{"id":"https://openalex.org/W1809175384","doi":"https://doi.org/10.1007/978-3-642-10366-7_24","title":"On the Analysis of Cryptographic Assumptions in the Generic Ring Model","display_name":"On the Analysis of Cryptographic Assumptions in the Generic Ring Model","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1809175384","doi":"https://doi.org/10.1007/978-3-642-10366-7_24","mag":"1809175384"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-10366-7_24","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-10366-7_24","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-10366-7_24.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%2F978-3-642-10366-7_24.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090157645","display_name":"Tibor Jager","orcid":"https://orcid.org/0000-0002-3205-7699"},"institutions":[{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Tibor Jager","raw_affiliation_strings":["Horst G\u00f6rtz Institute for IT Security, Ruhr-University Bochum, Germany"],"affiliations":[{"raw_affiliation_string":"Horst G\u00f6rtz Institute for IT Security, Ruhr-University Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053201224","display_name":"J\u00f6rg Schwenk","orcid":"https://orcid.org/0000-0001-9315-7354"},"institutions":[{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J\u00f6rg Schwenk","raw_affiliation_strings":["Horst G\u00f6rtz Institute for IT Security, Ruhr-University Bochum, Germany"],"affiliations":[{"raw_affiliation_string":"Horst G\u00f6rtz Institute for IT Security, Ruhr-University Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090157645"],"corresponding_institution_ids":["https://openalex.org/I904495901"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.7313,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.86043735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"399","last_page":"416"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9952999949455261,"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/T11130","display_name":"Coding theory and cryptography","score":0.9922999739646912,"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/mathematical-proof","display_name":"Mathematical proof","score":0.736606240272522},{"id":"https://openalex.org/keywords/factoring","display_name":"Factoring","score":0.6499935388565063},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.6373189687728882},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5745211243629456},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5526773929595947},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.5398300290107727},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.45625409483909607},{"id":"https://openalex.org/keywords/cryptographic-protocol","display_name":"Cryptographic protocol","score":0.442600280046463},{"id":"https://openalex.org/keywords/modular-exponentiation","display_name":"Modular exponentiation","score":0.42369693517684937},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4131110906600952},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34941285848617554},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34907644987106323},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.3143364191055298},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2953769862651825},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.2696847915649414},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1372113823890686}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.736606240272522},{"id":"https://openalex.org/C177225278","wikidata":"https://www.wikidata.org/wiki/Q192674","display_name":"Factoring","level":2,"score":0.6499935388565063},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.6373189687728882},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5745211243629456},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5526773929595947},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.5398300290107727},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.45625409483909607},{"id":"https://openalex.org/C33884865","wikidata":"https://www.wikidata.org/wiki/Q1254335","display_name":"Cryptographic protocol","level":3,"score":0.442600280046463},{"id":"https://openalex.org/C152763109","wikidata":"https://www.wikidata.org/wiki/Q1228841","display_name":"Modular exponentiation","level":4,"score":0.42369693517684937},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4131110906600952},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34941285848617554},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34907644987106323},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.3143364191055298},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2953769862651825},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.2696847915649414},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1372113823890686},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-642-10366-7_24","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-10366-7_24","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-10366-7_24.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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.215.6354","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.215.6354","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eprint.iacr.org/2009/621.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.431.6537","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.431.6537","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://eprint.iacr.org/2009/621.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/978-3-642-10366-7_24","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-642-10366-7_24","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-642-10366-7_24.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":[{"id":"https://metadata.un.org/sdg/16","score":0.800000011920929,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1809175384.pdf","grobid_xml":"https://content.openalex.org/works/W1809175384.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W166560619","https://openalex.org/W1490394993","https://openalex.org/W1491152510","https://openalex.org/W1497795032","https://openalex.org/W1510550025","https://openalex.org/W1543878229","https://openalex.org/W1579491709","https://openalex.org/W1581994447","https://openalex.org/W1599026900","https://openalex.org/W1599334842","https://openalex.org/W1727535721","https://openalex.org/W1793111075","https://openalex.org/W1798609567","https://openalex.org/W1809175384","https://openalex.org/W1848025830","https://openalex.org/W1880955573","https://openalex.org/W1963716248","https://openalex.org/W1970209803","https://openalex.org/W1996124721","https://openalex.org/W1996360405","https://openalex.org/W2057636642","https://openalex.org/W2080132708","https://openalex.org/W2113999696","https://openalex.org/W2114101763","https://openalex.org/W2142508909","https://openalex.org/W2152688060","https://openalex.org/W2156186849","https://openalex.org/W2160296475","https://openalex.org/W2164988972","https://openalex.org/W2739656102","https://openalex.org/W3030946238","https://openalex.org/W4285719527","https://openalex.org/W4299827018"],"related_works":["https://openalex.org/W4399116249","https://openalex.org/W2951558173","https://openalex.org/W2039465140","https://openalex.org/W4254816090","https://openalex.org/W2111965281","https://openalex.org/W2610264794","https://openalex.org/W2055766186","https://openalex.org/W1592097729","https://openalex.org/W2364059967","https://openalex.org/W2538209859"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}