796100854873657},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4615929126739502},{"id":"https://openalex.org/C15927051","wikidata":"https://www.wikidata.org/wiki/Q246593","display_name":"Cryptographic primitive","level":4,"score":0.41630667448043823},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38968467712402344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3766844868659973},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3573787212371826},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.30251824855804443},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.23469221591949463},{"id":"https://openalex.org/C33884865","wikidata":"https://www.wikidata.org/wiki/Q1254335","display_name":"Cryptographic protocol","level":3,"score":0.1909908950328827},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-30576-7_4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-30576-7_4","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-30576-7_4.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/978-3-540-30576-7_4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-30576-7_4","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-30576-7_4.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7900000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2091827019.pdf","grobid_xml":"https://content.openalex.org/works/W2091827019.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W167577406","https://openalex.org/W1490653284","https://openalex.org/W1525451859","https://openalex.org/W1529862094","https://openalex.org/W1544327602","https://openalex.org/W1550422670","https://openalex.org/W1561877077","https://openalex.org/W1588782201","https://openalex.org/W1589205472","https://openalex.org/W1596831315","https://openalex.org/W1604454960","https://openalex.org/W1850675439","https://openalex.org/W1851031742","https://openalex.org/W1917151705","https://openalex.org/W1970823784","https://openalex.org/W1974232544","https://openalex.org/W1996360405","https://openalex.org/W2003345268","https://openalex.org/W2005317356","https://openalex.org/W2005936791","https://openalex.org/W2019816098","https://openalex.org/W2043545422","https://openalex.org/W2052267638","https://openalex.org/W2071593615","https://openalex.org/W2102632861","https://openalex.org/W2114101763","https://openalex.org/W2114118999","https://openalex.org/W2119177715","https://openalex.org/W2132172731","https://openalex.org/W2135985872","https://openalex.org/W2145964906","https://openalex.org/W2152521692","https://openalex.org/W2164409696","https://openalex.org/W2480001466","https://openalex.org/W2482495164","https://openalex.org/W2483831233","https://openalex.org/W2484588551","https://openalex.org/W2485957127","https://openalex.org/W2490520464","https://openalex.org/W2493671158","https://openalex.org/W2497843319","https://openalex.org/W2528526964","https://openalex.org/W2619633776","https://openalex.org/W2770583616","https://openalex.org/W3029468263","https://openalex.org/W3157578321","https://openalex.org/W4210300416","https://openalex.org/W4232836212","https://openalex.org/W4252543992","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4402347828","https://openalex.org/W4391920153","https://openalex.org/W1553510179","https://openalex.org/W2533462565","https://openalex.org/W2414747139","https://openalex.org/W2350215162","https://openalex.org/W2017125388","https://openalex.org/W3082967883","https://openalex.org/W2382634619","https://openalex.org/W1802397081"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}