{"id":"https://openalex.org/W2000898774","doi":"https://doi.org/10.1007/s00145-008-9022-1","title":"Using Abelian Varieties to Improve Pairing-Based Cryptography","display_name":"Using Abelian Varieties to Improve Pairing-Based Cryptography","publication_year":2008,"publication_date":"2008-09-18","ids":{"openalex":"https://openalex.org/W2000898774","doi":"https://doi.org/10.1007/s00145-008-9022-1","mag":"2000898774"},"language":"en","primary_location":{"id":"doi:10.1007/s00145-008-9022-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00145-008-9022-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00145-008-9022-1.pdf","source":{"id":"https://openalex.org/S190936789","display_name":"Journal of Cryptology","issn_l":"0933-2790","issn":["0933-2790","1432-1378"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Cryptology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00145-008-9022-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073182985","display_name":"Karl Rubin","orcid":null},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"K. Rubin","raw_affiliation_strings":["Mathematics Department, University of California, Irvine, CA, 92697, USA","University of California, Mathematics Department, 92697, Irvine, CA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of California, Irvine, CA, 92697, USA","institution_ids":["https://openalex.org/I204250578"]},{"raw_affiliation_string":"University of California, Mathematics Department, 92697, Irvine, CA, USA#TAB#","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027554803","display_name":"Alice Silverberg","orcid":"https://orcid.org/0000-0001-8338-7930"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Silverberg","raw_affiliation_strings":["Mathematics Department, University of California, Irvine, CA, 92697, USA","University of California, Mathematics Department, 92697, Irvine, CA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of California, Irvine, CA, 92697, USA","institution_ids":["https://openalex.org/I204250578"]},{"raw_affiliation_string":"University of California, Mathematics Department, 92697, Irvine, CA, USA#TAB#","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073182985"],"corresponding_institution_ids":["https://openalex.org/I204250578"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":16.6208,"has_fulltext":true,"cited_by_count":33,"citation_normalized_percentile":{"value":0.98810371,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"3","first_page":"330","last_page":"364"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9937000274658203,"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/T11130","display_name":"Coding theory and cryptography","score":0.9907000064849854,"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/mathematics","display_name":"Mathematics","score":0.6610251069068909},{"id":"https://openalex.org/keywords/supersingular-elliptic-curve","display_name":"Supersingular elliptic curve","score":0.6230015158653259},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.6086385846138},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.6063313484191895},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.6002212762832642},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.568871259689331},{"id":"https://openalex.org/keywords/pairing","display_name":"Pairing","score":0.5485100746154785},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.46670010685920715},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3300083875656128},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.2934643626213074},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2723332643508911},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22742977738380432},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.12242621183395386},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.07638245820999146},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07485699653625488}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6610251069068909},{"id":"https://openalex.org/C157567686","wikidata":"https://www.wikidata.org/wiki/Q7644139","display_name":"Supersingular elliptic curve","level":3,"score":0.6230015158653259},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6086385846138},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.6063313484191895},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.6002212762832642},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.568871259689331},{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.5485100746154785},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.46670010685920715},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3300083875656128},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.2934643626213074},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2723332643508911},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22742977738380432},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.12242621183395386},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.07638245820999146},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07485699653625488},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00145-008-9022-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00145-008-9022-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00145-008-9022-1.pdf","source":{"id":"https://openalex.org/S190936789","display_name":"Journal of Cryptology","issn_l":"0933-2790","issn":["0933-2790","1432-1378"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Cryptology","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.127.8344","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.127.8344","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.uci.edu/~asilverb/bibliography/rubsilav.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.498.8056","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.498.8056","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uci.edu/~asilverb/bibliography/rubsilav.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/s00145-008-9022-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00145-008-9022-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00145-008-9022-1.pdf","source":{"id":"https://openalex.org/S190936789","display_name":"Journal of Cryptology","issn_l":"0933-2790","issn":["0933-2790","1432-1378"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Cryptology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5974936678","display_name":"Variation of Selmer Groups of Elliptic Curves","funder_award_id":"0457481","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2000898774.pdf","grobid_xml":"https://content.openalex.org/works/W2000898774.grobid-xml"},"referenced_works_count":66,"referenced_works":["https://openalex.org/W7402427","https://openalex.org/W14682805","https://openalex.org/W78459938","https://openalex.org/W196348009","https://openalex.org/W590775832","https://openalex.org/W638968376","https://openalex.org/W1481965140","https://openalex.org/W1483451858","https://openalex.org/W1491262044","https://openalex.org/W1495266644","https://openalex.org/W1496914902","https://openalex.org/W1532836984","https://openalex.org/W1534901184","https://openalex.org/W1545876477","https://openalex.org/W1546891011","https://openalex.org/W1558545243","https://openalex.org/W1560018030","https://openalex.org/W1565956864","https://openalex.org/W1583105647","https://openalex.org/W1589843374","https://openalex.org/W1590713339","https://openalex.org/W1595231197","https://openalex.org/W1597998262","https://openalex.org/W1605824289","https://openalex.org/W1610688607","https://openalex.org/W1632865044","https://openalex.org/W1798609567","https://openalex.org/W1921672120","https://openalex.org/W1976203617","https://openalex.org/W1992593981","https://openalex.org/W2014239329","https://openalex.org/W2016212398","https://openalex.org/W2022337532","https://openalex.org/W2026258986","https://openalex.org/W2030183171","https://openalex.org/W2055083041","https://openalex.org/W2071680489","https://openalex.org/W2076178640","https://openalex.org/W2083052384","https://openalex.org/W2084836129","https://openalex.org/W2086042811","https://openalex.org/W2094556471","https://openalex.org/W2105154875","https://openalex.org/W2111310412","https://openalex.org/W2144048023","https://openalex.org/W2149587182","https://openalex.org/W2152924492","https://openalex.org/W2277535877","https://openalex.org/W2322631263","https://openalex.org/W2339662170","https://openalex.org/W2475397807","https://openalex.org/W2480001466","https://openalex.org/W2480510614","https://openalex.org/W2486163905","https://openalex.org/W2497093721","https://openalex.org/W2497843319","https://openalex.org/W2616966582","https://openalex.org/W2624923838","https://openalex.org/W2808262660","https://openalex.org/W2941987660","https://openalex.org/W3154896280","https://openalex.org/W4251283741","https://openalex.org/W4285719527","https://openalex.org/W6602534768","https://openalex.org/W6635340173","https://openalex.org/W6638193798"],"related_works":["https://openalex.org/W4319323581","https://openalex.org/W2039569224","https://openalex.org/W1734214274","https://openalex.org/W3120152545","https://openalex.org/W1591034480","https://openalex.org/W2794946234","https://openalex.org/W2950494058","https://openalex.org/W4237299327","https://openalex.org/W3008392579","https://openalex.org/W3128379716"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}